Calculation of Jet Projectile

Sheet1 (2)Bellmouth Size SelectionFlowBellmouthTotal Flow (m3/sec)Number of BranchesFlow in Each Branch (Q m3/sec)DN SizeActual IDAreaVelocity = Q/A m/sec2.130.700.7000.6170.302.342.130.700.8000.7710.471.50*2.330.770.7000.6170.302.56*2.330.770.8000.7710.471.64* Though 40 mgd flow, at intial stge (based on the supplier pump curve and system curve)for C=150 value flow will be around 43 mgd, which is equal to 2.3 m3/secSo diameter selected is DN 800NOTE : Based on the "Biwater" Product manual it is found that angle ofJET emerging at outlet is 35-38 degree is depending upon the bellmouth sizesHowever for an example to find the angle, please find the attached sketch ,which found 35 degree

Jet-With Bellmouth (2)PROJECTILEWhere,Vh : Horizontal VelocityVx : Horizontal Velocity Component = Velocity x Cos 0Dh : Horizontal DistanceVv : Vertical VelocityVy : Vertical Velocity Component = Velocity x Sin 0Dv : Vertical Distance0 : Angle of Flowt : Time in secA)For Horizontal Motion :To find Horizontal distance @ any time1) Horizontal Velocity = Horizontal Velocity Component2) Horizontal Distance @ 't' time = Horizontal Velocity Component X time in secB)For Vertical Motion :To find Vertical distance @ any timeNote :Vertical velocity will decrease depends upon time and distance traveled,because it is going against the gravitational force.In other words the velocirty will decrease by 'g * t'.1) Vertical Velocity = Vertical Velocity Component2) Vertical Distance @ 't' time = Vertical Velocity Component X time in sec - 1/2gt2Discharge With Bellmouth Arrangement :1Velocity of Jet:2.0m/sec2Angle of Jet :35.0degree3Horizontal Velocity Component Vx :Velocity x Cos 0 =1.64m/sec4Vertical Velocity Component Vy :Velocity x Sin 0 =1.15m/secTime 't'Horizontal Velocity 'Vh'Horizontal Displacement Distance 'Dh'Vertical Velocity 'Vv'Vertical Displacement Distance 'Dv'@ 't'Vh = VxDh = Vx * tVv = Vy- g*tDv = (Vy * t) - (1/2gt2)0.001.640.001.150.000.101.640.160.170.070.201.640.33-0.810.030.301.640.49-1.80-0.100.401.640.66-2.78-0.330.501.640.82-3.76-0.650.601.640.98-4.74-1.080.701.641.15-5.72-1.600.801.641.31-6.70-2.220.901.641.47-7.68-2.941.001.641.64-8.66-3.761.101.641.80-9.64-4.671.201.641.97-10.62-5.691.301.642.13-11.61-6.80Discharge With-out Bellmouth Arrangement :1Velocity of Jet:2.0m/sec2Angle of Jet :90.0degree3Horizontal Velocity Component Vx :Velocity x Cos 0 =-0.004Vertical Velocity Component Vy :Velocity x Sin 0 =2.00Time 't'Horizontal Velocity 'Vh'Horizontal Displacement Distance 'Dh'Vertical Velocity 'Vv'Vertical Displacement Distance 'Dv'@ 't'Vh = VxDh = Vx * tVv = Vy- g*tDv = (Vy * t) - (1/2gt2)0.00-0.000.002.000.000.10-0.00-0.001.020.150.20-0.00-0.000.040.200.30-0.00-0.00-0.940.16Highlights :1). Vertical JET displacement height is 200 mm @ jet velcoity of 2 m/sec2). Horizontal JET displacement will vary depend upon depth.Ex : At 6.8 m depth is 2.13 m @ jet velcoity of 2 m/sec

&L&F&A&CPage &P of &Nie., Vh = Vx ---- (1)ie., Dh = Vx * t ---- (2)ie., Vv = Vy - (g * t) ---- (3)ie., Dv = Vy * t - 1/2 gt2 ---- (2)Key DataKey DataKey DataKey Data

Jet-With Bellmouth (2)000.06566552130.150950.03323104260.2038-0.09730343610.15855-0.3259379148-0.6526723935-1.0775068722-1.6004413509-2.2214758296-2.9406103083-3.757844787-4.6731792657-5.6866137444-6.7981482231

&APage &PVertical Position (m)0.1s0.2s0.3sReservoir DepthJet Motion - With BellmouthJet Motion - With-0ut BellmouthHorizontal Displacement-Dh (m)Vertical Displacement-Dv (m)Jet Motion - Horizontal & Vertical Distance @ Given Time

Jet-With BellmouthPROJECTILEWhere,Vh : Horizontal VelocityVx : Horizontal Velocity Component = Velocity x Cos 0Dh : Horizontal DistanceVv : Vertical VelocityVy : Vertical Velocity Component = Velocity x Sin 0Dv : Vertical Distance0 : Angle of Flowt : Time in secA)For Horizontal Motion :To find Horizontal distance @ any time1) Horizontal Velocity = Horizontal Velocity Component2) Horizontal Distance @ 't' time = Horizontal Velocity Component X time in secB)For Vertical Motion :To find Vertical distance @ any timeNote :Vertical velocity will decrease depends upon time and distance traveled as it is going against the gravitational force.In other words the velocirty will decrease by 'g * t'.1) Vertical Velocity = Vertical Velocity Component2) Vertical Distance @ 't' time = Vertical Velocity Component X time in sec - 1/2gt21Velocity of Jet:2.0m/sec2Angle of Jet :80.0degree3Horizontal Velocity Component Vx :Velocity x Cos 0 =0.35m/sec4Vertical Velocity Component Vy :Velocity x Sin 0 =1.97m/secTime 't'Horizontal Velocity 'Vh'Horizontal Displacement Distance 'Dh'Vertical Velocity 'Vv'Vertical Displacement Distance 'Dv'@ 't'Vh = VxDh = Vx * tVv = Vy- g*tDv = (Vy * t) - (1/2gt2)0.000.350.001.970.000.100.350.030.990.150.200.350.070.010.200.300.350.10-0.970.150.400.350.14-1.950.000.500.350.17-2.94-0.240.600.350.21-3.92-0.580.700.350.24-4.90-1.020.800.350.28-5.88-1.560.900.350.31-6.86-2.201.000.350.35-7.84-2.941.100.350.38-8.82-3.771.200.350.42-9.80-4.701.300.350.45-10.78-5.73

VyVxOJET FlowMax HeightBellmouth Top Level

Jet-With Bellmouth00000000000000

&APage &PVertical Position (m)0.1s0.2s0.3sJet Motion - Horizontal & Vertical Distance @ Given TimeHorizontal Displacement m)Vertical Displacement (m)Jet Motion - Horizontal & Vertical Distance @ Given Time

Jet-Witout Bellmouth0.9659257558-0.0150742442-0.9960742442-1.9770742442-2.9580742442-3.9390742442-4.9200742442-5.9010742442-6.8820742442-7.8630742442-8.8440742442-9.8250742442-10.8060742442-11.7870742442

Vertical Velocity (m/s)vvTime (s)

Sheet 2PROJECTILEWhere,Vh : Horizontal VelocityVx : Horizontal Velocity Component = Velocity x Cos 0Dh : Horizontal DistanceVv : Vertical VelocityVy : Vertical Velocity Component = Velocity x Sin 0Dv : Vertical Distance0 : Angle of Flowt : Time in secA)For Horizontal Motion :To find Horizontal distance @ any time1) Horizontal Velocity = Horizontal Velocity Component2) Horizontal Distance @ 't' time = Horizontal Velocity Component X time in secB)For Vertical Motion :To find Vertical distance @ any timeNote :Vertical velocity will decrease depends upon time and distance traveled as it is going against the gravitational force.In other words the velocirty will decrease by 'g * t'.1) Vertical Velocity = Vertical Velocity Component2) Vertical Distance @ 't' time = Vertical Velocity Component X time in sec - 1/2gt21Velocity of Jet:2.0m/sec2Angle of Jet :90.0degree3Horizontal Velocity Component Vx :Velocity x Cos 0 =-0.00m/sec4Vertical Velocity Component Vy :Velocity x Sin 0 =2.00m/secTime 't'Horizontal Velocity 'Vh'Horizontal Displacement Distance 'Dh'Vertical Velocity 'Vv'Vertical Displacement Distance 'Dv'@ 't'Vh = VxDh = Vx * tVv = Vy- g*tDv = (Vy * t) - (1/2gt2)0.00-0.000.002.000.000.10-0.00-0.001.020.150.20-0.00-0.000.040.200.30-0.00-0.00-0.940.160.40-0.00-0.00-1.920.020.50-0.00-0.00-2.91-0.23-0.000.002.000.00-0.000.002.000.00-0.000.002.000.00-0.000.002.000.00-0.000.002.000.00-0.000.002.000.00-0.000.002.000.00-0.000.002.000.00

VyVxOJET Flowie., Vh = Vx ---- (1)ie., Dh = Vx * t ---- (2)ie., Vv = Vy - (g * t) ---- (3)ie., Dv = Vy * t - 1/2 gt2 ---- (2)Key DataKey Data

Sheet 200000000000000


Sheet16.4278755.4468754.4658753.4848752.5038751.5228750.541875-0.439125-1.420125-2.401125-3.382125-4.363125-5.344125-6.325125


PROJECTILEWhere,Vh : Horizontal VelocityVx : Horizontal Velocity Component = Velocity x Cos 0Dh : Horizontal DistanceVv : Vertical VelocityVy : Vertical Velocity Component = Velocity x Sin 0Dv : Vertical Distance0 : Angle of Flowt : Time in secA)For Horizontal Motion :To find Horizontal distance @ any time1) Horizontal Velocity = Horizontal Velocity Component2) Horizontal Distance @ 't' time = Horizontal Velocity Component X time in secB)For Vertical Motion :To find Vertical distance @ any timeNote :Vertical velocity will decrease depends upon time and distance traveled as it is going against the gravitational force.In other words the velocirty will decrease by 'g * t'.1) Vertical Velocity = Vertical Velocity Component2) Vertical Distance @ 't' time = Vertical Velocity Component X time in sec - 1/2gt21Velocity of Jet:10.0m/sec2Angle of Jet :40.0degree3Horizontal Velocity Component Vx :Velocity x Cos 0 =7.66m/sec4Vertical Velocity Component Vy :Velocity x Sin 0 =6.43m/secTime 't'Horizontal Velocity 'Vh'Horizontal Displacement Distance 'Dh'Vertical Velocity 'Vv'Vertical Displacement Distance 'Dv'@ 't'Vh = VxDh = Vx * tVv = Vy- g*tDv = (Vy * t) - (1/2gt2)0.007.660.006.430.000.107.660.775.450.590.207.661.534.471.090.307.662.303.481.490.407.663.062.501.790.507.663.831.521.990.607.664.600.542.090.707.665.36-0.442.100.807.666.13-1.422.000.907.666.89-2.401.811.007.667.66-3.381.521.107.668.43-4.361.141.207.669.19-5.340.651.307.669.96-6.330.07


00000000000000


6.4278755.4468754.4658753.4848752.5038751.5228750.541875-0.439125-1.420125-2.401125-3.382125-4.363125-5.344125-6.325125


v:10angle:40vx:7.6604453648-8.3907152908vy:6.4278749842tvhvvdhdv0.007.666.430.000.000.107.665.450.770.590.207.664.471.531.090.307.663.482.301.490.407.662.503.061.790.507.661.523.831.990.607.660.544.602.090.707.66-0.445.362.100.807.66-1.426.132.000.907.66-2.406.891.811.007.66-3.387.661.521.107.66-4.368.431.141.207.66-5.349.190.651.307.66-6.339.960.07H:2.11T:0.66D:10.04


00.59373751.0893751.48691251.786351.98768752.0909252.09606252.00311.81203751.5228751.13561250.650250.0667875

Vertical Position (m)0.1s0.2s0.3sdvHorizontal Position (m)

6.4278755.4468754.4658753.4848752.5038751.5228750.541875-0.439125-1.420125-2.401125-3.382125-4.363125-5.344125-6.325125


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Calculation of Jet Projectile