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2. The wing on an aircraft is subjected to a drag F, created by airflow over...
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...
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance fr...
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance from the upstream end of the flat surface. (a) Use the given shear stress distribution, w(x), to determine the drag force on a flat plate of width W and length L in terms of W, L, V, p,...
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...
b. A very thin wing section is being tested in a low speed wind-tunnel. Assuming that...
b. A very thin wing section is being tested in a low speed wind-tunnel. Assuming that the flow on the surface of the wing produce a laminar boundary layer and the velocity profile is given as follows; Determine the theoretical value of; 8" where Rex is the Reynold number at a distance x from the leading edge of the wing, Rei is the Reynolds number at the trailing edge of the wing and Cr (or Cp) is the average skin...
(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...
Problem 2 (40%). While driving, some of a car's kinetic energy is lost to air drag....
Problem 2 (40%). While driving, some of a car's kinetic energy is lost to air drag. We would like to estimate the importance of air drag using dimensional analysis and the Buck- ingham a theorem. The relevant parameters are the drag force (FD), the frontal surface area (A) and velocity of the car (v), as well as the density of air (Pair = 1 kg/m3). Answer the following questions: 1. Derive the expression of the drag force as a function...
Density p [kg/m2], viscosity - u [kg/ms], surface tension - o (N/m=kg/s2] compressibility K [Pa-kg/ms2] 1. For particle...
Density p [kg/m2], viscosity - u [kg/ms], surface tension - o (N/m=kg/s2] compressibility K [Pa-kg/ms2] 1. For particles settling in a stationary fluid it is thought that the drag force FD of a small sphere is a function of the settling velocity of the sphere - V, the diameter of the sphere - d, and the density p, and viscosity of the fluid - . Determine the dimensionless relationship(s) between these variables (FD/HVd, pdV/H) 2. (a) The efficiency of a...
please help Question 1 1.1 If the velocity distribution of a fluid flowing over a 1m²...
please help
Question 1 1.1 If the velocity distribution of a fluid flowing over a 1m² flat plate is given by u=l+ y + y, find the m. Assume dynamic viscosity to be y=6x10*(Ns/m”). force acting on a plate at y = [5 marks] 1.2 A 2D velocity field in an incompressible flow was measured by PIV method and determined to follow the following functions u= 2x’ +2y and v=x - 4y. Check whether your measurements are correct at a...
2. (25 pts) Engine oil flows with a velocity of 6 m/s over a flat plate...
2. (25 pts) Engine oil flows with a velocity of 6 m/s over a flat plate having 1m length and 1 m width. The oil has a free stream temperature To= 80 °C and the plate surface temperature is maintained at Ts = 0 °C. a. Determine whether the flow over the plate transitions to turbulent regime. b. Calculate the average friction factor and the average heat transfer coefficient for the plate by using the appropriate correlations. c. Calculate the...
2. (1) An aircraft is flying directly over the North Magnetic pole with a velocity V....
2. (1) An aircraft is flying directly over the North Magnetic pole with a velocity V. The aircraft is pictured below as it would be viewed from above. What is the direction of the induced emf (voltage) on the wing? is this from P to or Q to P2. Draw the + and at the P and Qsides and explain. f ..P.. (11) A conducting loop of wire is horizontal. A bar magnet is pushed toward the loop from below,...
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...
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance from the upstream end of the flat surface. (a) Use the given shear stress distribution, w(x), to determine the drag force on a flat plate of width W and length L in terms of W, L, V, p,...
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...
b. A very thin wing section is being tested in a low speed wind-tunnel. Assuming that the flow on the surface of the wing produce a laminar boundary layer and the velocity profile is given as follows; Determine the theoretical value of; 8" where Rex is the Reynold number at a distance x from the leading edge of the wing, Rei is the Reynolds number at the trailing edge of the wing and Cr (or Cp) is the average skin...
(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...
Problem 2 (40%). While driving, some of a car's kinetic energy is lost to air drag. We would like to estimate the importance of air drag using dimensional analysis and the Buck- ingham a theorem. The relevant parameters are the drag force (FD), the frontal surface area (A) and velocity of the car (v), as well as the density of air (Pair = 1 kg/m3). Answer the following questions: 1. Derive the expression of the drag force as a function...
Density p [kg/m2], viscosity - u [kg/ms], surface tension - o (N/m=kg/s2] compressibility K [Pa-kg/ms2] 1. For particles settling in a stationary fluid it is thought that the drag force FD of a small sphere is a function of the settling velocity of the sphere - V, the diameter of the sphere - d, and the density p, and viscosity of the fluid - . Determine the dimensionless relationship(s) between these variables (FD/HVd, pdV/H) 2. (a) The efficiency of a...
please help
Question 1 1.1 If the velocity distribution of a fluid flowing over a 1m² flat plate is given by u=l+ y + y, find the m. Assume dynamic viscosity to be y=6x10*(Ns/m”). force acting on a plate at y = [5 marks] 1.2 A 2D velocity field in an incompressible flow was measured by PIV method and determined to follow the following functions u= 2x’ +2y and v=x - 4y. Check whether your measurements are correct at a...
2. (25 pts) Engine oil flows with a velocity of 6 m/s over a flat plate having 1m length and 1 m width. The oil has a free stream temperature To= 80 °C and the plate surface temperature is maintained at Ts = 0 °C. a. Determine whether the flow over the plate transitions to turbulent regime. b. Calculate the average friction factor and the average heat transfer coefficient for the plate by using the appropriate correlations. c. Calculate the...
2. (1) An aircraft is flying directly over the North Magnetic pole with a velocity V. The aircraft is pictured below as it would be viewed from above. What is the direction of the induced emf (voltage) on the wing? is this from P to or Q to P2. Draw the + and at the P and Qsides and explain. f ..P.. (11) A conducting loop of wire is horizontal. A bar magnet is pushed toward the loop from below,...
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