Fluid Mechanics and ThermodynamicsWeekly Assessed Tutorial Sheets,

Student Sheets: WATS 9.

The WATS approach to assessment was developed as part of an LTSN Engineering Mini-Project, funded at the University of Hertfordshire which aimed to develop a set of 'student unique' tutorial sheets to actively encourage and improve student participation within a first year first ‘fluid mechanics and thermodynamics’ module. Please see the accompanying Mini-Project Report “Improving student success and retention through greater participation and tackling student-unique tutorial sheets” for more information.

The WATS cover core Fluid Mechanics and Thermodynamics topics at first year undergraduate level. 11 tutorial sheets and their worked solutions are provided here for you to utilise in your teaching. The variables within each question can be altered so that each student answers the same question but will need to produce a unique solution.

FURTHER INFORMATION

Please see http://tinyurl.com/2wf2lfh to access the WATS Random Factor Generating Wizard.

There are also explanatory videos on how to use the Wizard and how to implement WATS available at http://www.youtube.com/user/MBRBLU#p/u/7/0wgC4wy1cV0 and http://www.youtube.com/user/MBRBLU#p/u/6/MGpueiPHpqk.

For more information on WATS, its use and impact on students please contact Mark Russell, School of Aerospace, Automotive and Design Engineering at University of Hertfordshire.

© University of Hertfordshire 2009 This work is licensed under a Creative Commons Attribution 2.0 License.

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 1

Name

Hand out date Hand in date

Q1). The torque required to rotate a 6.10 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 350 mm diameter in a liquid at 450 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 370 Nm calculate the torque (Nm) required to rotate the full size

disc at 5.30 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.34 kg/m3 and its dynamic viscosity is2.20 x 10-5 N s/m2. For the liquid you may assume that the density is 1120.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 5.00 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.50 x 10-6 N s/m2 and a density of 1.15 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 2

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.20 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 340 mm diameter in a liquid at 550 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 470 Nm calculate the torque (Nm) required to rotate

the full size disc at 4.60 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 3.49 kg/m3 and its dynamic viscosity is3.30 x 10-5 N s/m2. For the liquid you may assume that the density is 1200.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 8.60 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.80 x 10-6 N s/m2 and a density of 1.26 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 3

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.10 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 440 mm diameter in a liquid at 430 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 470 Nm calculate the torque (Nm) required to rotate

the full size disc at 4.40 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.80 kg/m3 and its dynamic viscosity is3.00 x 10-5 N s/m2. For the liquid you may assume that the density is 930.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 0.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.10 x 10-6 N s/m2 and a density of 1.31 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 4

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.00 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 310 mm diameter in a liquid at 690 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 400 Nm calculate the torque (Nm) required to rotate

the full size disc at 6.80 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.98 kg/m3 and its dynamic viscosity is3.30 x 10-5 N s/m2. For the liquid you may assume that the density is 1090.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 2.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.90 x 10-6 N s/m2 and a density of 1.06 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 5

Name

Hand out date Hand in date

Q1). The torque required to rotate a 6.80 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 430 mm diameter in a liquid at 410 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 360 Nm calculate the torque (Nm) required to rotate

the full size disc at 4.70 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.67 kg/m3 and its dynamic viscosity is3.90 x 10-5 N s/m2. For the liquid you may assume that the density is 1070.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 8.10 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.40 x 10-6 N s/m2 and a density of 1.17 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 6

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.70 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 570 mm diameter in a liquid at 730 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 370 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.90 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.85 kg/m3 and its dynamic viscosity is3.20 x 10-5 N s/m2. For the liquid you may assume that the density is 1100.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 8.30 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.70 x 10-6 N s/m2 and a density of 1.16 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 7

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.20 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 520 mm diameter in a liquid at 530 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 210 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.70 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.52 kg/m3 and its dynamic viscosity is1.90 x 10-5 N s/m2. For the liquid you may assume that the density is 970.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 3.20 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.60 x 10-6 N s/m2 and a density of 1.06 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 8

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.80 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 360 mm diameter in a liquid at 720 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 310 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.00 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.36 kg/m3 and its dynamic viscosity is3.10 x 10-5 N s/m2. For the liquid you may assume that the density is 1150.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 9.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.40 x 10-6 N s/m2 and a density of 1.17 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 9

Name

Hand out date Hand in date

Q1). The torque required to rotate a 4.20 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 400 mm diameter in a liquid at 690 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 350 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.30 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.46 kg/m3 and its dynamic viscosity is3.70 x 10-5 N s/m2. For the liquid you may assume that the density is 830.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 4.60 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.00 x 10-6 N s/m2 and a density of 1.17 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 10

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.50 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 250 mm diameter in a liquid at 480 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 390 Nm calculate the torque (Nm) required to rotate

the full size disc at 4.40 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.23 kg/m3 and its dynamic viscosity is4.50 x 10-5 N s/m2. For the liquid you may assume that the density is 990.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 1.20 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.70 x 10-6 N s/m2 and a density of 1.23 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 11

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.10 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 270 mm diameter in a liquid at 720 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 150 Nm calculate the torque (Nm) required to rotate

the full size disc at 4.60 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.01 kg/m3 and its dynamic viscosity is1.60 x 10-5 N s/m2. For the liquid you may assume that the density is 1110.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 9.50 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.50 x 10-6 N s/m2 and a density of 1.17 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 12

Name

Hand out date Hand in date

Q1). The torque required to rotate a 6.40 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 470 mm diameter in a liquid at 630 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 250 Nm calculate the torque (Nm) required to rotate

the full size disc at 4.80 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 3.01 kg/m3 and its dynamic viscosity is3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 930.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 1.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.40 x 10-6 N s/m2 and a density of 1.34 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 13

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.20 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 460 mm diameter in a liquid at 400 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 370 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.50 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.77 kg/m3 and its dynamic viscosity is2.30 x 10-5 N s/m2. For the liquid you may assume that the density is 860.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 2.30 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.20 x 10-6 N s/m2 and a density of 1.10 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 14

Name

Hand out date Hand in date

Q1). The torque required to rotate a 6.60 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 510 mm diameter in a liquid at 470 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 390 Nm calculate the torque (Nm) required to rotate

the full size disc at 6.90 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.04 kg/m3 and its dynamic viscosity is1.80 x 10-5 N s/m2. For the liquid you may assume that the density is 1050.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 7.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.30 x 10-6 N s/m2 and a density of 1.12 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 15

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.10 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 230 mm diameter in a liquid at 560 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 450 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.00 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 3.86 kg/m3 and its dynamic viscosity is3.90 x 10-5 N s/m2. For the liquid you may assume that the density is 970.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 6.30 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.60 x 10-6 N s/m2 and a density of 1.09 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 16

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.30 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 430 mm diameter in a liquid at 500 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 150 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.30 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.32 kg/m3 and its dynamic viscosity is3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 880.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 5.40 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.80 x 10-6 N s/m2 and a density of 1.30 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 17

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.90 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 360 mm diameter in a liquid at 700 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 380 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.20 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.11 kg/m3 and its dynamic viscosity is2.90 x 10-5 N s/m2. For the liquid you may assume that the density is 1160.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 7.40 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.50 x 10-6 N s/m2 and a density of 1.18 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 18

Name

Hand out date Hand in date

Q1). The torque required to rotate a 4.90 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 260 mm diameter in a liquid at 520 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 380 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.80 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.02 kg/m3 and its dynamic viscosity is3.50 x 10-5 N s/m2. For the liquid you may assume that the density is 840.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 3.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.90 x 10-6 N s/m2 and a density of 1.25 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 19

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.90 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 600 mm diameter in a liquid at 700 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 220 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.20 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.92 kg/m3 and its dynamic viscosity is2.00 x 10-5 N s/m2. For the liquid you may assume that the density is 980.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 0.70 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.50 x 10-6 N s/m2 and a density of 1.22 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 20

Name

Hand out date Hand in date

Q1). The torque required to rotate a 6.10 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 310 mm diameter in a liquid at 610 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 180 Nm calculate the torque (Nm) required to rotate

the full size disc at 4.80 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 3.79 kg/m3 and its dynamic viscosity is3.40 x 10-5 N s/m2. For the liquid you may assume that the density is 910.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 5.30 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.70 x 10-6 N s/m2 and a density of 1.27 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 21

Name

Hand out date Hand in date

Q1). The torque required to rotate a 8.00 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 390 mm diameter in a liquid at 730 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 450 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.50 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.00 kg/m3 and its dynamic viscosity is3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 1050.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 9.20 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.20 x 10-6 N s/m2 and a density of 1.13 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 22

Name

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Q1). The torque required to rotate a 4.10 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 380 mm diameter in a liquid at 410 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 380 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.40 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.80 kg/m3 and its dynamic viscosity is2.60 x 10-5 N s/m2. For the liquid you may assume that the density is 1090.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 3.70 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.70 x 10-6 N s/m2 and a density of 1.11 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 23

Name

Hand out date Hand in date

Q1). The torque required to rotate a 4.40 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 580 mm diameter in a liquid at 610 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 200 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.70 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.75 kg/m3 and its dynamic viscosity is2.50 x 10-5 N s/m2. For the liquid you may assume that the density is 1020.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 5.60 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.20 x 10-6 N s/m2 and a density of 1.23 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 24

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.20 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 270 mm diameter in a liquid at 620 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 210 Nm calculate the torque (Nm) required to rotate

the full size disc at 4.20 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 3.54 kg/m3 and its dynamic viscosity is3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 1040.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 7.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.90 x 10-6 N s/m2 and a density of 1.25 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 25

Name

Hand out date Hand in date

Q1). The torque required to rotate a 4.20 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 340 mm diameter in a liquid at 650 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 260 Nm calculate the torque (Nm) required to rotate

the full size disc at 4.80 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.44 kg/m3 and its dynamic viscosity is2.70 x 10-5 N s/m2. For the liquid you may assume that the density is 990.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 5.60 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.30 x 10-6 N s/m2 and a density of 1.19 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 26

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.50 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 360 mm diameter in a liquid at 420 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 200 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.70 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.35 kg/m3 and its dynamic viscosity is2.60 x 10-5 N s/m2. For the liquid you may assume that the density is 1130.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 6.70 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.10 x 10-6 N s/m2 and a density of 1.24 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 27

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.80 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 230 mm diameter in a liquid at 470 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 440 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.40 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 3.15 kg/m3 and its dynamic viscosity is3.60 x 10-5 N s/m2. For the liquid you may assume that the density is 970.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 4.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.90 x 10-6 N s/m2 and a density of 1.10 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 28

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.60 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 350 mm diameter in a liquid at 460 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 380 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.20 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.77 kg/m3 and its dynamic viscosity is2.10 x 10-5 N s/m2. For the liquid you may assume that the density is 1140.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 6.60 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.40 x 10-6 N s/m2 and a density of 1.15 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 29

Name

Hand out date Hand in date

Q1). The torque required to rotate a 4.60 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 550 mm diameter in a liquid at 720 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 290 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.00 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.41 kg/m3 and its dynamic viscosity is4.30 x 10-5 N s/m2. For the liquid you may assume that the density is 1180.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 7.50 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.20 x 10-6 N s/m2 and a density of 1.13 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 30

Name

Hand out date Hand in date

Q1). The torque required to rotate a 6.60 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 440 mm diameter in a liquid at 490 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 320 Nm calculate the torque (Nm) required to rotate

the full size disc at 6.80 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.52 kg/m3 and its dynamic viscosity is3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 1070.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 1.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.20 x 10-6 N s/m2 and a density of 1.26 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 31

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.70 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 220 mm diameter in a liquid at 670 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 490 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.40 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.65 kg/m3 and its dynamic viscosity is1.90 x 10-5 N s/m2. For the liquid you may assume that the density is 970.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 7.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.90 x 10-6 N s/m2 and a density of 1.30 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 32

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.30 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 260 mm diameter in a liquid at 450 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 200 Nm calculate the torque (Nm) required to rotate

the full size disc at 4.40 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 3.33 kg/m3 and its dynamic viscosity is2.20 x 10-5 N s/m2. For the liquid you may assume that the density is 800.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 7.00 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.70 x 10-6 N s/m2 and a density of 1.24 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 33

Name

Hand out date Hand in date

Q1). The torque required to rotate a 4.80 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 500 mm diameter in a liquid at 440 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 250 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.20 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 3.37 kg/m3 and its dynamic viscosity is3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 930.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 4.10 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.30 x 10-6 N s/m2 and a density of 1.26 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 34

Name

Hand out date Hand in date

Q1). The torque required to rotate a 6.30 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 260 mm diameter in a liquid at 700 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 350 Nm calculate the torque (Nm) required to rotate

the full size disc at 6.20 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.50 kg/m3 and its dynamic viscosity is1.80 x 10-5 N s/m2. For the liquid you may assume that the density is 1180.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 2.40 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.00 x 10-6 N s/m2 and a density of 1.22 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 35

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.80 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 480 mm diameter in a liquid at 560 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 290 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.20 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.04 kg/m3 and its dynamic viscosity is3.50 x 10-5 N s/m2. For the liquid you may assume that the density is 1180.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 4.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.60 x 10-6 N s/m2 and a density of 1.11 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 36

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.00 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 410 mm diameter in a liquid at 480 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 450 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.20 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 3.16 kg/m3 and its dynamic viscosity is4.00 x 10-5 N s/m2. For the liquid you may assume that the density is 1060.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 1.50 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.70 x 10-6 N s/m2 and a density of 1.09 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 37

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.50 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 590 mm diameter in a liquid at 490 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 350 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.60 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.79 kg/m3 and its dynamic viscosity is3.40 x 10-5 N s/m2. For the liquid you may assume that the density is 900.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 7.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.40 x 10-6 N s/m2 and a density of 1.07 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 38

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.70 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 230 mm diameter in a liquid at 420 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 230 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.60 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.34 kg/m3 and its dynamic viscosity is4.20 x 10-5 N s/m2. For the liquid you may assume that the density is 940.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 1.20 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.50 x 10-6 N s/m2 and a density of 1.15 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 39

Name

Hand out date Hand in date

Q1). The torque required to rotate a 6.50 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 330 mm diameter in a liquid at 430 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 320 Nm calculate the torque (Nm) required to rotate

the full size disc at 6.60 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.81 kg/m3 and its dynamic viscosity is4.00 x 10-5 N s/m2. For the liquid you may assume that the density is 1190.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 1.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of16.50 x 10-6 N s/m2 and a density of 1.20 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 40

Name

Hand out date Hand in date

Q1). The torque required to rotate a 4.40 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 470 mm diameter in a liquid at 490 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 270 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.80 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.79 kg/m3 and its dynamic viscosity is1.90 x 10-5 N s/m2. For the liquid you may assume that the density is 1050.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 4.50 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.60 x 10-6 N s/m2 and a density of 1.25 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 41

Name

Hand out date Hand in date

Q1). The torque required to rotate a 6.80 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 350 mm diameter in a liquid at 420 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 350 Nm calculate the torque (Nm) required to rotate

the full size disc at 6.10 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.58 kg/m3 and its dynamic viscosity is1.70 x 10-5 N s/m2. For the liquid you may assume that the density is 860.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 9.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.10 x 10-6 N s/m2 and a density of 1.23 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 42

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.30 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 550 mm diameter in a liquid at 570 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 410 Nm calculate the torque (Nm) required to rotate

the full size disc at 6.30 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.47 kg/m3 and its dynamic viscosity is1.90 x 10-5 N s/m2. For the liquid you may assume that the density is 1180.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 5.70 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.60 x 10-6 N s/m2 and a density of 1.24 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 43

Name

Hand out date Hand in date

Q1). The torque required to rotate a 6.20 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 360 mm diameter in a liquid at 560 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 390 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.80 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.71 kg/m3 and its dynamic viscosity is2.50 x 10-5 N s/m2. For the liquid you may assume that the density is 1030.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 5.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.40 x 10-6 N s/m2 and a density of 1.35 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 44

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.70 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 420 mm diameter in a liquid at 690 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 410 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.10 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.89 kg/m3 and its dynamic viscosity is1.70 x 10-5 N s/m2. For the liquid you may assume that the density is 980.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 7.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.10 x 10-6 N s/m2 and a density of 1.26 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 45

Name

Hand out date Hand in date

Q1). The torque required to rotate a 6.00 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 250 mm diameter in a liquid at 600 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 490 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.60 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.68 kg/m3 and its dynamic viscosity is4.30 x 10-5 N s/m2. For the liquid you may assume that the density is 1140.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 4.00 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.50 x 10-6 N s/m2 and a density of 1.28 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 46

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.90 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 200 mm diameter in a liquid at 680 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 270 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.50 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.15 kg/m3 and its dynamic viscosity is3.60 x 10-5 N s/m2. For the liquid you may assume that the density is 1150.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 3.00 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.00 x 10-6 N s/m2 and a density of 1.05 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 47

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.60 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 570 mm diameter in a liquid at 740 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 170 Nm calculate the torque (Nm) required to rotate

the full size disc at 5.20 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.21 kg/m3 and its dynamic viscosity is2.70 x 10-5 N s/m2. For the liquid you may assume that the density is 950.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 9.40 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.30 x 10-6 N s/m2 and a density of 1.21 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 48

Name

Hand out date Hand in date

Q1). The torque required to rotate a 4.20 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 290 mm diameter in a liquid at 640 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 320 Nm calculate the torque (Nm) required to rotate

the full size disc at 7.00 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.72 kg/m3 and its dynamic viscosity is3.50 x 10-5 N s/m2. For the liquid you may assume that the density is 1150.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 5.00 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of18.30 x 10-6 N s/m2 and a density of 1.33 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 49

Name

Hand out date Hand in date

Q1). The torque required to rotate a 7.90 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 280 mm diameter in a liquid at 660 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 270 Nm calculate the torque (Nm) required to rotate

the full size disc at 6.40 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 4.48 kg/m3 and its dynamic viscosity is4.40 x 10-5 N s/m2. For the liquid you may assume that the density is 1170.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 2.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.50 x 10-6 N s/m2 and a density of 1.32 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

Fluid Mechanics and Thermodynamics.Weekly Assessed Tutorial Sheet 9.

Student Number 50

Name

Hand out date Hand in date

Q1). The torque required to rotate a 5.60 m diameter flat disc in a gas is to be found by measuring the torque required to rotate a geometrically similar disc of 350 mm diameter in a liquid at 750 rad/s.

i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp] (2 marks)ii) If the torque required for the smaller disc is 380 Nm calculate the torque (Nm) required to rotate

the full size disc at 6.00 rad/s. [2 dp] (2 marks)

For the gas you may assume that the density is 5.02 kg/m3 and its dynamic viscosity is4.30 x 10-5 N s/m2. For the liquid you may assume that the density is 1040.00 kg/m3.

Q2) Alternating, oscillating vortices are usually shed from a cylinder when it is exposed to flow conditions having a ratio of inertial forces to viscous forces in the region of 90 – 1000.

Assuming a 4.40 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of17.40 x 10-6 N s/m2 and a density of 1.18 kg/m3 calculate -

i) the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp] (1 marks)ii) the highest speed likely (m/s) to cause vortex shedding occur. [4 dp] (1 marks)

___________________________________________________________________________________WATS 9. Mark RussellStudent number1 School of Aerospace, Automotive and Design Engineering

University of Hertfordshire

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___________________________________________________________________________________WATS 9. Mark Russell

School of Aerospace, Automotive and Design EngineeringUniversity of Hertfordshire