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Problem 6: Measurements of drag force are made on a model automobile in a towing tank...
(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...
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...
Q3. Drag measurements were taken for a 5 cm diameter sphere in water at 20°C to...
Q3. Drag measurements were taken for a 5 cm diameter sphere in water at 20°C to predict the drag force of a 1 m diameter balloon rising in air with standard temperature and pressure. Given kinematic viscosity of water (v) = 10 X 106 m²/s and kinematic viscosity of air (v) = 1.46 X 10-5 m2/s. 1. Perform the Buckingham Pi theorem to generate a relationship for Fo as a function of the independent variables. Assume the drag Fo is...
The drag force Fp on a smooth sphere falling in water depends on the sphere speed...
The drag force Fp on a smooth sphere falling in water depends on
the sphere speed V, the sphere density P. the density p and dynamic
viscosity of water, the sphere diameter Dand the gravitational
acceleration g. Using dimensional analysis with p. V and D as
repeating variables, determine suitable dimensionless groups to
obtain a reneral relationship between the drag force and the other
variables. If the same sphere were to fall through air, determine
the ratio of the drag...
A one-third scale model of a car is to be tested in a wind tunnel. The...
A one-third scale model of a car is to be tested in a wind tunnel. The conditions of the actual car are v = 75 km/h and I = 0°C and the air temperature in the wind tunnel is 20°C. In order to achieve similarity between the model and the prototype, the wind tunnel velocity should be The properties of air at 1 atm and 0°C: mass density (p) = 1.292 kg/m3, kinematic viscosity (V) = 1.338x10-5 m2/5 The properties...
A model of a submarine is built to determine the drag force acting on its prototype
A model of a submarine is built to determine the drag force acting on its prototype. The length scale is 1/100, and the test is run in water at 20° C, with a speed of 8 m/s. Part A If the drag on the model is 25 N, determine the drag on the prototype if it runs in water at the same speed and temperature. This requires that the drag coefficient CD = 2FD/pV2L2 bethe same for both the model and the...
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,...
N5D.4 (e) and (f) both sides of the x component of Newton's second lav v, and take the indefinite integral of both sides.) Rich- N5D.4 We have seen that the drag force between a fluid and an...
N5D.4 (e) and (f)
both sides of the x component of Newton's second lav v, and take the indefinite integral of both sides.) Rich- N5D.4 We have seen that the drag force between a fluid and an object moving through that fluid is proportional to 2 if the object is big and/or fast and/or the fluid is not a m ery viscous but is proportional to löl if the object is small Slo At kin d/or slow and/or the fluid...
Fluid Mechanics Please Help! Problem 4. Suppose you are designing a torpedo and are interested in...
Fluid Mechanics Please Help!
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 a'a/3, what should be the model ρ, μ...
The aerodynamic behavior of a flying insect is to investigate in a water tunnel using a...
The aerodynamic behavior of a flying insect is to investigate in a water tunnel using a 10X scale model. The lift force F is believed to be a function of wing size L, flight speed u, flapping frequency w, fluid density p, and fluid viscosity u. Assume that air has a density 1/1000th and a dynamic viscosity 1/100that of water. List all parameters, n. List all primary dimensions, r. Find all dimensionless parameters. (Hint: Buckingham 1 Theorem) Assuming the insect...
(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...
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...
Q3. Drag measurements were taken for a 5 cm diameter sphere in water at 20°C to predict the drag force of a 1 m diameter balloon rising in air with standard temperature and pressure. Given kinematic viscosity of water (v) = 10 X 106 m²/s and kinematic viscosity of air (v) = 1.46 X 10-5 m2/s. 1. Perform the Buckingham Pi theorem to generate a relationship for Fo as a function of the independent variables. Assume the drag Fo is...
The drag force Fp on a smooth sphere falling in water depends on
the sphere speed V, the sphere density P. the density p and dynamic
viscosity of water, the sphere diameter Dand the gravitational
acceleration g. Using dimensional analysis with p. V and D as
repeating variables, determine suitable dimensionless groups to
obtain a reneral relationship between the drag force and the other
variables. If the same sphere were to fall through air, determine
the ratio of the drag...
A one-third scale model of a car is to be tested in a wind tunnel. The conditions of the actual car are v = 75 km/h and I = 0°C and the air temperature in the wind tunnel is 20°C. In order to achieve similarity between the model and the prototype, the wind tunnel velocity should be The properties of air at 1 atm and 0°C: mass density (p) = 1.292 kg/m3, kinematic viscosity (V) = 1.338x10-5 m2/5 The properties...
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,...
N5D.4 (e) and (f)
both sides of the x component of Newton's second lav v, and take the indefinite integral of both sides.) Rich- N5D.4 We have seen that the drag force between a fluid and an object moving through that fluid is proportional to 2 if the object is big and/or fast and/or the fluid is not a m ery viscous but is proportional to löl if the object is small Slo At kin d/or slow and/or the fluid...
Fluid Mechanics Please Help!
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 a'a/3, what should be the model ρ, μ...
The aerodynamic behavior of a flying insect is to investigate in a water tunnel using a 10X scale model. The lift force F is believed to be a function of wing size L, flight speed u, flapping frequency w, fluid density p, and fluid viscosity u. Assume that air has a density 1/1000th and a dynamic viscosity 1/100that of water. List all parameters, n. List all primary dimensions, r. Find all dimensionless parameters. (Hint: Buckingham 1 Theorem) Assuming the insect...
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