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Fluid Mechanics QUESTION 3 State 2 applications of dimensional analysis. (a) (2 marks) (b) The drag force, Fo acting...
Problem 6: Measurements of drag force are made on a model automobile in a towing tank...
Problem 6: Measurements of drag force are made on a model automobile in a towing tank filled with fresh water. The model length scale is 1/5 that of the prototype. State the conditions required to ensure dynamic similarity between the model and prototype. Determine the fraction of the prototype speed in air at which the model test should be made in water to ensure dynamically similar conditions Measurements made at various speeds show that the dimensionless force ratio becomes constant...
Question 3 (20marks) (a) What do you understand by the term "Dynamic Similarity (b) The drag...
Question 3 (20marks) (a) What do you understand by the term "Dynamic Similarity (b) The drag force F on a body of characteristic dimension D, depends on velocity u, fluid coefficient of dynamic viscosity n, density t and bulk modulus K. (2marks) tu u (14 marks) By means of dimensional analysis show that Fo eD'u K (c) A specimen of length 1.5m is placed in test equipment where water flows past it at a speed of 4m/sec. Caleulate the corresponding...
(40 pts) The drag force exerted on an automobile running at a constant speed of 30...
(40 pts) The drag force exerted on an automobile running at a constant speed of 30 m/s is to be determined by running flow tests on a 1/6 scale model in a water tunnel. The drag force is known to be a function of the characteristic length, L, describing the vehicle frontal section, the vehicle speed relative to the fluid, V, and the fluid density and viscosity. Dimensional analysis has shown the following dimensionless relationship: Cp = º(Re), where FD...
A bridge is supported by two types of rectangular cross-section piles shown in Figure I. The width of the piles...
A bridge is supported by two types of rectangular cross-section piles shown in Figure I. The width of the piles is w 0.5 m and their lengths are either li-2 m or l2 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2. located in a river as You are asked to perform dimensional analysis to find the drag force on the...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The widt...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w - 0.5 m and their lengths are either l 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The wid...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w -0.5 m and their lengths are either lı- 2 m or l2-2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityH 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on the...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The widt...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w = 0.5 m and their lengths are either 11-2 m or l2 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityu- 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The widt...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w 0.5 m and their lengths are either l-2 m or 12 = 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is ρ = 1000 kg/mand its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force on...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The widt...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w 0.5 m and their lengths are eitherl 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is ρ-1000 kg/m' and its absolute viscosityH-1 .00 x 103 N.s/m2 You are asked to perform dimensional analysis to find the drag force on the piles,...
CENTRE INDEX NUMBER SECTION B 30 marks] Calculate the discharge through a pipe of diameter 200...
CENTRE INDEX NUMBER SECTION B 30 marks] Calculate the discharge through a pipe of diameter 200 mm when the difference of pressure head between the ends of the pipe 500 m apart is 4 m of water. Take the value off= 0.009 in the formula hl= a) 19.5e/s b)2.0es e)03 m's d) 29.3 e/s 2. A scale 1:50 scale model of ship is towed through sea water at a speed of 1 ms. A force of 2 N is required...
Problem 6: Measurements of drag force are made on a model automobile in a towing tank filled with fresh water. The model length scale is 1/5 that of the prototype. State the conditions required to ensure dynamic similarity between the model and prototype. Determine the fraction of the prototype speed in air at which the model test should be made in water to ensure dynamically similar conditions Measurements made at various speeds show that the dimensionless force ratio becomes constant...
Question 3 (20marks) (a) What do you understand by the term "Dynamic Similarity (b) The drag force F on a body of characteristic dimension D, depends on velocity u, fluid coefficient of dynamic viscosity n, density t and bulk modulus K. (2marks) tu u (14 marks) By means of dimensional analysis show that Fo eD'u K (c) A specimen of length 1.5m is placed in test equipment where water flows past it at a speed of 4m/sec. Caleulate the corresponding...
(40 pts) The drag force exerted on an automobile running at a constant speed of 30 m/s is to be determined by running flow tests on a 1/6 scale model in a water tunnel. The drag force is known to be a function of the characteristic length, L, describing the vehicle frontal section, the vehicle speed relative to the fluid, V, and the fluid density and viscosity. Dimensional analysis has shown the following dimensionless relationship: Cp = º(Re), where FD...
A bridge is supported by two types of rectangular cross-section piles shown in Figure I. The width of the piles is w 0.5 m and their lengths are either li-2 m or l2 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2. located in a river as You are asked to perform dimensional analysis to find the drag force on the...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w - 0.5 m and their lengths are either l 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w -0.5 m and their lengths are either lı- 2 m or l2-2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityH 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on the...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w = 0.5 m and their lengths are either 11-2 m or l2 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m3 and its absolute viscosityu- 1.00 x 10-3 N.s/m2. You are asked to perform dimensional analysis to find the drag force on...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w 0.5 m and their lengths are either l-2 m or 12 = 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is ρ = 1000 kg/mand its absolute viscosity 1.00 x 10-3 N.s/m2 You are asked to perform dimensional analysis to find the drag force on...
A bridge is supported by two types of rectangular cross-section piles located in a river as shown in Figure 1. The width of the piles is w 0.5 m and their lengths are eitherl 2 m or 12 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is ρ-1000 kg/m' and its absolute viscosityH-1 .00 x 103 N.s/m2 You are asked to perform dimensional analysis to find the drag force on the piles,...
CENTRE INDEX NUMBER SECTION B 30 marks] Calculate the discharge through a pipe of diameter 200 mm when the difference of pressure head between the ends of the pipe 500 m apart is 4 m of water. Take the value off= 0.009 in the formula hl= a) 19.5e/s b)2.0es e)03 m's d) 29.3 e/s 2. A scale 1:50 scale model of ship is towed through sea water at a speed of 1 ms. A force of 2 N is required...
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