Which of the following are acceptable Pi terms for the dimensional relationship where ?p is a...
Which of the following are acceptable Pi terms for the dimensional relationship
where ?p is a pressure difference, D is a diameter, V is a velocity, and ? and ? are the fluid density and viscosity? Can select multiple answers.
| a) |  |
| b) |  |
| c) |  |
| d) |  |
Homework Answers
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Which of the following are acceptable Pi terms for the
dimensional relationship
where ?p is a...
help An impeller is a rotor used to increase the pressure and flow of a fluid....
help
An impeller is a rotor used to increase the pressure and flow of a fluid. For an isolated rotating impeller the required torque, T can be described by diameter of impeller D, density of fluid p, dynamic viscosity of the fluid u and angular velocity of the impeller w. By using Buckingham Pi Theorem (dimensional groups theorem), determine the dimensionless relationship between Torque and other parameters. Show that nondimensional parameters that you find. NOTE: Use a length, a density...
The pressure drop, P, for flow through an orifice plate is a function of the orifice...
The pressure drop, P, for flow through an orifice plate is a function of the orifice diameter d, the pipe diameter D, fluid density, , fluid viscosity, , and average velocity, v. Use the method of repeating variables to determine the appropriate dimensionless relationship.
The pump process can be described by three r terms as ΔΙ1D where P = power (FLT-1), ρ = density o...
The pump process can be described by three r terms as ΔΙ1D where P = power (FLT-1), ρ = density of the fluid (FL-4T2), N-angular speed of the rotor (T-1), D = diameter of the rotor (L), Δ11D = Head (L), Q = volume flow rate (L3T", The relationship in dimensional form would be expressed as P = φ(p, D, N, ΔΙΌ.Q) Using the Buckingham π-theorem, obtain the first and the third π-terms of the non-dimensional relationship. Use ρ, D,...
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...
A given problem to be solved using dimensional analysis consists of the following assumed functional relationship:...
A given problem to be solved using dimensional analysis consists of the following assumed functional relationship: power, Po, is assumed to be a function of velocity, V, size L, viscosity, density, and rotational frequency of the flow machine delivering the power, w. Based on this determine the needed number of Pi groups o 2. 3 O 6 c 4
Could you write down the answer legible please i cannot read most of the answer sheets....
Could you write down the answer legible please i cannot read
most of the answer sheets. Thank you in advance, professor.
Flow over a cylinder can generate a Karman Vortex street under certain conditions. By using Buckingham Pi theorem for the dimensional parameters given below, find a relation for the vortex shedding in terms of the nondimensional numbers that you determine. Dimensional Parameters: Vortex shedding frequency f Freestream velocity, V Fluid density, P Fluid viscosity u Cylinder diameter, D
Question 1: Derive an expression for the shear stress at the pipe wall when an incompressible...
Question 1: Derive an expression for the shear stress at the pipe wall when an incompressible fluid flows through a pipe under pressure. Use dimensional analysis with the following significant parameters: pipe diameter D, flow velocity V, fluid viscosity u and density, p of the fluid.
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
Using dimensional analysis, express the characteristic length, velocity and time scales for near-wall flow in terms...
Using dimensional analysis, express the characteristic length, velocity and time scales for near-wall flow in terms of the density, viscosity and wall shear-stress. Show that the length scale can also be expressed as where v is the kinematic ur viscosity and u, is the friction velocity.
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...
help
An impeller is a rotor used to increase the pressure and flow of a fluid. For an isolated rotating impeller the required torque, T can be described by diameter of impeller D, density of fluid p, dynamic viscosity of the fluid u and angular velocity of the impeller w. By using Buckingham Pi Theorem (dimensional groups theorem), determine the dimensionless relationship between Torque and other parameters. Show that nondimensional parameters that you find. NOTE: Use a length, a density...
The pump process can be described by three r terms as ΔΙ1D where P = power (FLT-1), ρ = density of the fluid (FL-4T2), N-angular speed of the rotor (T-1), D = diameter of the rotor (L), Δ11D = Head (L), Q = volume flow rate (L3T", The relationship in dimensional form would be expressed as P = φ(p, D, N, ΔΙΌ.Q) Using the Buckingham π-theorem, obtain the first and the third π-terms of the non-dimensional relationship. Use ρ, D,...
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...
A given problem to be solved using dimensional analysis consists of the following assumed functional relationship: power, Po, is assumed to be a function of velocity, V, size L, viscosity, density, and rotational frequency of the flow machine delivering the power, w. Based on this determine the needed number of Pi groups o 2. 3 O 6 c 4
Could you write down the answer legible please i cannot read
most of the answer sheets. Thank you in advance, professor.
Flow over a cylinder can generate a Karman Vortex street under certain conditions. By using Buckingham Pi theorem for the dimensional parameters given below, find a relation for the vortex shedding in terms of the nondimensional numbers that you determine. Dimensional Parameters: Vortex shedding frequency f Freestream velocity, V Fluid density, P Fluid viscosity u Cylinder diameter, D
Question 1: Derive an expression for the shear stress at the pipe wall when an incompressible fluid flows through a pipe under pressure. Use dimensional analysis with the following significant parameters: pipe diameter D, flow velocity V, fluid viscosity u and density, p of the fluid.
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
Using dimensional analysis, express the characteristic length, velocity and time scales for near-wall flow in terms of the density, viscosity and wall shear-stress. Show that the length scale can also be expressed as where v is the kinematic ur viscosity and u, is the friction velocity.
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...
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