![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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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...
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...
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 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...
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...
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,...
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...
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...
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...
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...
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 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...
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...
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,...
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...
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...
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