![Problem 4. Suppose you are designing a torpedo and are interested in measuring the drag force when the torpedo is traveling at a speed u. Assume water has density p and viscosity μ. a) 4 pts] For a torpedo prototype of length a and width b express the drag force F in term of dimensionless ratios. b) 4 pts] If a model is built with a length aa/3, what should be the model ρ, μ width b and testing velocity u if the model is tested in water? If the drag force measured on the model is F what would be the actual drag on the prototype? c) 2 pts] If for experimental reasons you would like to test the model at lower velocities, what would you change?](http://img.homeworklib.com/questions/295fb140-7b85-11eb-b015-67b3a2bcb5c6.png?x-oss-process=image/resize,w_560)
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Fluid Mechanics Please Help!
Problem 4. Suppose you are designing a torpedo and are interested in...
Fluid Mechanics QUESTION 3 State 2 applications of dimensional analysis. (a) (2 marks) (b) The drag force, Fo acting...
Fluid Mechanics
QUESTION 3 State 2 applications of dimensional analysis. (a) (2 marks) (b) The drag force, Fo acting on a ship is considered to be a function of the fluid density (p) viscosity (H). exavitlg). ship velocity (V), and characteristic length (). Using Buckingham П theorem, determine a set ofsuitable dimensionless numbers to describe the relationship.Fo f(p.H.g.V (4 marks) A 1:60 scale model of a ship is used in a water tank to simulate a ship speed of 10...
S6. A submarine of diameter H, velocity v, moves through water of density ρ and If Df is the drag...
S6. A submarine of diameter H, velocity v, moves through water of density ρ and If Df is the drag force on the submarine, then it is known dynamic viscosity that a law of the following form applies μ. for some function G, and where DF/(pv2H2), WH/μ are dimensionless quantities You are not required to derive this formula. Engineers wish to determine the drag on a full size prototype when it is run at v-10 km hr1. To this end,...
human-powered torpedo is being designed for purpose of this competitions. The next year engineering students modeling is to determine the skin friction drag of the torpedo which is acting on L-4...
human-powered torpedo is being designed for purpose of this competitions. The next year engineering students modeling is to determine the skin friction drag of the torpedo which is acting on L-4 carea (perimeter times the length). The overall length of the prototype torpedo 4.5 m and the diameter D m. Prototype Specification requires the torpedo to travel fully in freshwater water (a lake) at T 20 C with velocity V-2.50m/s. The one-fourth el is used for testing in their universitys...
MCE 354 Name A small object (prototype) of dimension 1 mm moves slowly in water. A...
MCE 354 Name A small object (prototype) of dimension 1 mm moves slowly in water. A scale model 100 times larger is tested in glycerin at a velocity of 30 cm/s. The measured drag on the model is 1.3 Newton. Assume the force F on an immersed body in a fluid depends on body length, stream velocity, density and viscosity. (a) Use dimensional analysis to find important dimensionless groups use 5,V,L as Core b) Use similarity analysis to find velocity...
Chemical Engineering Fluid Mechanics 30. The purpose of a centrifugal pump is to increase the pressure...
Chemical Engineering Fluid Mechanics 30. The purpose of a centrifugal pump is to increase the pressure of a liquid in order to move it through a piping system. The pump is driven by a motor, which must provide sufficient power to operate the pump at the desired conditions. You wish to find the pressure developed by a pump operating at a flow rate of 300 gpm with an oil having a specific gravity (SG) of 0.8 and a viscosity of...
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...
(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 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...
Solve and Discuss Concept Problem The drag, F D on a thin rectangular plate (l ×...
Solve and Discuss Concept Problem
The drag, F D on a thin
rectangular plate (l
× h in size) placed normal to a fluid with velocity V, is a function
of the following variables:
F
D = f ( l , h , V , μ , ρ )
Find the dimensionless groups formed as
∏ 1 = Φ ( ∏ 2 , ∏ 3 ). Do not show your solution but only the final
Pi-terms.
A prototype billboard is...
ME Fluid Mechanics Please Help! Problem 3 Water flows from a large reservoir filled to a...
ME Fluid Mechanics Please Help!
Problem 3 Water flows from a large reservoir filled to a height h into a pipe system that feeds a fountain, as shown in the figure. The pipe system consists of two pipes of radius a, friction factor f and lengths L1 and L2, respectively. The two pipes are connected with a valve that has a loss coefficient k, and a 90% bend that has a loss coefficient kb. Ignore entry losses from the reservoir...
Fluid Mechanics
QUESTION 3 State 2 applications of dimensional analysis. (a) (2 marks) (b) The drag force, Fo acting on a ship is considered to be a function of the fluid density (p) viscosity (H). exavitlg). ship velocity (V), and characteristic length (). Using Buckingham П theorem, determine a set ofsuitable dimensionless numbers to describe the relationship.Fo f(p.H.g.V (4 marks) A 1:60 scale model of a ship is used in a water tank to simulate a ship speed of 10...
S6. A submarine of diameter H, velocity v, moves through water of density ρ and If Df is the drag force on the submarine, then it is known dynamic viscosity that a law of the following form applies μ. for some function G, and where DF/(pv2H2), WH/μ are dimensionless quantities You are not required to derive this formula. Engineers wish to determine the drag on a full size prototype when it is run at v-10 km hr1. To this end,...
human-powered torpedo is being designed for purpose of this competitions. The next year engineering students modeling is to determine the skin friction drag of the torpedo which is acting on L-4 carea (perimeter times the length). The overall length of the prototype torpedo 4.5 m and the diameter D m. Prototype Specification requires the torpedo to travel fully in freshwater water (a lake) at T 20 C with velocity V-2.50m/s. The one-fourth el is used for testing in their universitys...
MCE 354 Name A small object (prototype) of dimension 1 mm moves slowly in water. A scale model 100 times larger is tested in glycerin at a velocity of 30 cm/s. The measured drag on the model is 1.3 Newton. Assume the force F on an immersed body in a fluid depends on body length, stream velocity, density and viscosity. (a) Use dimensional analysis to find important dimensionless groups use 5,V,L as Core b) Use similarity analysis to find velocity...
Chemical Engineering Fluid Mechanics 30. The purpose of a centrifugal pump is to increase the pressure of a liquid in order to move it through a piping system. The pump is driven by a motor, which must provide sufficient power to operate the pump at the desired conditions. You wish to find the pressure developed by a pump operating at a flow rate of 300 gpm with an oil having a specific gravity (SG) of 0.8 and a viscosity of...
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...
(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 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...
Solve and Discuss Concept Problem
The drag, F D on a thin
rectangular plate (l
× h in size) placed normal to a fluid with velocity V, is a function
of the following variables:
F
D = f ( l , h , V , μ , ρ )
Find the dimensionless groups formed as
∏ 1 = Φ ( ∏ 2 , ∏ 3 ). Do not show your solution but only the final
Pi-terms.
A prototype billboard is...
ME Fluid Mechanics Please Help!
Problem 3 Water flows from a large reservoir filled to a height h into a pipe system that feeds a fountain, as shown in the figure. The pipe system consists of two pipes of radius a, friction factor f and lengths L1 and L2, respectively. The two pipes are connected with a valve that has a loss coefficient k, and a 90% bend that has a loss coefficient kb. Ignore entry losses from the reservoir...
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