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Phone +995 57 407 47 27; mail: [email protected]; skype: george_mamulashviliProject of the New Instream jet underwater technology in Georgia
George Mamulashvili
George Mamulashvili
2014
Mainland hydraulic potential in TWh, which can be used with new technologies of producing electric energy by hydro-power stations operating in rivers without the device of artificial drop to obtain the pressure at the turbine.
2014
Underutilized land-and tidal-casting power or the amount of the possible use of new technologies.
Compare prices on produce traditional energy sources and using new technology without the pressure of HPP. The cost worked out per kilowatt hour without pressure HPP below 1 cent, due to the lack of large-scale hydraulic engineering construction works.
2014
Gravity run of river hydroelectric plant with a turbine of Savenius with a capacity of 25 kilowatts.
The project to use the irrigation channel for more energy in the amount of hundreds of thousands of kilowatt hours.
Installation of supporting metal I-beam of tubular cross-section with the mechanism of rotation of the rocker arm with the Savonius turbine and vertical generator.
Rocker with Savonius turbine and vertical generator.
Estimated value of the applied reactive free-flow underwater turbines in the irrigation channel in the city of Kutaisi in 50 km from capital of Georgia Tbilisi.
The mounting block of the five windmill crooked umbrella jet turbines with a capacity of 1 MW.
Underwater jet turbine with a capacity of 200 kW
The turbine shaftVortex turbineDiffuserDeflectorCollecting bellSupport frameProtective grille
Characteristics 200 kW turbine
Characteristics of reaction turbines with a capacity of 1000 kW
To test the physical model of the turbine in the laboratory of hydrodynamics of the St. Petersburg Polytechnic University.
What are the technology of underwater jet turbines better than other technologies.The horizontal jet turbine more powerful than the vertical turbine Savonius several times.The turbines with small dimensions can be installed in rivers with velocity more than 1.8 m/sec at a depth of 1 m.The susceptibility of the flow is highest of all known turbines as it has a large surface of turbine blades.Turbines have a high torque value on the shaft that allows the use of inexpensive gearboxes.The manufacturing costs of turbines are low, since blades can be made on special bending machines with high performance.Power plants with reaction turbines scalable.A low cost of manufacture, construction and operation, allows the use of such hydroelectric power station under different conditions and their mobility allows you to disassemble and assemble, depending on the need.
horizontalEl Power (kw)Mech power (kw)flow (m3/s)N (RPM)inlet dia (m)neck dia (m)outlet dia (m)turb. Length (m)shaft dia (mm)570.213800.40.220.40.386010130.423700.50.280.60.828015200.623000.70.360.70.969020270.752800.70.380.81.0910030401.22600.90.460.91.1611040531.526010.491.11.2211050671.92101.20.551.21.5113060802.52101.30.631.41.44130
El Power (kw)Mech power (kw)flow (m3/s)N (RPM)inlet dia (m)neck dia (m)outlet dia (m)turb. Length (m)shaft dia (mm)7510032501.50.731.51.2313510013342401.70.821.71.291441502015.920020.972.11.5617520026672002.21.042.31.631922503338.81752.51.152.51.8721630039910.31652.71.232.72.0123435046812.813031.443.12.4426740053413.91253.11.423.22.4427545060116.51203.41.603.52.6529765000.04260
turbines for fallsFall (m)3Fall (m)6flow (m3/s)El power (kw)Mech Power (kw)N (rpm)flow (m3/s)El power (kw)Mech Power (kw)N (rpm)4751001902751002605.41001341902.61001302507.91502011454150200230112002741355.420027021013.82503331206.625033020016.5300410110830040119019.53504861009.3350466175224005479510.740053616524.54506099012450599160
Fall (m)10Fall (m)15flow (m3/s)El power (kw)Mech Power (kw)N (rpm)flow (m3/s)El power (kw)Mech Power (kw)N (rpm)1.1775972200.8751002501.61001342101.11001372302.51502091751.61502001953.42002841502.22002751754.12503411402.72503381704.93004081353.23004001605.73504751353.83504751506.54005421304.34005381457.24506001254.8450600140
Feuil3
global calculationsHorizontal Axial TurbineGeneral Input dataImpeller datasfall height (m)0Total Twist angle ()180design flow rate (m3/s)7expansion angle ()44flow speed (m/s)1.8nb of distributor blades9El power (kW)200nb of impeller blades8N (rpm)200Iopt impeller ()2.5Inner casing dia (mm)350depth turbine under surface (m)2.5initial Static pressure (Pa)125838
thermodynamic resultsOverhaulgenerator speedmultiplicator ratiodH (kJ/kg)44.8Rotation speed (rpm)2003501.75total dH (kJ)314eff Mechanical power (kW)2665002.50inlet speed (m/s)9.6Torque (daN.m)12697503.75initial total pressure (Pa)1.3E+05final total pressure (Pa)1.7E+05Total dp (Pa)4.6E+04outlet turbine dp (Pa)4.5E+04final static pressure (Pa)9.1E+04final static pressure (atm)0.90dH turbine (kJ/kg)44.7total dH turbine (kJ)313Isentropic Efficiency (%)99.8polytropic efficiency (%)85Estimate max El. Power (kW)200root Cavitation factor1.04no cavitationInlet dimensionssection (m)3.9duct diameter (m)2.2inlet turbine section (m)0.73Vax inlet turbine (m/s)9.64inlet ext diameter (m)1.04Outlet dimensionsaperture angle ()44impeller axial length (m)1.63Outlet diameter (m)2.3outlet Vax (m/s)1.8
blades definitionImpeller definitionnb blades8e (mm)15twist angle ()180twist pitch (m)3.26inlet dia (m)1.04outlet dia (m)2.26length (m)1.63iopt 2.5inlet Impellerdist. block (m)0.047Mean R (m)0.347block (m)0.041real sect (m)0.706Um (m/s)7.28real sect (m)0.711Vax (m/s)9.91alfa ()33.8Vax (m/s)9.84R (m)alfa ()U (m/s)pitch (m)Vax (m/s)dp (Pa)Cav0.17518.63.670.13711.13619190.990.34733.87.280.27310.49550251.240.52045.010.890.40810.29529611.33
Outlet turbineblock0.11real sect3.81Vax (m/s)1.84
distributor sectionsdepth (m)2.5Pressure (Pa)12583820.000200.94gap (mm)3Nb blades9e (mm)15I opt impeller2.5R (m)real secttotal sectspeed ratioVax (m/s)U (m/s)alfa ()deviationdp (Pa)coef cav0.1750.961.101.1410.993.6718.4520.95603471.0440.3472.052.181.0710.277.2835.3137.81527631.3380.4862.923.051.0510.0810.1745.2547.75508371.4260.5203.133.271.0410.0510.8947.2849.78505291.441R (m)g %chordchorde (%c)camber ()st angle ()ioptpitch (m)sigmathk0.1757.23137.410.9216.410.4720.1220.0050.0110.34714.77262.95.7132.918.902.40.2430.0120.0050.48620.68363.54.1344.923.870.30.3390.0020.0130.52021.7380.018.7547.024.890.30.3630.0020.013
turbine blade developpmentinternal diameter (m)0.35Xa (m)Radius (m)alfa ()Ld (m)Ld1 (m)xo (m)x1 (m)x2 (m)external radius (m)1.0400.17518.61.721.7200.001.72Inlet impelleroutlet Diameter (m)2.300.34733.81.961.96-0.12-0.121.84leading edgeimpeller length (m)1.6300.52045.02.312.31-0.33-0.331.98twist angle ()1800.0820.55046.72.382.26-0.37-0.252.01calculation pitch (m)0.080.1630.58148.22.452.20-0.42-0.172.03impeller pitch (m)3.260.2450.61149.72.522.14-0.47-0.092.05expansion angle ()410.3260.64251.02.592.08-0.520.002.080.4080.67352.32.672.00-0.570.102.100.4900.70353.52.751.92-0.620.202.120.5710.73454.72.821.84-0.680.312.140.6530.76455.82.901.74-0.740.422.160.7340.79556.82.981.64-0.800.542.180.8160.82557.83.061.53-0.870.672.200.8970.85658.83.151.42-0.930.802.210.9790.88759.63.231.29-1.000.942.231.0610.91760.53.311.16-1.071.092.241.1420.94861.33.401.02-1.141.242.261.2240.97862.03.480.87-1.211.402.271.3051.00962.83.560.71-1.281.572.281.3871.03963.43.650.55-1.361.742.291.631.13165.33.910.00-1.602.312.31trailing edge
0.1750xa0.1751.720.5011.5
Xa (m)0.453R1 (m)0.520R2 (m)0.690section1sections length0.453r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.720.480.000.000.480.34733.81.960.55-0.12-0.120.420.52045.02.310.64-0.33-0.330.310.54246.22.360.65-0.36-0.360.300.56447.42.410.67-0.39-0.390.280.58648.52.460.68-0.43-0.430.260.60849.52.510.70-0.46-0.460.240.69053.02.710.75-0.60-0.600.15
Xa (m)0.906R1 (m)0.690R2 (m)0.859section2r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.720.960.000.480.960.34733.81.961.09-0.120.420.970.52045.02.311.28-0.330.310.950.56447.42.411.34-0.390.300.950.60849.52.511.40-0.460.280.930.65351.52.621.46-0.540.260.920.69753.32.731.52-0.610.240.900.85958.83.151.75-0.940.150.81
Xa (m)1.359R1 (m)0.859R2 (m)1.029section3r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.721.430.000.961.430.34733.81.961.64-0.120.971.510.52045.02.311.92-0.330.951.600.59148.72.472.06-0.430.951.630.66251.92.642.20-0.550.931.650.73354.72.822.35-0.680.921.670.80357.13.012.50-0.820.901.681.02963.23.623.02-1.330.811.68
Blade's developped formRadius (m)Section 1
mechanical calcThyssenShaft calculation42CrMo4shaft length (mm)3200Max torsion angle (/m)0.03Re (daN/mm)46Young modulus (daN/mm)21000poisson coef0.35transverse modulus (daN/mm)7778tau (daN/mm)8.9Torque N.m14324
Diameter (mm)/strain192Diameter (mm) long shaft183
general calc0.750.05Um (m/s)7.28deviat nom.()35.31Qv (mFlow Vax (m/s)neck speeddist Vax (m/s)rotor vax (m/s)outlet Vax (m/s)deviation ()st variation ()0.755.251.357.237.447.381.3844.69.30.85.61.447.717.937.871.4742.77.40.855.951.538.198.438.371.5641.05.70.96.31.628.678.928.861.6539.44.10.956.651.719.169.429.351.7537.92.6171.89.649.919.841.8436.51.21.057.351.8910.1210.4110.331.9335.1-0.21.17.71.9810.6010.9110.832.0233.9-1.41.158.052.0711.0811.4011.322.1132.71.28.42.1611.5611.9011.812.2131.61.258.752.2512.0512.3912.302.3030.6Qv (m3/s)Pinit (Pa)Neck P (Pa)Dist P (Pa)rotor P (Pa)Outlet P (Pa)5.25124926.399716.298195.798596.2124887.35.60124800.796117.394387.394843.0124756.45.95124667.192286.190333.190847.6124617.06.30124525.388222.886033.386610.1124469.26.65124375.583927.381487.782130.4124312.97.00124217.579399.676696.577408.5124148.27.35124051.574639.771659.572444.6123975.07.70123877.369647.666376.867238.5123793.48.05123695.164423.460848.561790.2123603.48.40123504.758966.955074.456099.8123404.98.75123306.353278.349054.650167.2123198.0ERROR:#DIV/0!0.0000.00796553520.00Cavitation coefficientMin cav. Coef2.87096172521.2501.2615662615.25134.33.73.53.5128.83.50.87078834180.00003450910.00662860495.60118.03.12.93.0113.12.90.30728722780.666813284338170.46088066765.95104.42.72.52.5100.12.58.13571074236.3093.02.32.12.189.12.16.6583.41.91.81.879.91.87.0075.11.71.51.572.01.59.637211959ERROR:#REF!ERROR:#REF!7.3568.11.41.31.365.21.344.8179271709313.7254901961ERROR:#REF!7.7061.91.21.11.159.31.10.7263511511313.72549019618.0556.61.00.90.954.20.91.02338605082008.4051.90.80.70.849.70.728.57142857147.341856518846437.92717086838.7547.70.70.60.645.70.654887.0728291317dH inlet (kJ)dH dist (kJ)static dH (kJ)dH turbine (kJ)dH total (kJ)-132.35-7.98-140.34138.03-2.31-160.63-9.69-170.32167.51-2.80-192.67-11.62-204.29200.93-3.36-228.71-13.79-242.50238.51-3.99-268.98-16.22-285.20280.51-4.69-313.73-18.92-332.65327.18-5.47-363.18-21.90-385.08378.75-6.33-417.57-25.19-442.75435.47-477.14-28.78-505.92-542.12-32.70-574.81-612.75-36.96-649.70
losses calculations
global calculationsHorizontal Axial TurbineGeneral Input dataImpeller datasfall height (m)0Total Twist angle ()180design flow rate (m3/s)7expansion angle ()44flow speed (m/s)1.8nb of distributor blades9El power (kW)200nb of impeller blades8N (rpm)200Iopt impeller ()2.5Inner casing dia (mm)350depth turbine under surface (m)2.5initial Static pressure (Pa)125838
thermodynamic resultsOverhaulgenerator speedmultiplicator ratiodH (kJ/kg)44.8Rotation speed (rpm)2003501.75total dH (kJ)314eff Mechanical power (kW)2665002.50inlet speed (m/s)9.6Torque (daN.m)12697503.75initial total pressure (Pa)1.3E+05final total pressure (Pa)1.7E+05Total dp (Pa)4.6E+04outlet turbine dp (Pa)4.5E+04final static pressure (Pa)9.1E+04final static pressure (atm)0.90dH turbine (kJ/kg)44.7total dH turbine (kJ)313Isentropic Efficiency (%)99.8polytropic efficiency (%)85Estimate max El. Power (kW)200root Cavitation factor1.04no cavitationInlet dimensionssection (m)3.9duct diameter (m)2.2inlet turbine section (m)0.73Vax inlet turbine (m/s)9.64inlet ext diameter (m)1.04Outlet dimensionsaperture angle ()44impeller axial length (m)1.63Outlet diameter (m)2.3outlet Vax (m/s)1.8
blades definitionImpeller definitionnb blades8e (mm)15twist angle ()180twist pitch (m)3.26inlet dia (m)1.04outlet dia (m)2.26length (m)1.63iopt 2.5inlet Impellerdist. block (m)0.047Mean R (m)0.347block (m)0.041real sect (m)0.706Um (m/s)7.28real sect (m)0.711Vax (m/s)9.91alfa ()33.8Vax (m/s)9.84R (m)alfa ()U (m/s)pitch (m)Vax (m/s)dp (Pa)Cav0.17518.63.670.13711.13619190.990.34733.87.280.27310.49550251.240.52045.010.890.40810.29529611.33
Outlet turbineblock0.11real sect3.81Vax (m/s)1.84
distributor sectionsdepth (m)2.5Pressure (Pa)12583820.000200.94gap (mm)3Nb blades9e (mm)15I opt impeller2.5R (m)real secttotal sectspeed ratioVax (m/s)U (m/s)alfa ()deviationdp (Pa)coef cav0.1750.961.101.1410.993.6718.4520.95603471.0440.3472.052.181.0710.277.2835.3137.81527631.3380.4862.923.051.0510.0810.1745.2547.75508371.4260.5203.133.271.0410.0510.8947.2849.78505291.441R (m)g %chordchorde (%c)camber ()st angle ()ioptpitch (m)sigmathk0.1757.23137.410.9216.410.4720.1220.0050.0110.34714.77262.95.7132.918.902.40.2430.0120.0050.48620.68363.54.1344.923.870.30.3390.0020.0130.52021.7380.018.7547.024.890.30.3630.0020.013
turbine blade developpmentinternal diameter (m)0.35Xa (m)Radius (m)alfa ()Ld (m)Ld1 (m)xo (m)x1 (m)x2 (m)external radius (m)1.0400.17518.61.721.7200.001.72Inlet impelleroutlet Diameter (m)2.300.34733.81.961.96-0.12-0.121.84leading edgeimpeller length (m)1.6300.52045.02.312.31-0.33-0.331.98twist angle ()1800.0820.55046.72.382.26-0.37-0.252.01calculation pitch (m)0.080.1630.58148.22.452.20-0.42-0.172.03impeller pitch (m)3.260.2450.61149.72.522.14-0.47-0.092.05expansion angle ()410.3260.64251.02.592.08-0.520.002.080.4080.67352.32.672.00-0.570.102.100.4900.70353.52.751.92-0.620.202.120.5710.73454.72.821.84-0.680.312.140.6530.76455.82.901.74-0.740.422.160.7340.79556.82.981.64-0.800.542.180.8160.82557.83.061.53-0.870.672.200.8970.85658.83.151.42-0.930.802.210.9790.88759.63.231.29-1.000.942.231.0610.91760.53.311.16-1.071.092.241.1420.94861.33.401.02-1.141.242.261.2240.97862.03.480.87-1.211.402.271.3051.00962.83.560.71-1.281.572.281.3871.03963.43.650.55-1.361.742.291.631.13165.33.910.00-1.602.312.31trailing edge
0.1750xa0.1751.720.5011.5
Xa (m)0.453R1 (m)0.520R2 (m)0.690section1sections length0.453r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.720.480.000.000.480.34733.81.960.55-0.12-0.120.420.52045.02.310.64-0.33-0.330.310.54246.22.360.65-0.36-0.360.300.56447.42.410.67-0.39-0.390.280.58648.52.460.68-0.43-0.430.260.60849.52.510.70-0.46-0.460.240.69053.02.710.75-0.60-0.600.15
Xa (m)0.906R1 (m)0.690R2 (m)0.859section2r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.720.960.000.480.960.34733.81.961.09-0.120.420.970.52045.02.311.28-0.330.310.950.56447.42.411.34-0.390.300.950.60849.52.511.40-0.460.280.930.65351.52.621.46-0.540.260.920.69753.32.731.52-0.610.240.900.85958.83.151.75-0.940.150.81
Xa (m)1.359R1 (m)0.859R2 (m)1.029section3r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.721.430.000.961.430.34733.81.961.64-0.120.971.510.52045.02.311.92-0.330.951.600.59148.72.472.06-0.430.951.630.66251.92.642.20-0.550.931.650.73354.72.822.35-0.680.921.670.80357.13.012.50-0.820.901.681.02963.23.623.02-1.330.811.68
Blade's developped formRadius (m)Section 1
mechanical calcThyssenShaft calculation42CrMo4shaft length (mm)3200Max torsion angle (/m)0.03Re (daN/mm)46Young modulus (daN/mm)21000poisson coef0.35transverse modulus (daN/mm)7778tau (daN/mm)8.9Torque N.m14324
Diameter (mm)/strain192Diameter (mm) long shaft183
general calc0.750.05Um (m/s)7.28deviat nom.()35.31Qv (mFlow Vax (m/s)neck speeddist Vax (m/s)rotor vax (m/s)outlet Vax (m/s)deviation ()st variation ()0.755.251.357.237.447.381.3844.69.30.85.61.447.717.937.871.4742.77.40.855.951.538.198.438.371.5641.05.70.96.31.628.678.928.861.6539.44.10.956.651.719.169.429.351.7537.92.6171.89.649.919.841.8436.51.21.057.351.8910.1210.4110.331.9335.1-0.21.17.71.9810.6010.9110.832.0233.9-1.41.158.052.0711.0811.4011.322.1132.71.28.42.1611.5611.9011.812.2131.61.258.752.2512.0512.3912.302.3030.6Qv (m3/s)Pinit (Pa)Neck P (Pa)Dist P (Pa)rotor P (Pa)Outlet P (Pa)5.25124926.399716.298195.798596.2124887.35.60124800.796117.394387.394843.0124756.45.95124667.192286.190333.190847.6124617.06.30124525.388222.886033.386610.1124469.26.65124375.583927.381487.782130.4124312.97.00124217.579399.676696.577408.5124148.27.35124051.574639.771659.572444.6123975.07.70123877.369647.666376.867238.5123793.48.05123695.164423.460848.561790.2123603.48.40123504.758966.955074.456099.8123404.98.75123306.353278.349054.650167.2123198.0ERROR:#DIV/0!0.0000.00796553520.00Cavitation coefficientMin cav. Coef2.87096172521.2501.2615662615.25134.33.73.53.5128.83.50.87078834180.00003450910.00662860495.60118.03.12.93.0113.12.90.30728722780.666813284338170.46088066765.95104.42.72.52.5100.12.58.13571074236.3093.02.32.12.189.12.16.6583.41.91.81.879.91.87.0075.11.71.51.572.01.59.637211959ERROR:#REF!ERROR:#REF!7.3568.11.41.31.365.21.344.8179271709313.7254901961ERROR:#REF!7.7061.91.21.11.159.31.10.7263511511313.72549019618.0556.61.00.90.954.20.91.02338605082008.4051.90.80.70.849.70.728.57142857147.341856518846437.92717086838.7547.70.70.60.645.70.654887.0728291317dH inlet (kJ)dH dist (kJ)static dH (kJ)dH turbine (kJ)dH total (kJ)-132.35-7.98-140.34138.03-2.31-160.63-9.69-170.32167.51-2.80-192.67-11.62-204.29200.93-3.36-228.71-13.79-242.50238.51-3.99-268.98-16.22-285.20280.51-4.69-313.73-18.92-332.65327.18-5.47-363.18-21.90-385.08378.75-6.33-417.57-25.19-442.75435.47-477.14-28.78-505.92-542.12-32.70-574.81-612.75-36.96-649.70
losses calculations
global calculationsHorizontal Axial TurbineGeneral Input dataImpeller datasfall height (m)0Total Twist angle ()180design flow rate (m3/s)7expansion angle ()44flow speed (m/s)1.8nb of distributor blades9El power (kW)200nb of impeller blades8N (rpm)200Iopt impeller ()2.5Inner casing dia (mm)350depth turbine under surface (m)2.5initial Static pressure (Pa)125838
thermodynamic resultsOverhaulgenerator speedmultiplicator ratiodH (kJ/kg)44.8Rotation speed (rpm)2003501.75total dH (kJ)314eff Mechanical power (kW)2665002.50inlet speed (m/s)9.6Torque (daN.m)12697503.75initial total pressure (Pa)1.3E+05final total pressure (Pa)1.7E+05Total dp (Pa)4.6E+04outlet turbine dp (Pa)4.5E+04final static pressure (Pa)9.1E+04final static pressure (atm)0.90dH turbine (kJ/kg)44.7total dH turbine (kJ)313Isentropic Efficiency (%)99.8polytropic efficiency (%)85Estimate max El. Power (kW)200root Cavitation factor1.04no cavitationInlet dimensionssection (m)3.9duct diameter (m)2.2inlet turbine section (m)0.73Vax inlet turbine (m/s)9.64inlet ext diameter (m)1.04Outlet dimensionsaperture angle ()44impeller axial length (m)1.63Outlet diameter (m)2.3outlet Vax (m/s)1.8
blades definitionImpeller definitionnb blades8e (mm)15twist angle ()180twist pitch (m)3.26inlet dia (m)1.04outlet dia (m)2.26length (m)1.63iopt 2.5inlet Impellerdist. block (m)0.047Mean R (m)0.347block (m)0.041real sect (m)0.706Um (m/s)7.28real sect (m)0.711Vax (m/s)9.91alfa ()33.8Vax (m/s)9.84R (m)alfa ()U (m/s)pitch (m)Vax (m/s)dp (Pa)Cav0.17518.63.670.13711.13619190.990.34733.87.280.27310.49550251.240.52045.010.890.40810.29529611.33
Outlet turbineblock0.11real sect3.81Vax (m/s)1.84
distributor sectionsdepth (m)2.5Pressure (Pa)12583820.000200.94gap (mm)3Nb blades9e (mm)15I opt impeller2.5R (m)real secttotal sectspeed ratioVax (m/s)U (m/s)alfa ()deviationdp (Pa)coef cav0.1750.961.101.1410.993.6718.4520.95603471.0440.3472.052.181.0710.277.2835.3137.81527631.3380.4862.923.051.0510.0810.1745.2547.75508371.4260.5203.133.271.0410.0510.8947.2849.78505291.441R (m)g %chordchorde (%c)camber ()st angle ()ioptpitch (m)sigmathk0.1757.23137.410.9216.410.4720.1220.0050.0110.34714.77262.95.7132.918.902.40.2430.0120.0050.48620.68363.54.1344.923.870.30.3390.0020.0130.52021.7380.018.7547.024.890.30.3630.0020.013
turbine blade developpmentinternal diameter (m)0.35Xa (m)Radius (m)alfa ()Ld (m)Ld1 (m)xo (m)x1 (m)x2 (m)external radius (m)1.0400.17518.61.721.7200.001.72Inlet impelleroutlet Diameter (m)2.300.34733.81.961.96-0.12-0.121.84leading edgeimpeller length (m)1.6300.52045.02.312.31-0.33-0.331.98twist angle ()1800.0820.55046.72.382.26-0.37-0.252.01calculation pitch (m)0.080.1630.58148.22.452.20-0.42-0.172.03impeller pitch (m)3.260.2450.61149.72.522.14-0.47-0.092.05expansion angle ()410.3260.64251.02.592.08-0.520.002.080.4080.67352.32.672.00-0.570.102.100.4900.70353.52.751.92-0.620.202.120.5710.73454.72.821.84-0.680.312.140.6530.76455.82.901.74-0.740.422.160.7340.79556.82.981.64-0.800.542.180.8160.82557.83.061.53-0.870.672.200.8970.85658.83.151.42-0.930.802.210.9790.88759.63.231.29-1.000.942.231.0610.91760.53.311.16-1.071.092.241.1420.94861.33.401.02-1.141.242.261.2240.97862.03.480.87-1.211.402.271.3051.00962.83.560.71-1.281.572.281.3871.03963.43.650.55-1.361.742.291.631.13165.33.910.00-1.602.312.31trailing edge
0.1750xa0.1751.720.5011.5
Xa (m)0.453R1 (m)0.520R2 (m)0.690section1sections length0.453r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.720.480.000.000.480.34733.81.960.55-0.12-0.120.420.52045.02.310.64-0.33-0.330.310.54246.22.360.65-0.36-0.360.300.56447.42.410.67-0.39-0.390.280.58648.52.460.68-0.43-0.430.260.60849.52.510.70-0.46-0.460.240.69053.02.710.75-0.60-0.600.15
Xa (m)0.906R1 (m)0.690R2 (m)0.859section2r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.720.960.000.480.960.34733.81.961.09-0.120.420.970.52045.02.311.28-0.330.310.950.56447.42.411.34-0.390.300.950.60849.52.511.40-0.460.280.930.65351.52.621.46-0.540.260.920.69753.32.731.52-0.610.240.900.85958.83.151.75-0.940.150.81
Xa (m)1.359R1 (m)0.859R2 (m)1.029section3r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.721.430.000.961.430.34733.81.961.64-0.120.971.510.52045.02.311.92-0.330.951.600.59148.72.472.06-0.430.951.630.66251.92.642.20-0.550.931.650.73354.72.822.35-0.680.921.670.80357.13.012.50-0.820.901.681.02963.23.623.02-1.330.811.68
Blade's developped formRadius (m)Section 1
mechanical calcThyssenShaft calculation42CrMo4shaft length (mm)3200Max torsion angle (/m)0.03Re (daN/mm)46Young modulus (daN/mm)21000poisson coef0.35transverse modulus (daN/mm)7778tau (daN/mm)8.9Torque N.m14324
Diameter (mm)/strain192Diameter (mm) long shaft183
general calc0.750.05Um (m/s)7.28deviat nom.()35.31Qv (mFlow Vax (m/s)neck speeddist Vax (m/s)rotor vax (m/s)outlet Vax (m/s)deviation ()st variation ()0.755.251.357.237.447.381.3844.69.30.85.61.447.717.937.871.4742.77.40.855.951.538.198.438.371.5641.05.70.96.31.628.678.928.861.6539.44.10.956.651.719.169.429.351.7537.92.6171.89.649.919.841.8436.51.21.057.351.8910.1210.4110.331.9335.1-0.21.17.71.9810.6010.9110.832.0233.9-1.41.158.052.0711.0811.4011.322.1132.71.28.42.1611.5611.9011.812.2131.61.258.752.2512.0512.3912.302.3030.6Qv (m3/s)Pinit (Pa)Neck P (Pa)Dist P (Pa)rotor P (Pa)Outlet P (Pa)5.25124926.399716.298195.798596.2124887.35.60124800.796117.394387.394843.0124756.45.95124667.192286.190333.190847.6124617.06.30124525.388222.886033.386610.1124469.26.65124375.583927.381487.782130.4124312.97.00124217.579399.676696.577408.5124148.27.35124051.574639.771659.572444.6123975.07.70123877.369647.666376.867238.5123793.48.05123695.164423.460848.561790.2123603.48.40123504.758966.955074.456099.8123404.98.75123306.353278.349054.650167.2123198.0ERROR:#DIV/0!0.0000.00796553520.00Cavitation coefficientMin cav. Coef2.87096172521.2501.2615662615.25134.33.73.53.5128.83.50.87078834180.00003450910.00662860495.60118.03.12.93.0113.12.90.30728722780.666813284338170.46088066765.95104.42.72.52.5100.12.58.13571074236.3093.02.32.12.189.12.16.6583.41.91.81.879.91.87.0075.11.71.51.572.01.59.637211959ERROR:#REF!ERROR:#REF!7.3568.11.41.31.365.21.344.8179271709313.7254901961ERROR:#REF!7.7061.91.21.11.159.31.10.7263511511313.72549019618.0556.61.00.90.954.20.91.02338605082008.4051.90.80.70.849.70.728.57142857147.341856518846437.92717086838.7547.70.70.60.645.70.654887.0728291317dH inlet (kJ)dH dist (kJ)static dH (kJ)dH turbine (kJ)dH total (kJ)-132.35-7.98-140.34138.03-2.31-160.63-9.69-170.32167.51-2.80-192.67-11.62-204.29200.93-3.36-228.71-13.79-242.50238.51-3.99-268.98-16.22-285.20280.51-4.69-313.73-18.92-332.65327.18-5.47-363.18-21.90-385.08378.75-6.33-417.57-25.19-442.75435.47-477.14-28.78-505.92-542.12-32.70-574.81-612.75-36.96-649.70
losses calculations
global calculationsHorizontal Axial TurbineGeneral Input dataImpeller datasfall height (m)0Total Twist angle ()180design flow rate (m3/s)7expansion angle ()44flow speed (m/s)1.8nb of distributor blades9El power (kW)200nb of impeller blades8N (rpm)200Iopt impeller ()2.5Inner casing dia (mm)350depth turbine under surface (m)2.5initial Static pressure (Pa)125838
thermodynamic resultsOverhaulgenerator speedmultiplicator ratiodH (kJ/kg)44.8Rotation speed (rpm)2003501.75total dH (kJ)314eff Mechanical power (kW)2665002.50inlet speed (m/s)9.6Torque (daN.m)12697503.75initial total pressure (Pa)1.3E+05final total pressure (Pa)1.7E+05Total dp (Pa)4.6E+04outlet turbine dp (Pa)4.5E+04final static pressure (Pa)9.1E+04final static pressure (atm)0.90dH turbine (kJ/kg)44.7total dH turbine (kJ)313Isentropic Efficiency (%)99.8polytropic efficiency (%)85Estimate max El. Power (kW)200root Cavitation factor1.04no cavitationInlet dimensionssection (m)3.9duct diameter (m)2.2inlet turbine section (m)0.73Vax inlet turbine (m/s)9.64inlet ext diameter (m)1.04Outlet dimensionsaperture angle ()44impeller axial length (m)1.63Outlet diameter (m)2.3outlet Vax (m/s)1.8
blades definitionImpeller definitionnb blades8e (mm)15twist angle ()180twist pitch (m)3.26inlet dia (m)1.04outlet dia (m)2.26length (m)1.63iopt 2.5inlet Impellerdist. block (m)0.047Mean R (m)0.347block (m)0.041real sect (m)0.706Um (m/s)7.28real sect (m)0.711Vax (m/s)9.91alfa ()33.8Vax (m/s)9.84R (m)alfa ()U (m/s)pitch (m)Vax (m/s)dp (Pa)Cav0.17518.63.670.13711.13619190.990.34733.87.280.27310.49550251.240.52045.010.890.40810.29529611.33
Outlet turbineblock0.11real sect3.81Vax (m/s)1.84
distributor sectionsdepth (m)2.5Pressure (Pa)12583820.000200.94gap (mm)3Nb blades9e (mm)15I opt impeller2.5R (m)real secttotal sectspeed ratioVax (m/s)U (m/s)alfa ()deviationdp (Pa)coef cav0.1750.961.101.1410.993.6718.4520.95603471.0440.3472.052.181.0710.277.2835.3137.81527631.3380.4862.923.051.0510.0810.1745.2547.75508371.4260.5203.133.271.0410.0510.8947.2849.78505291.441R (m)g %chordchorde (%c)camber ()st angle ()ioptpitch (m)sigmathk0.1757.23137.410.9216.410.4720.1220.0050.0110.34714.77262.95.7132.918.902.40.2430.0120.0050.48620.68363.54.1344.923.870.30.3390.0020.0130.52021.7380.018.7547.024.890.30.3630.0020.013
turbine blade developpmentinternal diameter (m)0.35Xa (m)Radius (m)alfa ()Ld (m)Ld1 (m)xo (m)x1 (m)x2 (m)external radius (m)1.0400.17518.61.721.7200.001.72Inlet impelleroutlet Diameter (m)2.300.34733.81.961.96-0.12-0.121.84leading edgeimpeller length (m)1.6300.52045.02.312.31-0.33-0.331.98twist angle ()1800.0820.55046.72.382.26-0.37-0.252.01calculation pitch (m)0.080.1630.58148.22.452.20-0.42-0.172.03impeller pitch (m)3.260.2450.61149.72.522.14-0.47-0.092.05expansion angle ()410.3260.64251.02.592.08-0.520.002.080.4080.67352.32.672.00-0.570.102.100.4900.70353.52.751.92-0.620.202.120.5710.73454.72.821.84-0.680.312.140.6530.76455.82.901.74-0.740.422.160.7340.79556.82.981.64-0.800.542.180.8160.82557.83.061.53-0.870.672.200.8970.85658.83.151.42-0.930.802.210.9790.88759.63.231.29-1.000.942.231.0610.91760.53.311.16-1.071.092.241.1420.94861.33.401.02-1.141.242.261.2240.97862.03.480.87-1.211.402.271.3051.00962.83.560.71-1.281.572.281.3871.03963.43.650.55-1.361.742.291.631.13165.33.910.00-1.602.312.31trailing edge
0.1750xa0.1751.720.5011.5
Xa (m)0.453R1 (m)0.520R2 (m)0.690section1sections length0.453r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.720.480.000.000.480.34733.81.960.55-0.12-0.120.420.52045.02.310.64-0.33-0.330.310.54246.22.360.65-0.36-0.360.300.56447.42.410.67-0.39-0.390.280.58648.52.460.68-0.43-0.430.260.60849.52.510.70-0.46-0.460.240.69053.02.710.75-0.60-0.600.15
Xa (m)0.906R1 (m)0.690R2 (m)0.859section2r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.720.960.000.480.960.34733.81.961.09-0.120.420.970.52045.02.311.28-0.330.310.950.56447.42.411.34-0.390.300.950.60849.52.511.40-0.460.280.930.65351.52.621.46-0.540.260.920.69753.32.731.52-0.610.240.900.85958.83.151.75-0.940.150.81
Xa (m)1.359R1 (m)0.859R2 (m)1.029section3r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.17518.61.721.430.000.961.430.34733.81.961.64-0.120.971.510.52045.02.311.92-0.330.951.600.59148.72.472.06-0.430.951.630.66251.92.642.20-0.550.931.650.73354.72.822.35-0.680.921.670.80357.13.012.50-0.820.901.681.02963.23.623.02-1.330.811.68
Blade's developped formRadius (m)Section 1
mechanical calcThyssenShaft calculation42CrMo4shaft length (mm)3200Max torsion angle (/m)0.03Re (daN/mm)46Young modulus (daN/mm)21000poisson coef0.35transverse modulus (daN/mm)7778tau (daN/mm)8.9Torque N.m14324
Diameter (mm)/strain192Diameter (mm) long shaft183
general calc0.750.05Um (m/s)7.28deviat nom.()35.31Qv (mFlow Vax (m/s)neck speeddist Vax (m/s)rotor vax (m/s)outlet Vax (m/s)deviation ()st variation ()0.755.251.357.237.447.381.3844.69.30.85.61.447.717.937.871.4742.77.40.855.951.538.198.438.371.5641.05.70.96.31.628.678.928.861.6539.44.10.956.651.719.169.429.351.7537.92.6171.89.649.919.841.8436.51.21.057.351.8910.1210.4110.331.9335.1-0.21.17.71.9810.6010.9110.832.0233.9-1.41.158.052.0711.0811.4011.322.1132.71.28.42.1611.5611.9011.812.2131.61.258.752.2512.0512.3912.302.3030.6Qv (m3/s)Pinit (Pa)Neck P (Pa)Dist P (Pa)rotor P (Pa)Outlet P (Pa)5.25124926.399716.298195.798596.2124887.35.60124800.796117.394387.394843.0124756.45.95124667.192286.190333.190847.6124617.06.30124525.388222.886033.386610.1124469.26.65124375.583927.381487.782130.4124312.97.00124217.579399.676696.577408.5124148.27.35124051.574639.771659.572444.6123975.07.70123877.369647.666376.867238.5123793.48.05123695.164423.460848.561790.2123603.48.40123504.758966.955074.456099.8123404.98.75123306.353278.349054.650167.2123198.0ERROR:#DIV/0!0.0000.00796553520.00Cavitation coefficientMin cav. Coef2.87096172521.2501.2615662615.25134.33.73.53.5128.83.50.87078834180.00003450910.00662860495.60118.03.12.93.0113.12.90.30728722780.666813284338170.46088066765.95104.42.72.52.5100.12.58.13571074236.3093.02.32.12.189.12.16.6583.41.91.81.879.91.87.0075.11.71.51.572.01.59.637211959ERROR:#REF!ERROR:#REF!7.3568.11.41.31.365.21.344.8179271709313.7254901961ERROR:#REF!7.7061.91.21.11.159.31.10.7263511511313.72549019618.0556.61.00.90.954.20.91.02338605082008.4051.90.80.70.849.70.728.57142857147.341856518846437.92717086838.7547.70.70.60.645.70.654887.0728291317dH inlet (kJ)dH dist (kJ)static dH (kJ)dH turbine (kJ)dH total (kJ)-132.35-7.98-140.34138.03-2.31-160.63-9.69-170.32167.51-2.80-192.67-11.62-204.29200.93-3.36-228.71-13.79-242.50238.51-3.99-268.98-16.22-285.20280.51-4.69-313.73-18.92-332.65327.18-5.47-363.18-21.90-385.08378.75-6.33-417.57-25.19-442.75435.47-477.14-28.78-505.92-542.12-32.70-574.81-612.75-36.96-649.70
losses calculations
Feuil1324236320.7283950617896.62.41.8section180131
turbine calculationsTurbine Power (estimation)ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000inlet Dia (m)4.1inlet Dia (m)2.25inlet Dia (m)2.4inlet Dia (m)2.08inlet Dia (m)1.48inlet Dia (m)1.25Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Height (m)3.7Height (m)6Height (m)3.7Height (m)3.7Height (m)3.7Height (m)3.7ResultsResultsResultsResultsResultsResultsQv (m3/s)63.4Qv (m3/s)19.1Qv (m3/s)21.7Qv (m3/s)16.3Qv (m3/s)8.3Qv (m3/s)5.9Mech Power (kw)2299.42Mech Power (kw)1122.96Mech Power (kw)787.90Mech Power (kw)591.80Mech Power (kw)299.62Mech Power (kw)213.73net power (kW)1379.65net power (kW)673.78net power (kW)472.74net power (kW)355.08net power (kW)179.77net power (kW)128.24Elec Power (kW)1000.25Elec Power (kW)505.33Elec Power (kW)401.83Elec Power (kW)301.82Elec Power (kW)152.81Elec Power (kW)109.00Speed (rpm)148.6Speed (rpm)212.7Speed (rpm)253.9Speed (rpm)293.0Speed (rpm)411.8Speed (rpm)487.5Spec speed (rps)1.00Spec speed (rps)1.02Spec speed (rps)1.05Spec speed (rps)1.05Spec speed (rps)1.05Spec speed (rps)1.05multiplicator ratio1.052.751.792.072.913.44357.3136.5209.2181.3129.0108.93.97607820221Generator speed375rpm0.32.515.99431280883.99928903797.6340701482
turbine 100 kwTurbine 100 kWShaft calculationro (kg/m3)1000shaft length (mm)2600flanges1.2271846303inlet Dia (m)1.25Max torsion angle (/m)0.05drilling F (mm)2801.1283791671Flow Speed (m/s)4.8Re (daN/mm)40Nb of bolts81.25Height (m)3.7Young modulus (daN/mm)20000shear force (daN)14.71.5339807879Resultspoisson coef0.35cover16.671221.7Qv (m3/s)5.9transverse modulus (daN/mm)7407drilling F (mm)5004.87.5088241423Mech Power (kw)214tau (daN/mm)7.7Nb of bolts80.78447518730.98059398410.4902969921net power (kW)128Torque N.m4186shear force (daN)26.2Elec Power (kW)109Speed (rpm)487.5Diameter (mm)/strain134Spec speed (rps)1.05Diameter (mm) long shaft126Multiplicator ratio0.77Free falll calculationImpeller determinationCement weightdwg TBS 002dv (m/s)36.3Radius impeller600Itemw (kg)V finale (m/s)9.8angle helix701+215300dh fourni (j/kg)36.3height impeller125033825dh total (kJ)214perimeter377044700pitch1035853825outlet under waterangle impeller covered41.7total weight (kg)27650outlet pressure0.358length 1277.0inlet channel12125dp due to height0.358axe diameter (mm)219.1outlet channel240500.000number of blades5total weight (kg)36175thickness (mm)3Speed triangles39.27width (mm)490.5turbinedwg TBS 001area (m)0.63Itemw (kg)weight (kg)14.7A392.5B37D34.07tube DN 20065.03RU (m/s)Va (m/s)alfablades (qty=5) total50.080.1104.304.8209.8Bolts/nuts (+10%)57.8680.25810.124.8209.8total weight (kg)6370.62524.544.8209.8
turbine 500 kwTurbine 500 kWShaft calculationro (kg/m3)1000shaft length (mm)2600flanges0.58inlet Dia (m)2.25Max torsion angle (/m)0.05drilling F (mm)2800.12Flow Speed (m/s)4.8Re (daN/mm)40Nb of bolts81.70Height (m)6Young modulus (daN/mm)20000shear force (daN)176.5Resultspoisson coef0.35coverQv (m3/s)19.1transverse modulus (daN/mm)7407drilling F (mm)500Mech Power (kw)1123tau (daN/mm)7.7Nb of bolts8net power (kW)674Torque N.m50415shear force (daN)315.1Elec Power (kW)505Speed (rpm)213Diameter (mm)/strain305Spec speed (rps)1.05Diameter (mm) long shaft235Multiplicator ratio1.76Free falll calculationdv (m/s)59V finale (m/s)12dh fourni (j/kg)59dh total (kJ)1123
velocity (rpm)37540Va3.68Radius (m)U (m/s)Vu1U-VUw1alfadh/Uw2beta0.1756.93.093.84.845.08.65.664.60.38815.23.0912.14.845.03.95.266.41.12544.23.0941.14.845.01.34.967.4
Radius impeller1250angle helix50height impeller450perimeter7854pitch9360angle impeller covered34.6length 1174.9axe diameter (mm)360number of blades5thickness (mm)5width (mm)1070.0area (m)1.26weight (kg)49.3
Feuil2channel speed1.44speed needed5section ratio0.288height turbine2.5diametre1.45turbine section3.625channel width5.0347222222
horizontal 500 kwHorizontal turbine 500 kW06/29/2016
initial flow speed (m/s)2number of units 5Construction datainlet speed (m/s)4.4mech. power/unit (kW)225rectangular sectionElec Power (kW)500Elec. Power/unit (kW)100width (m)2Betz limit0.593inlet section (m)5.3Height (m)2.6efficiency0.75Venturi section (m)11.6total length (m)23.8Mech Power (k)1124inlet diameter (m)2.6Venturi dimensionsinlet section (m)26.4venturi diameter (m)3.8angle venturi ()30venturi section (m)40.1Mass flow (kg/s)23227.8325180364Height (m)2.60.44Max width (m)4.4Sections ratio2.200.6633249581length (m)4.5diameter ratio1.52.5507667236Installation length (m)28.2venturi diameter (m)7.1Inlet diameter (m)5.80Mass flow (kg/s)116139.162590182
Intern diameter (m)1.5Ext diameter (m)5.99Savonius turbinesynchronus generatorheight (m)2.5400 V - 50Hz-100 kWdiameter (m)1.5With frequency variatorBetz coef0.593density (k/m3)1000Section (m)3.75Rotation Speed (rpm)112Power (kw)95Torque m.daN807.2Generator speed (rpm)375Mult. Ratio3.35Elec. Power (kw)71.0pressure/blades (dan/m)968
Feuil1324236320.7283950617896.62.41.8section180131
turbine calculationsTurbine Power (estimation)ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000inlet Dia (m)4.1inlet Dia (m)2.25inlet Dia (m)2.4inlet Dia (m)2.08inlet Dia (m)1.48inlet Dia (m)1.25Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Height (m)3.7Height (m)6Height (m)3.7Height (m)3.7Height (m)3.7Height (m)3.7ResultsResultsResultsResultsResultsResultsQv (m3/s)63.4Qv (m3/s)19.1Qv (m3/s)21.7Qv (m3/s)16.3Qv (m3/s)8.3Qv (m3/s)5.9Mech Power (kw)2299.42Mech Power (kw)1122.96Mech Power (kw)787.90Mech Power (kw)591.80Mech Power (kw)299.62Mech Power (kw)213.73net power (kW)1379.65net power (kW)673.78net power (kW)472.74net power (kW)355.08net power (kW)179.77net power (kW)128.24Elec Power (kW)1000.25Elec Power (kW)505.33Elec Power (kW)401.83Elec Power (kW)301.82Elec Power (kW)152.81Elec Power (kW)109.00Speed (rpm)148.6Speed (rpm)212.7Speed (rpm)253.9Speed (rpm)293.0Speed (rpm)411.8Speed (rpm)487.5Spec speed (rps)1.00Spec speed (rps)1.02Spec speed (rps)1.05Spec speed (rps)1.05Spec speed (rps)1.05Spec speed (rps)1.05multiplicator ratio1.05multiplicator ratio2.751.792.072.913.44357.3136.5209.2181.3129.0108.93.97607820221Generator speed375rpm0.32.515.99431280883.99928903797.6340701482
turbine 100 kwTurbine 100 kWShaft calculationro (kg/m3)1000shaft length (mm)2600flanges1.2271846303inlet Dia (m)1.25Max torsion angle (/m)0.05drilling F (mm)2801.1283791671Flow Speed (m/s)4.8Re (daN/mm)40Nb of bolts81.25Height (m)3.7Young modulus (daN/mm)20000shear force (daN)14.71.5339807879Resultspoisson coef0.35cover16.671221.7Qv (m3/s)5.9transverse modulus (daN/mm)7407drilling F (mm)5004.87.5088241423Mech Power (kw)214tau (daN/mm)7.7Nb of bolts80.78447518730.98059398410.4902969921net power (kW)128Torque N.m4186shear force (daN)26.2Elec Power (kW)109Speed (rpm)487.5Diameter (mm)/strain134Spec speed (rps)1.05Diameter (mm) long shaft126Multiplicator ratio0.77Free falll calculationImpeller determinationCement weightdwg TBS 002dv (m/s)36.3Radius impeller600Itemw (kg)V finale (m/s)9.8angle helix701+215300dh fourni (j/kg)36.3height impeller125033825dh total (kJ)214perimeter377044700pitch1035853825outlet under waterangle impeller covered41.7total weight (kg)27650outlet pressure0.358length 1277.0inlet channel12125dp due to height0.358axe diameter (mm)219.1outlet channel240500.000number of blades5total weight (kg)36175thickness (mm)3Speed triangles39.27width (mm)490.5turbinedwg TBS 001area (m)0.63Itemw (kg)weight (kg)14.7A392.5B37D34.07tube DN 20065.03RU (m/s)Va (m/s)alfablades (qty=5) total50.080.1104.304.8209.8Bolts/nuts (+10%)57.8680.25810.124.8209.8total weight (kg)6370.62524.544.8209.8
turbine 500 kwTurbine 500 kWShaft calculationro (kg/m3)1000shaft length (mm)2600flanges0.58inlet Dia (m)2.25Max torsion angle (/m)0.05drilling F (mm)2800.12Flow Speed (m/s)4.8Re (daN/mm)40Nb of bolts81.70Height (m)6Young modulus (daN/mm)20000shear force (daN)176.5Resultspoisson coef0.35coverQv (m3/s)19.1transverse modulus (daN/mm)7407drilling F (mm)500Mech Power (kw)1123tau (daN/mm)7.7Nb of bolts8net power (kW)674Torque N.m50415shear force (daN)315.1Elec Power (kW)505Speed (rpm)213Diameter (mm)/strain305Spec speed (rps)1.05Diameter (mm) long shaft235Multiplicator ratio1.76Free falll calculationdv (m/s)59V finale (m/s)12dh fourni (j/kg)59dh total (kJ)1123
velocity (rpm)37540Va3.68Radius (m)U (m/s)Vu1U-VUw1alfadh/Uw2beta0.1756.93.093.84.845.08.65.664.60.38815.23.0912.14.845.03.95.266.41.12544.23.0941.14.845.01.34.967.4
Radius impeller1250angle helix50height impeller450perimeter7854pitch9360angle impeller covered34.6length 1174.9axe diameter (mm)360number of blades5thickness (mm)5width (mm)1070.0area (m)1.26weight (kg)49.3
Feuil2channel speed1.44speed needed5section ratio0.288height turbine2.5diametre1.45turbine section3.625channel width5.0347222222
horizontal 500 kwHorizontal turbine 500 kW06/29/2016
initial flow speed (m/s)2number of units 5Construction datainlet speed (m/s)4.4mech. power/unit (kW)225rectangular sectionElec Power (kW)500Elec. Power/unit (kW)100width (m)2Betz limit0.593inlet section (m)5.3Height (m)2.6efficiency0.75Venturi section (m)11.6total length (m)23.8Mech Power (k)1124inlet diameter (m)2.6Venturi dimensionsinlet section (m)26.4venturi diameter (m)3.8angle venturi ()30venturi section (m)40.1Mass flow (kg/s)23227.8325180364Height (m)2.60.44Max width (m)4.4Sections ratio2.200.6633249581length (m)4.5diameter ratio1.52.5507667236Installation length (m)28.2venturi diameter (m)7.1Inlet diameter (m)5.80Mass flow (kg/s)116139.162590182
Intern diameter (m)1.5Ext diameter (m)5.99Savonius turbinesynchronus generatorheight (m)2.5400 V - 50Hz-100 kWdiameter (m)1.5With frequency variatorBetz coef0.593density (k/m3)1000Section (m)3.75Rotation Speed (rpm)112Power (kw)95Torque m.daN807.2Generator speed (rpm)375Mult. Ratio3.35Elec. Power (kw)71.0pressure/blades (dan/m)968
Feuil1324236320.7283950617896.62.41.8section180131
turbine calculationsTurbine Power (estimation)ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000inlet Dia (m)4.1inlet Dia (m)2.25inlet Dia (m)2.4inlet Dia (m)2.08inlet Dia (m)1.48inlet Dia (m)1.25Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Height (m)3.7Height (m)6Height (m)3.7Height (m)3.7Height (m)3.7Height (m)3.7ResultsResultsResultsResultsResultsResultsQv (m3/s)63.4Qv (m3/s)19.1Qv (m3/s)21.7Qv (m3/s)16.3Qv (m3/s)8.3Qv (m3/s)5.9Mech Power (kw)2299.42Mech Power (kw)1122.96Mech Power (kw)787.90Mech Power (kw)591.80Mech Power (kw)299.62Mech Power (kw)213.73net power (kW)1379.65net power (kW)673.78net power (kW)472.74net power (kW)355.08net power (kW)179.77net power (kW)128.24Elec Power (kW)1000.25Elec Power (kW)505.33Elec Power (kW)401.83Elec Power (kW)301.82Elec Power (kW)152.81Elec Power (kW)109.00Speed (rpm)148.6Speed (rpm)212.7Speed (rpm)253.9Speed (rpm)293.0Speed (rpm)411.8Speed (rpm)487.5Spec speed (rps)1.00Spec speed (rps)1.02Spec speed (rps)1.05Spec speed (rps)1.05Spec speed (rps)1.05Spec speed (rps)1.05multiplicator ratio1.05multiplicator ratio2.751.792.072.913.44357.3136.5209.2181.3129.0108.93.97607820221Generator speed375rpm0.32.515.99431280883.99928903797.6340701482
turbine 100 kwTurbine 100 kWShaft calculationro (kg/m3)1000shaft length (mm)2600flanges1.2271846303inlet Dia (m)1.25Max torsion angle (/m)0.05drilling F (mm)2801.1283791671Flow Speed (m/s)4.8Re (daN/mm)40Nb of bolts81.25Height (m)3.7Young modulus (daN/mm)20000shear force (daN)14.71.5339807879Resultspoisson coef0.35cover16.671221.7Qv (m3/s)5.9transverse modulus (daN/mm)7407drilling F (mm)5004.87.5088241423Mech Power (kw)214tau (daN/mm)7.7Nb of bolts80.78447518730.98059398410.4902969921net power (kW)128Torque N.m4186shear force (daN)26.2Elec Power (kW)109Speed (rpm)487.5Diameter (mm)/strain134Spec speed (rps)1.05Diameter (mm) long shaft126Multiplicator ratio0.77Free falll calculationImpeller determinationCement weightdwg TBS 002dv (m/s)36.3Radius impeller600Itemw (kg)V finale (m/s)9.8angle helix701+215300dh fourni (j/kg)36.3height impeller125033825dh total (kJ)214perimeter377044700pitch1035853825outlet under waterangle impeller covered41.7total weight (kg)27650outlet pressure0.358length 1277.0inlet channel12125dp due to height0.358axe diameter (mm)219.1outlet channel240500.000number of blades5total weight (kg)36175thickness (mm)3Speed triangles39.27width (mm)490.5turbinedwg TBS 001area (m)0.63Itemw (kg)weight (kg)14.7A392.5B37D34.07tube DN 20065.03RU (m/s)Va (m/s)alfablades (qty=5) total50.080.1104.304.8209.8Bolts/nuts (+10%)57.8680.25810.124.8209.8total weight (kg)6370.62524.544.8209.8
turbine 500 kwTurbine 500 kWShaft calculationro (kg/m3)1000shaft length (mm)2600flanges0.58inlet Dia (m)2.25Max torsion angle (/m)0.05drilling F (mm)2800.12Flow Speed (m/s)4.8Re (daN/mm)40Nb of bolts81.70Height (m)6Young modulus (daN/mm)20000shear force (daN)176.5Resultspoisson coef0.35coverQv (m3/s)19.1transverse modulus (daN/mm)7407drilling F (mm)500Mech Power (kw)1123tau (daN/mm)7.7Nb of bolts8net power (kW)674Torque N.m50415shear force (daN)315.1Elec Power (kW)505Speed (rpm)213Diameter (mm)/strain305Spec speed (rps)1.05Diameter (mm) long shaft235Multiplicator ratio1.76Free falll calculationdv (m/s)59V finale (m/s)12dh fourni (j/kg)59dh total (kJ)1123
velocity (rpm)37540Va3.68Radius (m)U (m/s)Vu1U-VUw1alfadh/Uw2beta0.1756.93.093.84.845.08.65.664.60.38815.23.0912.14.845.03.95.266.41.12544.23.0941.14.845.01.34.967.4
Radius impeller1250angle helix50height impeller450perimeter7854pitch9360angle impeller covered34.6length 1174.9axe diameter (mm)360number of blades5thickness (mm)5width (mm)1070.0area (m)1.26weight (kg)49.3
Feuil2channel speed1,44 m/secspeed needed5section ratioERROR:#VALUE!height turbine2.5diametre1.45turbine section3.625channel widthERROR:#VALUE!
horizontal 500 kwHorizontal turbine 500 kW06/29/2016
initial flow speed (m/s)2number of units 5Construction datainlet speed (m/s)4.4mech. power/unit (kW)225rectangular sectionElec Power (kW)500Elec. Power/unit (kW)100width (m)2Betz limit0.593inlet section (m)5.3Height (m)2.6efficiency0.75Venturi section (m)11.6total length (m)23.8Mech Power (k)1124inlet diameter (m)2.6Venturi dimensionsinlet section (m)26.4venturi diameter (m)3.8angle venturi ()30venturi section (m)40.1Mass flow (kg/s)23227.8325180364Height (m)2.60.44Max width (m)4.4Sections ratio2.200.6633249581length (m)4.5diameter ratio1.52.5507667236Installation length (m)28.2venturi diameter (m)7.1Inlet diameter (m)5.80Mass flow (kg/s)116139.162590182
Intern diameter (m)1.5Ext diameter (m)5.99Savonius turbinesynchronus generatorheight (m)2.5400 V - 50Hz-100 kWdiameter (m)1.5With frequency variatorBetz coef0.593density (k/m3)1000Section (m)3.75Rotation Speed (rpm)112Power (kw)95Torque m.daN807.2Generator speed (rpm)375Mult. Ratio3.35Elec. Power (kw)71.0pressure/blades (dan/m)968
Feuil1324236320.7283950617896.62.41.8section180131
turbine calculationsTurbine Power (estimation)ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000ro (kg/m3)1000inlet Dia (m)4.1inlet Dia (m)2.25inlet Dia (m)2.4inlet Dia (m)2.08inlet Dia (m)1.48inlet Dia (m)1.25Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Flow Speed (m/s)4.8Height (m)3.7Height (m)6Height (m)3.7Height (m)3.7Height (m)3.7Height (m)3.7ResultsResultsResultsResultsResultsResultsQv (m3/s)63.4Qv (m3/s)19.1Qv (m3/s)21.7Qv (m3/s)16.3Qv (m3/s)8.3Qv (m3/s)5.9Mech Power (kw)2299.42Mech Power (kw)1122.96Mech Power (kw)787.90Mech Power (kw)591.80Mech Power (kw)299.62Mech Power (kw)213.73net power (kW)1379.65net power (kW)673.78net power (kW)472.74net power (kW)355.08net power (kW)179.77net power (kW)128.24Elec Power (kW)1000.25Elec Power (kW)505.33Elec Power (kW)401.83Elec Power (kW)301.82Elec Power (kW)152.81Elec Power (kW)109.00Speed (rpm)148.6Speed (rpm)212.7Speed (rpm)253.9Speed (rpm)293.0Speed (rpm)411.8Speed (rpm)487.5Spec speed (rps)1.00Spec speed (rps)1.02Spec speed (rps)1.05Spec speed (rps)1.05Spec speed (rps)1.05Spec speed (rps)1.05multiplicator ratio1.05multiplicator ratio2.751.792.072.913.44357.3136.5209.2181.3129.0108.93.97607820221Generator speed375rpm0.32.515.99431280883.99928903797.6340701482
turbine 100 kwTurbine 100 kWShaft calculationro (kg/m3)1000shaft length (mm)2600flanges1.2271846303inlet Dia (m)1.25Max torsion angle (/m)0.05drilling F (mm)2801.1283791671Flow Speed (m/s)4.8Re (daN/mm)40Nb of bolts81.25Height (m)3.7Young modulus (daN/mm)20000shear force (daN)14.71.5339807879Resultspoisson coef0.35cover16.671221.7Qv (m3/s)5.9transverse modulus (daN/mm)7407drilling F (mm)5004.87.5088241423Mech Power (kw)214tau (daN/mm)7.7Nb of bolts80.78447518730.98059398410.4902969921net power (kW)128Torque N.m4186shear force (daN)26.2Elec Power (kW)109Speed (rpm)487.5Diameter (mm)/strain134Spec speed (rps)1.05Diameter (mm) long shaft126Multiplicator ratio0.77Free falll calculationImpeller determinationCement weightdwg TBS 002dv (m/s)36.3Radius impeller600Itemw (kg)V finale (m/s)9.8angle helix701+215300dh fourni (j/kg)36.3height impeller125033825dh total (kJ)214perimeter377044700pitch1035853825outlet under waterangle impeller covered41.7total weight (kg)27650outlet pressure0.358length 1277.0inlet channel12125dp due to height0.358axe diameter (mm)219.1outlet channel240500.000number of blades5total weight (kg)36175thickness (mm)3Speed triangles39.27width (mm)490.5turbinedwg TBS 001area (m)0.63Itemw (kg)weight (kg)14.7A392.5B37D34.07tube DN 20065.03RU (m/s)Va (m/s)alfablades (qty=5) total50.080.1104.304.8209.8Bolts/nuts (+10%)57.8680.25810.124.8209.8total weight (kg)6370.62524.544.8209.8
turbine 500 kwTurbine 500 kWShaft calculationro (kg/m3)1000shaft length (mm)2600flanges0.58inlet Dia (m)2.25Max torsion angle (/m)0.05drilling F (mm)2800.12Flow Speed (m/s)4.8Re (daN/mm)40Nb of bolts81.70Height (m)6Young modulus (daN/mm)20000shear force (daN)176.5Resultspoisson coef0.35coverQv (m3/s)19.1transverse modulus (daN/mm)7407drilling F (mm)500Mech Power (kw)1123tau (daN/mm)7.7Nb of bolts8net power (kW)674Torque N.m50415shear force (daN)315.1Elec Power (kW)505Speed (rpm)213Diameter (mm)/strain305Spec speed (rps)1.05Diameter (mm) long shaft235Multiplicator ratio1.76Free falll calculationdv (m/s)59V finale (m/s)12dh fourni (j/kg)59dh total (kJ)1123
velocity (rpm)37540Va3.68Radius (m)U (m/s)Vu1U-VUw1alfadh/Uw2beta0.1756.93.093.84.845.08.65.664.60.38815.23.0912.14.845.03.95.266.41.12544.23.0941.14.845.01.34.967.4
Radius impeller1250angle helix50height impeller450perimeter7854pitch9360angle impeller covered34.6length 1174.9axe diameter (mm)360number of blades5thickness (mm)5width (mm)1070.0area (m)1.26weight (kg)49.3
Feuil2channel speed1.44speed needed5section ratio0.288height turbine2.5diametre1.45turbine section3.625channel width5.0347222222
horizontal 500 kwHorizontal turbine 500 kW06/29/2016
initial flow speed (m/s)2number of units 5Construction datainlet speed (m/s)4.4mech. power/unit (kW)225rectangular sectionElec Power (kW)500Elec. Power/unit (kW)100width (m)2Betz limit0.593inlet section (m)5.3Height (m)2.6efficiency0.75Venturi section (m)11.6total length (m)23.8Mech Power (k)1124inlet diameter (m)2.6Venturi dimensionsinlet section (m)26.4venturi diameter (m)3.8angle venturi ()30venturi section (m)40.1Mass flow (kg/s)23227.8325180364Height (m)2.60.44Max width (m)4.4Sections ratio2.200.6633249581length (m)4.5diameter ratio1.52.5507667236Installation length (m)28.2venturi diameter (m)7.1Inlet diameter (m)5.80Mass flow (kg/s)116139.162590182
Intern diameter (m)1.5Ext diameter (m)5.99Savonius turbinesynchronus generatorheight (m)2.5400 V - 50Hz-100 kWdiameter (m)1.5With frequency variatorBetz coef0.593density (k/m3)1000Section (m)3.75Rotation Speed (rpm)112Power (kw)95Torque m.daN807.2Generator speed (rpm)375Mult. Ratio3.35Elec. Power (kw)71.0pressure/blades (dan/m)968
global calculationsHorizontal Axial TurbineGeneral Input dataImpeller datasfall height (m)0Total Twist angle ()180design flow rate (m3/s)28expansion angle ()43flow speed (m/s)1.8nb of distributor blades9El power (kW)1000nb of impeller blades8N (rpm)100Iopt impeller ()2.5Inner casing dia (mm)900depth turbine under surface (m)3initial Static pressure (Pa)130740
thermodynamic resultsOverhaulgenerator speedmultiplicator ratiodH (kJ/kg)56.0Rotation speed (rpm)1003503.50total dH (kJ)1569eff Mechanical power (kW)13335005.00inlet speed (m/s)10.7Torque (daN.m)127327507.50initial total pressure (Pa)1.3E+05final total pressure (Pa)1.9E+05Total dp (Pa)5.8E+04outlet turbine dp (Pa)5.6E+04final static pressure (Pa)1.1E+05final static pressure (atm)1.1dH turbine (kJ/kg)56.0total dH turbine (kJ)1569Isentropic Efficiency (%)100polytropic efficiency (%)85Estimate max El. Power (kW)1067Cavitation factor1.14no cavitationInlet dimensionssection (m)15.6duct diameter (m)4.5inlet turbine section (m)2.61Vax inlet turbine (m/s)10.74inlet ext diameter (m)2.09Outlet dimensionsaperture angle ()43impeller axial length (m)3.37Outlet diameter (m)4.6outlet Vax (m/s)1.8
blades definitionImpeller definitionnb blades8e (mm)10twist angle ()180twist pitch (m)6.75inlet dia (m)2.09outlet dia (m)4.56length (m)3.37iopt 2.5inlet Impellerdist. block (m)0.053Mean R (m)0.747block (m)0.047real sect (m)2.728Um (m/s)7.82real sect (m)2.734Vax (m/s)10.26alfa ()34.8Vax (m/s)10.24R (m)alfa ()U (m/s)pitch (m)Vax (m/s)dp (Pa)Cav0.45022.74.710.35310.56557761.300.74734.87.820.58610.44545081.351.04344.210.920.81910.39539751.38
Outlet turbineblock0.15real sect15.55Vax (m/s)1.80
distributor sectionsdepth (m)3Pressure (Pa)13074020.000200.94gap (mm)2Nb blades9e (mm)10I opt impeller2.5R (m)real secttotal sectspeed ratioVax (m/s)U (m/s)alfa ()deviationdp (Pa)coef cav0.452.742.831.0311.094.7123.0225.52614951.0850.7474.604.691.0210.957.8235.5338.03599201.1400.9786.066.151.0110.9010.2443.2345.73593681.1601.0436.466.551.0110.8910.9245.0947.59592591.164R (m)g %chordchorde (%c)camber ()st angle ()ioptpitch (m)sigmathk0.459.28173.85.7521.012.7620.3140.007-0.0010.74714.87281.73.5533.119.022.40.5210.012-0.0120.97819.66366.12.7342.922.870.30.6830.0020.0061.04320.6130.033.3344.823.800.30.7280.0020.006
turbine blade developpmentinternal diameter (m)0.9Xa (m)Radius (m)alfa ()Ld (m)Ld1 (m)xo (m)x1 (m)x2 (m)external radius (m)2.0900.4522.73.663.6600.003.66Inlet impelleroutlet Diameter (m)4.600.74734.84.114.11-0.23-0.233.88leading edgeimpeller length (m)3.3701.04344.24.704.70-0.56-0.564.14twist angle ()1800.1691.10545.84.844.60-0.64-0.404.20calculation pitch (m)0.170.3371.16747.44.984.48-0.73-0.234.25impeller pitch (m)6.750.5061.22948.85.134.36-0.82-0.054.31expansion angle ()400.6751.29050.25.274.22-0.910.144.360.8441.35251.55.434.07-1.010.354.421.0121.41452.85.583.91-1.110.564.471.1811.47654.05.733.73-1.210.794.521.3501.53855.15.893.54-1.321.044.571.5191.60056.16.053.33-1.431.294.621.6871.66157.16.223.11-1.551.564.671.8561.72358.16.382.87-1.671.844.712.0251.78559.06.552.62-1.792.144.762.1941.84759.86.712.35-1.912.454.802.3621.90960.66.882.06-2.042.774.842.5311.97161.47.051.76-2.173.124.882.7002.03362.17.221.44-2.313.474.922.8692.09462.87.391.11-2.443.844.953.372.28064.87.920.00-2.875.055.05trailing edge
0.450xa0.453.660.5011.5
Xa (m)0.963R1 (m)1.043R2 (m)1.396section1sections length0.963r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.661.040.000.001.040.74734.84.111.17-0.23-0.230.941.04344.24.701.34-0.56-0.560.781.06544.84.751.36-0.59-0.590.771.08745.34.801.37-0.62-0.620.751.11045.94.851.38-0.65-0.650.741.13246.54.901.40-0.68-0.680.721.39652.45.531.58-1.08-1.080.50
Xa (m)1.926R1 (m)1.396R2 (m)1.749section2r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.662.090.001.042.090.74734.84.112.35-0.230.942.111.04344.24.702.68-0.560.782.121.08745.34.802.74-0.620.772.121.13246.54.902.80-0.680.752.121.17647.65.002.86-0.740.742.111.22048.65.112.91-0.810.722.111.74958.46.453.68-1.720.501.96
Xa (m)2.889R1 (m)1.749R2 (m)2.102section3r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.663.130.002.093.130.74734.84.113.52-0.232.113.291.04344.24.704.03-0.562.123.461.11446.04.864.16-0.652.123.511.18547.85.024.30-0.752.123.551.25649.55.194.44-0.862.113.591.32751.05.364.59-0.972.113.622.10262.97.426.35-2.461.963.89
Blade's developped formRadius (m)Section 1
general calc0.750.05Um (m/s)7.82deviat nom.()35.53Qv (mFlow Vax (m/s)neck speeddist Vax (m/s)rotor vax (m/s)outlet Vax (m/s)deviation ()st variation ()0.75211.358.057.707.681.3545.510.00.822.41.448.598.218.191.4443.78.10.8523.81.539.138.728.701.5341.96.40.925.21.629.669.249.221.6240.34.80.9526.61.7110.209.759.731.7138.83.31281.810.7410.2610.241.8037.41.81.0529.41.8911.2710.7810.751.8936.00.51.130.81.9811.8111.2911.261.9834.81.1532.22.0712.3511.8011.782.0733.61.233.62.1612.8812.3212.292.1632.51.25352.2513.4212.8312.802.2531.4Qv (m3/s)Pinit (Pa)Neck P (Pa)Dist P (Pa)rotor P (Pa)Outlet P (Pa)21.00129828.898316.2101116.1101244.4129827.822.40129703.293848.997034.597180.6129702.123.80129569.689093.492689.792854.6129568.325.20129427.884049.788081.588266.4129426.426.60129278.078717.883210.083416.0129276.428.00129120.073097.678075.278303.4129118.229.40128954.067189.372677.172928.7128952.030.80128779.860992.767015.667291.7128777.732.20128597.654508.061090.861392.6128595.233.60128407.247735.054902.755231.3128404.735.00128208.840673.848451.248807.8128206.0ERROR:#DIV/0!0.0000.00807570350.00Cavitation coefficientMin cav. Coef2.87096172521.2501.26156626121.00139.73.03.33.3139.63.00.87078834180.00003428010.006606568422.40122.72.52.82.8122.62.50.30728722780.666813284339676.938447664223.80108.62.12.42.4108.42.18.135710742325.2096.71.72.02.096.61.726.6086.71.51.71.786.61.528.0078.21.21.41.478.11.210.7370767869ERROR:#REF!ERROR:#REF!29.4070.81.01.21.270.71.056.02240896361568.6274509804ERROR:#REF!30.8064.40.81.01.064.30.82.60778613731568.627450980432.2058.90.70.80.858.80.72.0323229158100033.6054.00.50.70.753.90.535.71428571438.257637157757642.408963585435.0049.70.40.60.649.60.443682.5910364146dH inlet (kJ)dH dist (kJ)static dH (kJ)dH turbine (kJ)dH total (kJ)-661.7658.80-602.97600.25-2.72-803.1471.36-731.78728.48-3.30-963.3385.59-877.74873.79-3.96-1143.53101.60-1041.931037.23-4.69-1344.90119.49-1225.411219.89-5.52-1568.63139.37-1429.261422.82-6.44-1815.88161.34-1654.541647.09-7.46-2087.84185.50-1902.34-2385.69211.97-2173.72-2710.59240.84-2469.75-3063.73272.21-2791.51
losses calculations
global calculationsHorizontal Axial TurbineGeneral Input dataImpeller datasfall height (m)0Total Twist angle ()180design flow rate (m3/s)28expansion angle ()43flow speed (m/s)1.8nb of distributor blades9El power (kW)1000nb of impeller blades8N (rpm)100Iopt impeller ()2.5Inner casing dia (mm)900depth turbine under surface (m)3initial Static pressure (Pa)130740
thermodynamic resultsOverhaulgenerator speedmultiplicator ratiodH (kJ/kg)56.0Rotation speed (rpm)1003503.50total dH (kJ)1569eff Mechanical power (kW)13335005.00inlet speed (m/s)10.7Torque (daN.m)127327507.50initial total pressure (Pa)1.3E+05final total pressure (Pa)1.9E+05Total dp (Pa)5.8E+04outlet turbine dp (Pa)5.6E+04final static pressure (Pa)1.1E+05final static pressure (atm)1.1dH turbine (kJ/kg)56.0total dH turbine (kJ)1569Isentropic Efficiency (%)100polytropic efficiency (%)85Estimate max El. Power (kW)1067Cavitation factor1.14no cavitationInlet dimensionssection (m)15.6duct diameter (m)4.5inlet turbine section (m)2.61Vax inlet turbine (m/s)10.74inlet ext diameter (m)2.09Outlet dimensionsaperture angle ()43impeller axial length (m)3.37Outlet diameter (m)4.6outlet Vax (m/s)1.8
blades definitionImpeller definitionnb blades8e (mm)10twist angle ()180twist pitch (m)6.75inlet dia (m)2.09outlet dia (m)4.56length (m)3.37iopt 2.5inlet Impellerdist. block (m)0.053Mean R (m)0.747block (m)0.047real sect (m)2.728Um (m/s)7.82real sect (m)2.734Vax (m/s)10.26alfa ()34.8Vax (m/s)10.24R (m)alfa ()U (m/s)pitch (m)Vax (m/s)dp (Pa)Cav0.45022.74.710.35310.56557761.300.74734.87.820.58610.44545081.351.04344.210.920.81910.39539751.38
Outlet turbineblock0.15real sect15.55Vax (m/s)1.80
distributor sectionsdepth (m)3Pressure (Pa)13074020.000200.94gap (mm)2Nb blades9e (mm)10I opt impeller2.5R (m)real secttotal sectspeed ratioVax (m/s)U (m/s)alfa ()deviationdp (Pa)coef cav0.452.742.831.0311.094.7123.0225.52614951.0850.7474.604.691.0210.957.8235.5338.03599201.1400.9786.066.151.0110.9010.2443.2345.73593681.1601.0436.466.551.0110.8910.9245.0947.59592591.164R (m)g %chordchorde (%c)camber ()st angle ()ioptpitch (m)sigmathk0.459.28173.85.7521.012.7620.3140.007-0.0010.74714.87281.73.5533.119.022.40.5210.012-0.0120.97819.66366.12.7342.922.870.30.6830.0020.0061.04320.6130.033.3344.823.800.30.7280.0020.006
turbine blade developpmentinternal diameter (m)0.9Xa (m)Radius (m)alfa ()Ld (m)Ld1 (m)xo (m)x1 (m)x2 (m)external radius (m)2.0900.4522.73.663.6600.003.66Inlet impelleroutlet Diameter (m)4.600.74734.84.114.11-0.23-0.233.88leading edgeimpeller length (m)3.3701.04344.24.704.70-0.56-0.564.14twist angle ()1800.1691.10545.84.844.60-0.64-0.404.20calculation pitch (m)0.170.3371.16747.44.984.48-0.73-0.234.25impeller pitch (m)6.750.5061.22948.85.134.36-0.82-0.054.31expansion angle ()400.6751.29050.25.274.22-0.910.144.360.8441.35251.55.434.07-1.010.354.421.0121.41452.85.583.91-1.110.564.471.1811.47654.05.733.73-1.210.794.521.3501.53855.15.893.54-1.321.044.571.5191.60056.16.053.33-1.431.294.621.6871.66157.16.223.11-1.551.564.671.8561.72358.16.382.87-1.671.844.712.0251.78559.06.552.62-1.792.144.762.1941.84759.86.712.35-1.912.454.802.3621.90960.66.882.06-2.042.774.842.5311.97161.47.051.76-2.173.124.882.7002.03362.17.221.44-2.313.474.922.8692.09462.87.391.11-2.443.844.953.372.28064.87.920.00-2.875.055.05trailing edge
0.450xa0.453.660.5011.5
Xa (m)0.963R1 (m)1.043R2 (m)1.396section1sections length0.963r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.661.040.000.001.040.74734.84.111.17-0.23-0.230.941.04344.24.701.34-0.56-0.560.781.06544.84.751.36-0.59-0.590.771.08745.34.801.37-0.62-0.620.751.11045.94.851.38-0.65-0.650.741.13246.54.901.40-0.68-0.680.721.39652.45.531.58-1.08-1.080.50
Xa (m)1.926R1 (m)1.396R2 (m)1.749section2r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.662.090.001.042.090.74734.84.112.35-0.230.942.111.04344.24.702.68-0.560.782.121.08745.34.802.74-0.620.772.121.13246.54.902.80-0.680.752.121.17647.65.002.86-0.740.742.111.22048.65.112.91-0.810.722.111.74958.46.453.68-1.720.501.96
Xa (m)2.889R1 (m)1.749R2 (m)2.102section3r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.663.130.002.093.130.74734.84.113.52-0.232.113.291.04344.24.704.03-0.562.123.461.11446.04.864.16-0.652.123.511.18547.85.024.30-0.752.123.551.25649.55.194.44-0.862.113.591.32751.05.364.59-0.972.113.622.10262.97.426.35-2.461.963.89
Blade's developped formRadius (m)Section 1
general calc0.750.05Um (m/s)7.82deviat nom.()35.53Qv (mFlow Vax (m/s)neck speeddist Vax (m/s)rotor vax (m/s)outlet Vax (m/s)deviation ()st variation ()0.75211.358.057.707.681.3545.510.00.822.41.448.598.218.191.4443.78.10.8523.81.539.138.728.701.5341.96.40.925.21.629.669.249.221.6240.34.80.9526.61.7110.209.759.731.7138.83.31281.810.7410.2610.241.8037.41.81.0529.41.8911.2710.7810.751.8936.00.51.130.81.9811.8111.2911.261.9834.81.1532.22.0712.3511.8011.782.0733.61.233.62.1612.8812.3212.292.1632.51.25352.2513.4212.8312.802.2531.4Qv (m3/s)Pinit (Pa)Neck P (Pa)Dist P (Pa)rotor P (Pa)Outlet P (Pa)21.00129828.898316.2101116.1101244.4129827.822.40129703.293848.997034.597180.6129702.123.80129569.689093.492689.792854.6129568.325.20129427.884049.788081.588266.4129426.426.60129278.078717.883210.083416.0129276.428.00129120.073097.678075.278303.4129118.229.40128954.067189.372677.172928.7128952.030.80128779.860992.767015.667291.7128777.732.20128597.654508.061090.861392.6128595.233.60128407.247735.054902.755231.3128404.735.00128208.840673.848451.248807.8128206.0ERROR:#DIV/0!0.0000.00807570350.00Cavitation coefficientMin cav. Coef2.87096172521.2501.26156626121.00139.73.03.33.3139.63.00.87078834180.00003428010.006606568422.40122.72.52.82.8122.62.50.30728722780.666813284339676.938447664223.80108.62.12.42.4108.42.18.135710742325.2096.71.72.02.096.61.726.6086.71.51.71.786.61.528.0078.21.21.41.478.11.210.7370767869ERROR:#REF!ERROR:#REF!29.4070.81.01.21.270.71.056.02240896361568.6274509804ERROR:#REF!30.8064.40.81.01.064.30.82.60778613731568.627450980432.2058.90.70.80.858.80.72.0323229158100033.6054.00.50.70.753.90.535.71428571438.257637157757642.408963585435.0049.70.40.60.649.60.443682.5910364146dH inlet (kJ)dH dist (kJ)static dH (kJ)dH turbine (kJ)dH total (kJ)-661.7658.80-602.97600.25-2.72-803.1471.36-731.78728.48-3.30-963.3385.59-877.74873.79-3.96-1143.53101.60-1041.931037.23-4.69-1344.90119.49-1225.411219.89-5.52-1568.63139.37-1429.261422.82-6.44-1815.88161.34-1654.541647.09-7.46-2087.84185.50-1902.34-2385.69211.97-2173.72-2710.59240.84-2469.75-3063.73272.21-2791.51
losses calculations
global calculationsHorizontal Axial TurbineGeneral Input dataImpeller datasfall height (m)0Total Twist angle ()180design flow rate (m3/s)28expansion angle ()43flow speed (m/s)1.8nb of distributor blades9El power (kW)1000nb of impeller blades8N (rpm)100Iopt impeller ()2.5Inner casing dia (mm)900depth turbine under surface (m)3initial Static pressure (Pa)130740
thermodynamic resultsOverhaulgenerator speedmultiplicator ratiodH (kJ/kg)56.0Rotation speed (rpm)1003503.50total dH (kJ)1569eff Mechanical power (kW)13335005.00inlet speed (m/s)10.7Torque (daN.m)127327507.50initial total pressure (Pa)1.3E+05final total pressure (Pa)1.9E+05Total dp (Pa)5.8E+04outlet turbine dp (Pa)5.6E+04final static pressure (Pa)1.1E+05final static pressure (atm)1.1dH turbine (kJ/kg)56.0total dH turbine (kJ)1569Isentropic Efficiency (%)100polytropic efficiency (%)85Estimate max El. Power (kW)1067Cavitation factor1.14no cavitationInlet dimensionssection (m)15.6duct diameter (m)4.5inlet turbine section (m)2.61Vax inlet turbine (m/s)10.74inlet ext diameter (m)2.09Outlet dimensionsaperture angle ()43impeller axial length (m)3.37Outlet diameter (m)4.6outlet Vax (m/s)1.8
blades definitionImpeller definitionnb blades8e (mm)10twist angle ()180twist pitch (m)6.75inlet dia (m)2.09outlet dia (m)4.56length (m)3.37iopt 2.5inlet Impellerdist. block (m)0.053Mean R (m)0.747block (m)0.047real sect (m)2.728Um (m/s)7.82real sect (m)2.734Vax (m/s)10.26alfa ()34.8Vax (m/s)10.24R (m)alfa ()U (m/s)pitch (m)Vax (m/s)dp (Pa)Cav0.45022.74.710.35310.56557761.300.74734.87.820.58610.44545081.351.04344.210.920.81910.39539751.38
Outlet turbineblock0.15real sect15.55Vax (m/s)1.80
distributor sectionsdepth (m)3Pressure (Pa)13074020.000200.94gap (mm)2Nb blades9e (mm)10I opt impeller2.5R (m)real secttotal sectspeed ratioVax (m/s)U (m/s)alfa ()deviationdp (Pa)coef cav0.452.742.831.0311.094.7123.0225.52614951.0850.7474.604.691.0210.957.8235.5338.03599201.1400.9786.066.151.0110.9010.2443.2345.73593681.1601.0436.466.551.0110.8910.9245.0947.59592591.164R (m)g %chordchorde (%c)camber ()st angle ()ioptpitch (m)sigmathk0.459.28173.85.7521.012.7620.3140.007-0.0010.74714.87281.73.5533.119.022.40.5210.012-0.0120.97819.66366.12.7342.922.870.30.6830.0020.0061.04320.6130.033.3344.823.800.30.7280.0020.006
turbine blade developpmentinternal diameter (m)0.9Xa (m)Radius (m)alfa ()Ld (m)Ld1 (m)xo (m)x1 (m)x2 (m)external radius (m)2.0900.4522.73.663.6600.003.66Inlet impelleroutlet Diameter (m)4.600.74734.84.114.11-0.23-0.233.88leading edgeimpeller length (m)3.3701.04344.24.704.70-0.56-0.564.14twist angle ()1800.1691.10545.84.844.60-0.64-0.404.20calculation pitch (m)0.170.3371.16747.44.984.48-0.73-0.234.25impeller pitch (m)6.750.5061.22948.85.134.36-0.82-0.054.31expansion angle ()400.6751.29050.25.274.22-0.910.144.360.8441.35251.55.434.07-1.010.354.421.0121.41452.85.583.91-1.110.564.471.1811.47654.05.733.73-1.210.794.521.3501.53855.15.893.54-1.321.044.571.5191.60056.16.053.33-1.431.294.621.6871.66157.16.223.11-1.551.564.671.8561.72358.16.382.87-1.671.844.712.0251.78559.06.552.62-1.792.144.762.1941.84759.86.712.35-1.912.454.802.3621.90960.66.882.06-2.042.774.842.5311.97161.47.051.76-2.173.124.882.7002.03362.17.221.44-2.313.474.922.8692.09462.87.391.11-2.443.844.953.372.28064.87.920.00-2.875.055.05trailing edge
0.450xa0.453.660.5011.5
Xa (m)0.963R1 (m)1.043R2 (m)1.396section1sections length0.963r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.661.040.000.001.040.74734.84.111.17-0.23-0.230.941.04344.24.701.34-0.56-0.560.781.06544.84.751.36-0.59-0.590.771.08745.34.801.37-0.62-0.620.751.11045.94.851.38-0.65-0.650.741.13246.54.901.40-0.68-0.680.721.39652.45.531.58-1.08-1.080.50
Xa (m)1.926R1 (m)1.396R2 (m)1.749section2r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.662.090.001.042.090.74734.84.112.35-0.230.942.111.04344.24.702.68-0.560.782.121.08745.34.802.74-0.620.772.121.13246.54.902.80-0.680.752.121.17647.65.002.86-0.740.742.111.22048.65.112.91-0.810.722.111.74958.46.453.68-1.720.501.96
Xa (m)2.889R1 (m)1.749R2 (m)2.102section3r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.663.130.002.093.130.74734.84.113.52-0.232.113.291.04344.24.704.03-0.562.123.461.11446.04.864.16-0.652.123.511.18547.85.024.30-0.752.123.551.25649.55.194.44-0.862.113.591.32751.05.364.59-0.972.113.622.10262.97.426.35-2.461.963.89
Blade's developped formRadius (m)Section 1
general calc0.750.05Um (m/s)7.82deviat nom.()35.53Qv (mFlow Vax (m/s)neck speeddist Vax (m/s)rotor vax (m/s)outlet Vax (m/s)deviation ()st variation ()0.75211.358.057.707.681.3545.510.00.822.41.448.598.218.191.4443.78.10.8523.81.539.138.728.701.5341.96.40.925.21.629.669.249.221.6240.34.80.9526.61.7110.209.759.731.7138.83.31281.810.7410.2610.241.8037.41.81.0529.41.8911.2710.7810.751.8936.00.51.130.81.9811.8111.2911.261.9834.81.1532.22.0712.3511.8011.782.0733.61.233.62.1612.8812.3212.292.1632.51.25352.2513.4212.8312.802.2531.4Qv (m3/s)Pinit (Pa)Neck P (Pa)Dist P (Pa)rotor P (Pa)Outlet P (Pa)21.00129828.898316.2101116.1101244.4129827.822.40129703.293848.997034.597180.6129702.123.80129569.689093.492689.792854.6129568.325.20129427.884049.788081.588266.4129426.426.60129278.078717.883210.083416.0129276.428.00129120.073097.678075.278303.4129118.229.40128954.067189.372677.172928.7128952.030.80128779.860992.767015.667291.7128777.732.20128597.654508.061090.861392.6128595.233.60128407.247735.054902.755231.3128404.735.00128208.840673.848451.248807.8128206.0ERROR:#DIV/0!0.0000.00807570350.00Cavitation coefficientMin cav. Coef2.87096172521.2501.26156626121.00139.73.03.33.3139.63.00.87078834180.00003428010.006606568422.40122.72.52.82.8122.62.50.30728722780.666813284339676.938447664223.80108.62.12.42.4108.42.18.135710742325.2096.71.72.02.096.61.726.6086.71.51.71.786.61.528.0078.21.21.41.478.11.210.7370767869ERROR:#REF!ERROR:#REF!29.4070.81.01.21.270.71.056.02240896361568.6274509804ERROR:#REF!30.8064.40.81.01.064.30.82.60778613731568.627450980432.2058.90.70.80.858.80.72.0323229158100033.6054.00.50.70.753.90.535.71428571438.257637157757642.408963585435.0049.70.40.60.649.60.443682.5910364146dH inlet (kJ)dH dist (kJ)static dH (kJ)dH turbine (kJ)dH total (kJ)-661.7658.80-602.97600.25-2.72-803.1471.36-731.78728.48-3.30-963.3385.59-877.74873.79-3.96-1143.53101.60-1041.931037.23-4.69-1344.90119.49-1225.411219.89-5.52-1568.63139.37-1429.261422.82-6.44-1815.88161.34-1654.541647.09-7.46-2087.84185.50-1902.34-2385.69211.97-2173.72-2710.59240.84-2469.75-3063.73272.21-2791.51
losses calculations
global calculationsHorizontal Axial TurbineGeneral Input dataImpeller datasfall height (m)0Total Twist angle ()180design flow rate (m3/s)28expansion angle ()43flow speed (m/s)1.8nb of distributor blades9El power (kW)1000nb of impeller blades8N (rpm)100Iopt impeller ()2.5Inner casing dia (mm)900depth turbine under surface (m)3initial Static pressure (Pa)130740
thermodynamic resultsOverhaulgenerator speedmultiplicator ratiodH (kJ/kg)56.0Rotation speed (rpm)1003503.50total dH (kJ)1569eff Mechanical power (kW)13335005.00inlet speed (m/s)10.7Torque (daN.m)127327507.50initial total pressure (Pa)1.3E+05final total pressure (Pa)1.9E+05Total dp (Pa)5.8E+04outlet turbine dp (Pa)5.6E+04final static pressure (Pa)1.1E+05final static pressure (atm)1.1dH turbine (kJ/kg)56.0total dH turbine (kJ)1569Isentropic Efficiency (%)100polytropic efficiency (%)85Estimate max El. Power (kW)1067Cavitation factor1.14no cavitationInlet dimensionssection (m)15.6duct diameter (m)4.5inlet turbine section (m)2.61Vax inlet turbine (m/s)10.74inlet ext diameter (m)2.09Outlet dimensionsaperture angle ()43impeller axial length (m)3.37Outlet diameter (m)4.6outlet Vax (m/s)1.8
blades definitionImpeller definitionnb blades8e (mm)10twist angle ()180twist pitch (m)6.75inlet dia (m)2.09outlet dia (m)4.56length (m)3.37iopt 2.5inlet Impellerdist. block (m)0.053Mean R (m)0.747block (m)0.047real sect (m)2.728Um (m/s)7.82real sect (m)2.734Vax (m/s)10.26alfa ()34.8Vax (m/s)10.24R (m)alfa ()U (m/s)pitch (m)Vax (m/s)dp (Pa)Cav0.45022.74.710.35310.56557761.300.74734.87.820.58610.44545081.351.04344.210.920.81910.39539751.38
Outlet turbineblock0.15real sect15.55Vax (m/s)1.80
distributor sectionsdepth (m)3Pressure (Pa)13074020.000200.94gap (mm)2Nb blades9e (mm)10I opt impeller2.5R (m)real secttotal sectspeed ratioVax (m/s)U (m/s)alfa ()deviationdp (Pa)coef cav0.452.742.831.0311.094.7123.0225.52614951.0850.7474.604.691.0210.957.8235.5338.03599201.1400.9786.066.151.0110.9010.2443.2345.73593681.1601.0436.466.551.0110.8910.9245.0947.59592591.164R (m)g %chordchorde (%c)camber ()st angle ()ioptpitch (m)sigmathk0.459.28173.85.7521.012.7620.3140.007-0.0010.74714.87281.73.5533.119.022.40.5210.012-0.0120.97819.66366.12.7342.922.870.30.6830.0020.0061.04320.6130.033.3344.823.800.30.7280.0020.006
turbine blade developpmentinternal diameter (m)0.9Xa (m)Radius (m)alfa ()Ld (m)Ld1 (m)xo (m)x1 (m)x2 (m)external radius (m)2.0900.4522.73.663.6600.003.66Inlet impelleroutlet Diameter (m)4.600.74734.84.114.11-0.23-0.233.88leading edgeimpeller length (m)3.3701.04344.24.704.70-0.56-0.564.14twist angle ()1800.1691.10545.84.844.60-0.64-0.404.20calculation pitch (m)0.170.3371.16747.44.984.48-0.73-0.234.25impeller pitch (m)6.750.5061.22948.85.134.36-0.82-0.054.31expansion angle ()400.6751.29050.25.274.22-0.910.144.360.8441.35251.55.434.07-1.010.354.421.0121.41452.85.583.91-1.110.564.471.1811.47654.05.733.73-1.210.794.521.3501.53855.15.893.54-1.321.044.571.5191.60056.16.053.33-1.431.294.621.6871.66157.16.223.11-1.551.564.671.8561.72358.16.382.87-1.671.844.712.0251.78559.06.552.62-1.792.144.762.1941.84759.86.712.35-1.912.454.802.3621.90960.66.882.06-2.042.774.842.5311.97161.47.051.76-2.173.124.882.7002.03362.17.221.44-2.313.474.922.8692.09462.87.391.11-2.443.844.953.372.28064.87.920.00-2.875.055.05trailing edge
0.450xa0.453.660.5011.5
Xa (m)0.963R1 (m)1.043R2 (m)1.396section1sections length0.963r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.661.040.000.001.040.74734.84.111.17-0.23-0.230.941.04344.24.701.34-0.56-0.560.781.06544.84.751.36-0.59-0.590.771.08745.34.801.37-0.62-0.620.751.11045.94.851.38-0.65-0.650.741.13246.54.901.40-0.68-0.680.721.39652.45.531.58-1.08-1.080.50
Xa (m)1.926R1 (m)1.396R2 (m)1.749section2r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.662.090.001.042.090.74734.84.112.35-0.230.942.111.04344.24.702.68-0.560.782.121.08745.34.802.74-0.620.772.121.13246.54.902.80-0.680.752.121.17647.65.002.86-0.740.742.111.22048.65.112.91-0.810.722.111.74958.46.453.68-1.720.501.96
Xa (m)2.889R1 (m)1.749R2 (m)2.102section3r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.663.130.002.093.130.74734.84.113.52-0.232.113.291.04344.24.704.03-0.562.123.461.11446.04.864.16-0.652.123.511.18547.85.024.30-0.752.123.551.25649.55.194.44-0.862.113.591.32751.05.364.59-0.972.113.622.10262.97.426.35-2.461.963.89
Blade's developped formRadius (m)Section 1
general calc0.750.05Um (m/s)7.82deviat nom.()35.53Qv (mFlow Vax (m/s)neck speeddist Vax (m/s)rotor vax (m/s)outlet Vax (m/s)deviation ()st variation ()0.75211.358.057.707.681.3545.510.00.822.41.448.598.218.191.4443.78.10.8523.81.539.138.728.701.5341.96.40.925.21.629.669.249.221.6240.34.80.9526.61.7110.209.759.731.7138.83.31281.810.7410.2610.241.8037.41.81.0529.41.8911.2710.7810.751.8936.00.51.130.81.9811.8111.2911.261.9834.81.1532.22.0712.3511.8011.782.0733.61.233.62.1612.8812.3212.292.1632.51.25352.2513.4212.8312.802.2531.4Qv (m3/s)Pinit (Pa)Neck P (Pa)Dist P (Pa)rotor P (Pa)Outlet P (Pa)21.00129828.898316.2101116.1101244.4129827.822.40129703.293848.997034.597180.6129702.123.80129569.689093.492689.792854.6129568.325.20129427.884049.788081.588266.4129426.426.60129278.078717.883210.083416.0129276.428.00129120.073097.678075.278303.4129118.229.40128954.067189.372677.172928.7128952.030.80128779.860992.767015.667291.7128777.732.20128597.654508.061090.861392.6128595.233.60128407.247735.054902.755231.3128404.735.00128208.840673.848451.248807.8128206.0ERROR:#DIV/0!0.0000.00807570350.00Cavitation coefficientMin cav. Coef2.87096172521.2501.26156626121.00139.73.03.33.3139.63.00.87078834180.00003428010.006606568422.40122.72.52.82.8122.62.50.30728722780.666813284339676.938447664223.80108.62.12.42.4108.42.18.135710742325.2096.71.72.02.096.61.726.6086.71.51.71.786.61.528.0078.21.21.41.478.11.210.7370767869ERROR:#REF!ERROR:#REF!29.4070.81.01.21.270.71.056.02240896361568.6274509804ERROR:#REF!30.8064.40.81.01.064.30.82.60778613731568.627450980432.2058.90.70.80.858.80.72.0323229158100033.6054.00.50.70.753.90.535.71428571438.257637157757642.408963585435.0049.70.40.60.649.60.443682.5910364146dH inlet (kJ)dH dist (kJ)static dH (kJ)dH turbine (kJ)dH total (kJ)-661.7658.80-602.97600.25-2.72-803.1471.36-731.78728.48-3.30-963.3385.59-877.74873.79-3.96-1143.53101.60-1041.931037.23-4.69-1344.90119.49-1225.411219.89-5.52-1568.63139.37-1429.261422.82-6.44-1815.88161.34-1654.541647.09-7.46-2087.84185.50-1902.34-2385.69211.97-2173.72-2710.59240.84-2469.75-3063.73272.21-2791.51
losses calculations
global calculationsHorizontal Axial TurbineGeneral Input dataImpeller datasfall height (m)0Total Twist angle ()180design flow rate (m3/s)28expansion angle ()43flow speed (m/s)1.8nb of distributor blades9El power (kW)1000nb of impeller blades8N (rpm)100Iopt impeller ()2.5Inner casing dia (mm)900depth turbine under surface (m)3initial Static pressure (Pa)130740
thermodynamic resultsOverhaulgenerator speedmultiplicator ratiodH (kJ/kg)56.0Rotation speed (rpm)1003503.50total dH (kJ)1569eff Mechanical power (kW)13335005.00inlet speed (m/s)10.7Torque (daN.m)127327507.50initial total pressure (Pa)1.3E+05final total pressure (Pa)1.9E+05Total dp (Pa)5.8E+04outlet turbine dp (Pa)5.6E+04final static pressure (Pa)1.1E+05final static pressure (atm)1.1dH turbine (kJ/kg)56.0total dH turbine (kJ)1569Isentropic Efficiency (%)100polytropic efficiency (%)85Estimate max El. Power (kW)1067Cavitation factor1.14no cavitationInlet dimensionssection (m)15.6duct diameter (m)4.5inlet turbine section (m)2.61Vax inlet turbine (m/s)10.74inlet ext diameter (m)2.09Outlet dimensionsaperture angle ()43impeller axial length (m)3.37Outlet diameter (m)4.6outlet Vax (m/s)1.8
blades definitionImpeller definitionnb blades8e (mm)10twist angle ()180twist pitch (m)6.75inlet dia (m)2.09outlet dia (m)4.56length (m)3.37iopt 2.5inlet Impellerdist. block (m)0.053Mean R (m)0.747block (m)0.047real sect (m)2.728Um (m/s)7.82real sect (m)2.734Vax (m/s)10.26alfa ()34.8Vax (m/s)10.24R (m)alfa ()U (m/s)pitch (m)Vax (m/s)dp (Pa)Cav0.45022.74.710.35310.56557761.300.74734.87.820.58610.44545081.351.04344.210.920.81910.39539751.38
Outlet turbineblock0.15real sect15.55Vax (m/s)1.80
distributor sectionsdepth (m)3Pressure (Pa)13074020.000200.94gap (mm)2Nb blades9e (mm)10I opt impeller2.5R (m)real secttotal sectspeed ratioVax (m/s)U (m/s)alfa ()deviationdp (Pa)coef cav0.452.742.831.0311.094.7123.0225.52614951.0850.7474.604.691.0210.957.8235.5338.03599201.1400.9786.066.151.0110.9010.2443.2345.73593681.1601.0436.466.551.0110.8910.9245.0947.59592591.164R (m)g %chordchorde (%c)camber ()st angle ()ioptpitch (m)sigmathk0.459.28173.85.7521.012.7620.3140.007-0.0010.74714.87281.73.5533.119.022.40.5210.012-0.0120.97819.66366.12.7342.922.870.30.6830.0020.0061.04320.6130.033.3344.823.800.30.7280.0020.006
turbine blade developpmentinternal diameter (m)0.9Xa (m)Radius (m)alfa ()Ld (m)Ld1 (m)xo (m)x1 (m)x2 (m)external radius (m)2.0900.4522.73.663.6600.003.66Inlet impelleroutlet Diameter (m)4.600.74734.84.114.11-0.23-0.233.88leading edgeimpeller length (m)3.3701.04344.24.704.70-0.56-0.564.14twist angle ()1800.1691.10545.84.844.60-0.64-0.404.20calculation pitch (m)0.170.3371.16747.44.984.48-0.73-0.234.25impeller pitch (m)6.750.5061.22948.85.134.36-0.82-0.054.31expansion angle ()400.6751.29050.25.274.22-0.910.144.360.8441.35251.55.434.07-1.010.354.421.0121.41452.85.583.91-1.110.564.471.1811.47654.05.733.73-1.210.794.521.3501.53855.15.893.54-1.321.044.571.5191.60056.16.053.33-1.431.294.621.6871.66157.16.223.11-1.551.564.671.8561.72358.16.382.87-1.671.844.712.0251.78559.06.552.62-1.792.144.762.1941.84759.86.712.35-1.912.454.802.3621.90960.66.882.06-2.042.774.842.5311.97161.47.051.76-2.173.124.882.7002.03362.17.221.44-2.313.474.922.8692.09462.87.391.11-2.443.844.953.372.28064.87.920.00-2.875.055.05trailing edge
0.450xa0.453.660.5011.5
Xa (m)0.963R1 (m)1.043R2 (m)1.396section1sections length0.963r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.661.040.000.001.040.74734.84.111.17-0.23-0.230.941.04344.24.701.34-0.56-0.560.781.06544.84.751.36-0.59-0.590.771.08745.34.801.37-0.62-0.620.751.11045.94.851.38-0.65-0.650.741.13246.54.901.40-0.68-0.680.721.39652.45.531.58-1.08-1.080.50
Xa (m)1.926R1 (m)1.396R2 (m)1.749section2r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.662.090.001.042.090.74734.84.112.35-0.230.942.111.04344.24.702.68-0.560.782.121.08745.34.802.74-0.620.772.121.13246.54.902.80-0.680.752.121.17647.65.002.86-0.740.742.111.22048.65.112.91-0.810.722.111.74958.46.453.68-1.720.501.96
Xa (m)2.889R1 (m)1.749R2 (m)2.102section3r (m)alfa ()Ld (m)ld1 (m)xo (m)x1 (m)x2 (m)0.4522.73.663.130.002.093.130.74734.84.113.52-0.232.113.291.04344.24.704.03-0.562.123.461.11446.04.864.16-0.652.123.511.18547.85.024.30-0.752.123.551.25649.55.194.44-0.862.113.591.32751.05.364.59-0.972.113.622.10262.97.426.35-2.461.963.89
Blade's developped formRadius (m)Section 1
general calc0.750.05Um (m/s)7.82deviat nom.()35.53Qv (mFlow Vax (m/s)neck speeddist Vax (m/s)rotor vax (m/s)outlet Vax (m/s)deviation ()st variation ()0.75211.358.057.707.681.3545.510.00.822.41.448.598.218.191.4443.78.10.8523.81.539.138.728.701.5341.96.40.925.21.629.669.249.221.6240.34.80.9526.61.7110.209.759.731.7138.83.31281.810.7410.2610.241.8037.41.81.0529.41.8911.2710.7810.751.8936.00.51.130.81.9811.8111.2911.261.9834.81.1532.22.0712.3511.8011.782.0733.61.233.62.1612.8812.3212.292.1632.51.25352.2513.4212.8312.802.2531.4Qv (m3/s)Pinit (Pa)Neck P (Pa)Dist P (Pa)rotor P (Pa)Outlet P (Pa)21.00129828.898316.2101116.1101244.4129827.822.40129703.293848.997034.597180.6129702.123.80129569.689093.492689.792854.6129568.325.20129427.884049.788081.588266.4129426.426.60129278.078717.883210.083416.0129276.428.00129120.073097.678075.278303.4129118.229.40128954.067189.372677.172928.7128952.030.80128779.860992.767015.667291.7128777.732.20128597.654508.061090.861392.6128595.233.60128407.247735.054902.755231.3128404.735.00128208.840673.848451.248807.8128206.0ERROR:#DIV/0!0.0000.00807570350.00Cavitation coefficientMin cav. Coef2.87096172521.2501.26156626121.00139.73.03.33.3139.63.00.87078834180.00003428010.006606568422.40122.72.52.82.8122.62.50.30728722780.666813284339676.938447664223.80108.62.12.42.4108.42.18.135710742325.2096.71.72.02.096.61.726.6086.71.51.71.786.61.528.0078.21.21.41.478.11.210.7370767869ERROR:#REF!ERROR:#REF!29.4070.81.01.21.270.71.056.02240896361568.6274509804ERROR:#REF!30.8064.40.81.01.064.30.82.60778613731568.627450980432.2058.90.70.80.858.80.72.0323229158100033.6054.00.50.70.753.90.535.71428571438.257637157757642.408963585435.0049.70.40.60.649.60.443682.5910364146dH inlet (kJ)dH dist (kJ)static dH (kJ)dH turbine (kJ)dH total (kJ)-661.7658.80-602.97600.25-2.72-803.1471.36-731.78728.48-3.30-963.3385.59-877.74873.79-3.96-1143.53101.60-1041.931037.23-4.69-1344.90119.49-1225.411219.89-5.52-1568.63139.37-1429.261422.82-6.44-1815.88161.34-1654.541647.09-7.46-2087.84185.50-1902.34-2385.69211.97-2173.72-2710.59240.84-2469.75-3063.73272.21-2791.51
losses calculations
