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Q1. The velocity v of a fluid beyond which streamline...
Q1. The velocity v of a fluid beyond which streamline flows, ceases and turbulence begins depending...
Q1. The velocity v of a fluid beyond which streamline flows, ceases and turbulence begins depending on the radius r of the tube, density p and viscosity n of the fluid. Using dimensions (dimensional analysis), obtain an expression which relates v. r, p and n. Hint: v « rpn => y = krapne mass volume distance force Velocity density viscosity time (area) [velocity gradient] velocity gradient velocity Using dimensional analysis, find the values of a, b and c. length
Q1. The velocity v of a fluid beyond which streamline flows, ceases and turbulence begins depending...
Q1. The velocity v of a fluid beyond which streamline flows, ceases and turbulence begins depending on the radius r of the tube, density p and viscosity n of the fluid. Using dimensions (dimensional analysis), obtain an expression which relates v, r, p and n. Hint: v o rpn => y = krºp nc distance mass volume 2 time Velocity density = force viscosity [area][velocity gradient]' velocity gradient = velocity Using dimensional analysis, find the values length of a, b...
Q1. The velocity v of a fluid beyond which streamline flows, ceases and turbulence begins depending...
Q1. The velocity v of a fluid beyond which streamline flows, ceases and turbulence begins depending on the radius r of the tube, density p and viscosity n of the fluid. Using dimensions (dimensional analysis), obtain an expression which relates v, r, p and n. Hint: => Using dimensional analysis, find the values of a, b and c.
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...
If a is acceleration, v is velocity, x is position, and t is time, then check the validity (wrong or correct) of the following equations using dimensional analysis: a) t2 = 2x/a b) t = x/v c) a = v/x d) v = a/t ALSO , The term 1/2 PV^2 rv2 occu
If a is acceleration, v is velocity, x is position, and t is time, then check the validity (wrong or correct) of the following equations using dimensional analysis: a) t2 = 2x/a b) t = x/v c) a = v/x d) v = a/t ALSO , The term 1/2 PV^2 rv2 occurs in Bernoulli’s equation in Chapter 15, with P being the density of a fluid and v its speed. Find the dimensions of 1/2 PV^2 Thank you in advance...
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...
Fluid Mechanics. Please answer as many as you can. Short answer questions 1) Explain the physical...
Fluid Mechanics. Please answer as many as you can.
Short answer questions 1) Explain the physical meaning of the acceleration term uVu, where u is the velocity vector in a fluid. 2) Name the two equations that are required to describe the flow of an inertial jet in an incompressible, unstratified fluid. 3) What is the “Continuum Hypothesis”? 4) Describe how a viscous boundary layer adjacent to a solid surface results in transfer of momentum to/from that surface. 5) What...
please solve (va20) for me thanks!! :) V VISCOUS FLOWS Page 38 nar flow between two infinite plates a distance h apart driven by a pressure gra- Va20. For lami dient, the velocity profile is [constan...
please solve (va20) for me thanks!! :)
V VISCOUS FLOWS Page 38 nar flow between two infinite plates a distance h apart driven by a pressure gra- Va20. For lami dient, the velocity profile is [constant] [linear] [parabolic] [hyperbolic] [elliptic] [error func- tion], and the flow rate Q is proportional to h to the power is driven by the top plate moving at a speed U in the absence of any pressure gradient, the velocity profile is [constant] linearl Iparabolic]...
please answer all questions and clearly thanks Q1 (a) For each statement, choose whether the statement...
please answer all questions and clearly thanks
Q1 (a) For each statement, choose whether the statement is true or false and discuss your answer briefly. (1) Kinematic similarity is a necessary and sufficient condition for dynamic similarity. (ii) Geometric similarity is a necessary condition for dynamic similarity. (iii) Geometric similarity is a necessary condition for kinematic similarity. (iv) Dynamic similarity is a necessary condition for kinematic similarity (8 marks) (b) Explain with THREE (3) examples of prototypes and their corresponding...
Example 1 A star undergoes some mode of oscillation. Scientists/engineers have hypothesized that the oscillation frequency...
Example 1 A star undergoes some mode of oscillation. Scientists/engineers have hypothesized that the oscillation frequency (cycles per second), o, is dependent on the density p and the radius R and the gravitational constant G which appears in Newton's law of universal gravitation. If you are not familiar with the gravitational constant, read the section on mass and weight in Chapter 4 (Dimensions/units) of the text. Therefore, w has dimensions (T), and P, R, Gare the governing parameters, with dimensions...
Q1. The velocity v of a fluid beyond which streamline flows, ceases and turbulence begins depending on the radius r of the tube, density p and viscosity n of the fluid. Using dimensions (dimensional analysis), obtain an expression which relates v. r, p and n. Hint: v « rpn => y = krapne mass volume distance force Velocity density viscosity time (area) [velocity gradient] velocity gradient velocity Using dimensional analysis, find the values of a, b and c. length
Q1. The velocity v of a fluid beyond which streamline flows, ceases and turbulence begins depending on the radius r of the tube, density p and viscosity n of the fluid. Using dimensions (dimensional analysis), obtain an expression which relates v, r, p and n. Hint: v o rpn => y = krºp nc distance mass volume 2 time Velocity density = force viscosity [area][velocity gradient]' velocity gradient = velocity Using dimensional analysis, find the values length of a, b...
Q1. The velocity v of a fluid beyond which streamline flows, ceases and turbulence begins depending on the radius r of the tube, density p and viscosity n of the fluid. Using dimensions (dimensional analysis), obtain an expression which relates v, r, p and n. Hint: => Using dimensional analysis, find the values of a, b and c.
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...
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...
Fluid Mechanics. Please answer as many as you can.
Short answer questions 1) Explain the physical meaning of the acceleration term uVu, where u is the velocity vector in a fluid. 2) Name the two equations that are required to describe the flow of an inertial jet in an incompressible, unstratified fluid. 3) What is the “Continuum Hypothesis”? 4) Describe how a viscous boundary layer adjacent to a solid surface results in transfer of momentum to/from that surface. 5) What...
please solve (va20) for me thanks!! :)
V VISCOUS FLOWS Page 38 nar flow between two infinite plates a distance h apart driven by a pressure gra- Va20. For lami dient, the velocity profile is [constant] [linear] [parabolic] [hyperbolic] [elliptic] [error func- tion], and the flow rate Q is proportional to h to the power is driven by the top plate moving at a speed U in the absence of any pressure gradient, the velocity profile is [constant] linearl Iparabolic]...
please answer all questions and clearly thanks
Q1 (a) For each statement, choose whether the statement is true or false and discuss your answer briefly. (1) Kinematic similarity is a necessary and sufficient condition for dynamic similarity. (ii) Geometric similarity is a necessary condition for dynamic similarity. (iii) Geometric similarity is a necessary condition for kinematic similarity. (iv) Dynamic similarity is a necessary condition for kinematic similarity (8 marks) (b) Explain with THREE (3) examples of prototypes and their corresponding...
Example 1 A star undergoes some mode of oscillation. Scientists/engineers have hypothesized that the oscillation frequency (cycles per second), o, is dependent on the density p and the radius R and the gravitational constant G which appears in Newton's law of universal gravitation. If you are not familiar with the gravitational constant, read the section on mass and weight in Chapter 4 (Dimensions/units) of the text. Therefore, w has dimensions (T), and P, R, Gare the governing parameters, with dimensions...
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