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. What follows is a set of STUDENT UNIQUE SHEETS for WATS 9.

1. Fluid Mechanics and Thermodynamics<br />Weekly Assessed Tutorial Sheets,<br />Student Sheets: WATS 9.<br />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.<br />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.<br />FURTHER INFORMATION<br />Please see http://tinyurl.com/2wf2lfh to access the WATS Random Factor Generating Wizard. <br />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.<br />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.<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number1NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.34 kg/m3 and its dynamic viscosity is<br />2.20 x 10-5 N s/m2. For the liquid you may assume that the density is 1120.00 kg/m3.<br />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. <br />Assuming a 5.00 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.50 x 10-6 N s/m2 and a density of 1.15 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number2NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 3.49 kg/m3 and its dynamic viscosity is<br />3.30 x 10-5 N s/m2. For the liquid you may assume that the density is 1200.00 kg/m3.<br />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. <br />Assuming a 8.60 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.80 x 10-6 N s/m2 and a density of 1.26 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number3NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.80 kg/m3 and its dynamic viscosity is<br />3.00 x 10-5 N s/m2. For the liquid you may assume that the density is 930.00 kg/m3.<br />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. <br />Assuming a 0.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.10 x 10-6 N s/m2 and a density of 1.31 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number4NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.98 kg/m3 and its dynamic viscosity is<br />3.30 x 10-5 N s/m2. For the liquid you may assume that the density is 1090.00 kg/m3.<br />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. <br />Assuming a 2.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.90 x 10-6 N s/m2 and a density of 1.06 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number5NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.67 kg/m3 and its dynamic viscosity is<br />3.90 x 10-5 N s/m2. For the liquid you may assume that the density is 1070.00 kg/m3.<br />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. <br />Assuming a 8.10 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.40 x 10-6 N s/m2 and a density of 1.17 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number6NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.85 kg/m3 and its dynamic viscosity is<br />3.20 x 10-5 N s/m2. For the liquid you may assume that the density is 1100.00 kg/m3.<br />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. <br />Assuming a 8.30 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.70 x 10-6 N s/m2 and a density of 1.16 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number7NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.52 kg/m3 and its dynamic viscosity is<br />1.90 x 10-5 N s/m2. For the liquid you may assume that the density is 970.00 kg/m3.<br />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. <br />Assuming a 3.20 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.60 x 10-6 N s/m2 and a density of 1.06 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number8NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.36 kg/m3 and its dynamic viscosity is<br />3.10 x 10-5 N s/m2. For the liquid you may assume that the density is 1150.00 kg/m3.<br />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. <br />Assuming a 9.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.40 x 10-6 N s/m2 and a density of 1.17 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number9NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.46 kg/m3 and its dynamic viscosity is<br />3.70 x 10-5 N s/m2. For the liquid you may assume that the density is 830.00 kg/m3.<br />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. <br />Assuming a 4.60 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.00 x 10-6 N s/m2 and a density of 1.17 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number10NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.23 kg/m3 and its dynamic viscosity is<br />4.50 x 10-5 N s/m2. For the liquid you may assume that the density is 990.00 kg/m3.<br />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. <br />Assuming a 1.20 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.70 x 10-6 N s/m2 and a density of 1.23 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number11NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.01 kg/m3 and its dynamic viscosity is<br />1.60 x 10-5 N s/m2. For the liquid you may assume that the density is 1110.00 kg/m3.<br />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. <br />Assuming a 9.50 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.50 x 10-6 N s/m2 and a density of 1.17 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number12NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 3.01 kg/m3 and its dynamic viscosity is<br />3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 930.00 kg/m3.<br />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. <br />Assuming a 1.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.40 x 10-6 N s/m2 and a density of 1.34 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number13NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.77 kg/m3 and its dynamic viscosity is<br />2.30 x 10-5 N s/m2. For the liquid you may assume that the density is 860.00 kg/m3.<br />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. <br />Assuming a 2.30 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.20 x 10-6 N s/m2 and a density of 1.10 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number14NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.04 kg/m3 and its dynamic viscosity is<br />1.80 x 10-5 N s/m2. For the liquid you may assume that the density is 1050.00 kg/m3.<br />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. <br />Assuming a 7.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.30 x 10-6 N s/m2 and a density of 1.12 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number15NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 3.86 kg/m3 and its dynamic viscosity is<br />3.90 x 10-5 N s/m2. For the liquid you may assume that the density is 970.00 kg/m3.<br />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. <br />Assuming a 6.30 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.60 x 10-6 N s/m2 and a density of 1.09 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number16NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.32 kg/m3 and its dynamic viscosity is<br />3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 880.00 kg/m3.<br />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. <br />Assuming a 5.40 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.80 x 10-6 N s/m2 and a density of 1.30 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number17NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.11 kg/m3 and its dynamic viscosity is<br />2.90 x 10-5 N s/m2. For the liquid you may assume that the density is 1160.00 kg/m3.<br />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. <br />Assuming a 7.40 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.50 x 10-6 N s/m2 and a density of 1.18 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number18NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.02 kg/m3 and its dynamic viscosity is<br />3.50 x 10-5 N s/m2. For the liquid you may assume that the density is 840.00 kg/m3.<br />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. <br />Assuming a 3.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.90 x 10-6 N s/m2 and a density of 1.25 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number19NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.92 kg/m3 and its dynamic viscosity is<br />2.00 x 10-5 N s/m2. For the liquid you may assume that the density is 980.00 kg/m3.<br />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. <br />Assuming a 0.70 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.50 x 10-6 N s/m2 and a density of 1.22 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number20NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 3.79 kg/m3 and its dynamic viscosity is<br />3.40 x 10-5 N s/m2. For the liquid you may assume that the density is 910.00 kg/m3.<br />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. <br />Assuming a 5.30 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.70 x 10-6 N s/m2 and a density of 1.27 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number21NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.00 kg/m3 and its dynamic viscosity is<br />3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 1050.00 kg/m3.<br />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. <br />Assuming a 9.20 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.20 x 10-6 N s/m2 and a density of 1.13 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number22NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.80 kg/m3 and its dynamic viscosity is<br />2.60 x 10-5 N s/m2. For the liquid you may assume that the density is 1090.00 kg/m3.<br />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. <br />Assuming a 3.70 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.70 x 10-6 N s/m2 and a density of 1.11 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number23NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.75 kg/m3 and its dynamic viscosity is<br />2.50 x 10-5 N s/m2. For the liquid you may assume that the density is 1020.00 kg/m3.<br />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. <br />Assuming a 5.60 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.20 x 10-6 N s/m2 and a density of 1.23 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number24NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 3.54 kg/m3 and its dynamic viscosity is<br />3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 1040.00 kg/m3.<br />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. <br />Assuming a 7.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.90 x 10-6 N s/m2 and a density of 1.25 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number25NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.44 kg/m3 and its dynamic viscosity is<br />2.70 x 10-5 N s/m2. For the liquid you may assume that the density is 990.00 kg/m3.<br />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. <br />Assuming a 5.60 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.30 x 10-6 N s/m2 and a density of 1.19 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number26NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.35 kg/m3 and its dynamic viscosity is<br />2.60 x 10-5 N s/m2. For the liquid you may assume that the density is 1130.00 kg/m3.<br />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. <br />Assuming a 6.70 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.10 x 10-6 N s/m2 and a density of 1.24 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number27NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 3.15 kg/m3 and its dynamic viscosity is<br />3.60 x 10-5 N s/m2. For the liquid you may assume that the density is 970.00 kg/m3.<br />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. <br />Assuming a 4.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.90 x 10-6 N s/m2 and a density of 1.10 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number28NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.77 kg/m3 and its dynamic viscosity is<br />2.10 x 10-5 N s/m2. For the liquid you may assume that the density is 1140.00 kg/m3.<br />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. <br />Assuming a 6.60 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.40 x 10-6 N s/m2 and a density of 1.15 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number29NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.41 kg/m3 and its dynamic viscosity is<br />4.30 x 10-5 N s/m2. For the liquid you may assume that the density is 1180.00 kg/m3.<br />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. <br />Assuming a 7.50 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.20 x 10-6 N s/m2 and a density of 1.13 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number30NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.52 kg/m3 and its dynamic viscosity is<br />3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 1070.00 kg/m3.<br />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. <br />Assuming a 1.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.20 x 10-6 N s/m2 and a density of 1.26 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number31NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.65 kg/m3 and its dynamic viscosity is<br />1.90 x 10-5 N s/m2. For the liquid you may assume that the density is 970.00 kg/m3.<br />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. <br />Assuming a 7.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.90 x 10-6 N s/m2 and a density of 1.30 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number32NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 3.33 kg/m3 and its dynamic viscosity is<br />2.20 x 10-5 N s/m2. For the liquid you may assume that the density is 800.00 kg/m3.<br />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. <br />Assuming a 7.00 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.70 x 10-6 N s/m2 and a density of 1.24 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number33NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 3.37 kg/m3 and its dynamic viscosity is<br />3.80 x 10-5 N s/m2. For the liquid you may assume that the density is 930.00 kg/m3.<br />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. <br />Assuming a 4.10 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.30 x 10-6 N s/m2 and a density of 1.26 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number34NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.50 kg/m3 and its dynamic viscosity is<br />1.80 x 10-5 N s/m2. For the liquid you may assume that the density is 1180.00 kg/m3.<br />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. <br />Assuming a 2.40 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.00 x 10-6 N s/m2 and a density of 1.22 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number35NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.04 kg/m3 and its dynamic viscosity is<br />3.50 x 10-5 N s/m2. For the liquid you may assume that the density is 1180.00 kg/m3.<br />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. <br />Assuming a 4.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.60 x 10-6 N s/m2 and a density of 1.11 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number36NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 3.16 kg/m3 and its dynamic viscosity is<br />4.00 x 10-5 N s/m2. For the liquid you may assume that the density is 1060.00 kg/m3.<br />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. <br />Assuming a 1.50 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.70 x 10-6 N s/m2 and a density of 1.09 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number37NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.79 kg/m3 and its dynamic viscosity is<br />3.40 x 10-5 N s/m2. For the liquid you may assume that the density is 900.00 kg/m3.<br />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. <br />Assuming a 7.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.40 x 10-6 N s/m2 and a density of 1.07 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number38NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.34 kg/m3 and its dynamic viscosity is<br />4.20 x 10-5 N s/m2. For the liquid you may assume that the density is 940.00 kg/m3.<br />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. <br />Assuming a 1.20 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.50 x 10-6 N s/m2 and a density of 1.15 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number39NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.81 kg/m3 and its dynamic viscosity is<br />4.00 x 10-5 N s/m2. For the liquid you may assume that the density is 1190.00 kg/m3.<br />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. <br />Assuming a 1.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />16.50 x 10-6 N s/m2 and a density of 1.20 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number40NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.79 kg/m3 and its dynamic viscosity is<br />1.90 x 10-5 N s/m2. For the liquid you may assume that the density is 1050.00 kg/m3.<br />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. <br />Assuming a 4.50 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.60 x 10-6 N s/m2 and a density of 1.25 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number41NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.58 kg/m3 and its dynamic viscosity is<br />1.70 x 10-5 N s/m2. For the liquid you may assume that the density is 860.00 kg/m3.<br />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. <br />Assuming a 9.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.10 x 10-6 N s/m2 and a density of 1.23 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number42NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.47 kg/m3 and its dynamic viscosity is<br />1.90 x 10-5 N s/m2. For the liquid you may assume that the density is 1180.00 kg/m3.<br />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. <br />Assuming a 5.70 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.60 x 10-6 N s/m2 and a density of 1.24 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number43NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.71 kg/m3 and its dynamic viscosity is<br />2.50 x 10-5 N s/m2. For the liquid you may assume that the density is 1030.00 kg/m3.<br />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. <br />Assuming a 5.90 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.40 x 10-6 N s/m2 and a density of 1.35 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number44NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.89 kg/m3 and its dynamic viscosity is<br />1.70 x 10-5 N s/m2. For the liquid you may assume that the density is 980.00 kg/m3.<br />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. <br />Assuming a 7.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.10 x 10-6 N s/m2 and a density of 1.26 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number45NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.68 kg/m3 and its dynamic viscosity is<br />4.30 x 10-5 N s/m2. For the liquid you may assume that the density is 1140.00 kg/m3.<br />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. <br />Assuming a 4.00 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.50 x 10-6 N s/m2 and a density of 1.28 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number46NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.15 kg/m3 and its dynamic viscosity is<br />3.60 x 10-5 N s/m2. For the liquid you may assume that the density is 1150.00 kg/m3.<br />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. <br />Assuming a 3.00 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.00 x 10-6 N s/m2 and a density of 1.05 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number47NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.21 kg/m3 and its dynamic viscosity is<br />2.70 x 10-5 N s/m2. For the liquid you may assume that the density is 950.00 kg/m3.<br />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. <br />Assuming a 9.40 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.30 x 10-6 N s/m2 and a density of 1.21 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number48NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.72 kg/m3 and its dynamic viscosity is<br />3.50 x 10-5 N s/m2. For the liquid you may assume that the density is 1150.00 kg/m3.<br />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. <br />Assuming a 5.00 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />18.30 x 10-6 N s/m2 and a density of 1.33 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number49NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 4.48 kg/m3 and its dynamic viscosity is<br />4.40 x 10-5 N s/m2. For the liquid you may assume that the density is 1170.00 kg/m3.<br />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. <br />Assuming a 2.80 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.50 x 10-6 N s/m2 and a density of 1.32 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Fluid Mechanics and Thermodynamics.<br />Weekly Assessed Tutorial Sheet 9.<br />Student Number50NameHand out dateHand in date<br />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.<br />i) Calculate the dynamic viscosity (N s /m2) of a suitable liquid. [9 dp](2 marks)<br />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)<br />For the gas you may assume that the density is 5.02 kg/m3 and its dynamic viscosity is<br />4.30 x 10-5 N s/m2. For the liquid you may assume that the density is 1040.00 kg/m3.<br />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. <br />Assuming a 4.40 mm diameter cylinder is exposed to a fluid with a dynamic viscosity of<br />17.40 x 10-6 N s/m2 and a density of 1.18 kg/m3 calculate - <br />i)the lowest speed (m/s) likely to cause vortex shedding to occur and [4 dp](1 marks)<br />ii)the highest speed likely (m/s) to cause vortex shedding occur. [4 dp](1 marks)<br />Credits<br />This resource was created by the University of Hertfordshire and released as an open educational resource through the Open Engineering Resources project of the HE Academy Engineering Subject Centre. 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