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The time needed for a solvent to drain from a pipette is a function of the...
please show the steps and formula ! #2 in the pipe flow problem, the key flow...
please show the steps and formula !
#2 in the pipe flow problem, the key flow parameters are Ap pressure drop, p density, Vavg averaged velocity, u viscosity, L pipe length, and D pipe diameter. Use the Buckingham Pi method to determine the number of dimensionless groups and the dimensionless groups. Check those group to show that they are dimensionless.
H11.2 At a sudden contraction in a pipe the diameter changes from Dito D2. The pressure...
H11.2 At a sudden contraction in a pipe the diameter changes from Dito D2. The pressure drop, Ap, which develops across the contraction is a function of D, and D2, as well as the velocity, V, in the larger pipe, and the fluid density, P, and viscosity, u. a) Why shouldn't you choose both D, and D2 as repeating variables? b) Use D, V, and u as repeating variables to determine a suitable set of dimensionless parameters using the Buckingham...
need help with fluid mechanics problem Name: 4. (15 pts) Wind blowing past a flag cuses it to"ap in the breeze. The flapping frequency is assumed to be a function of the wind speed V, air dens...
need help with fluid mechanics problem
Name: 4. (15 pts) Wind blowing past a flag cuses it to"ap in the breeze. The flapping frequency is assumed to be a function of the wind speed V, air density p gravitational acceleration g, length of the flag I, and the area density" pa (which has dimensions M/L2) of the flag material Using the Buckingham Pi theorem with V, p, and Las your repeating variables, determine the relevant dimensionless groups. Nate. You must...
1. (4 pts.) A large tank of diameter D is drained under the action of gravity...
1. (4 pts.) A large tank of diameter D is drained under the action of gravity through a hole of diameter d in its bottom. Of interest is the time it takes the tank to drain completely. diameter D An experimentalist wishing to model this system with a smaller tank has determined that the time ? that it will take to drain the tank is a function of the initial liquid depth ho, the diameters, D and d, the gravitational...
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...
H11.2 Water flows over a dam as illustrated in the figure. Assume the flowrate, q, per...
H11.2 Water flows over a dam as illustrated in the figure. Assume the flowrate, q, per unit length along the dam depends on the head, H, width, b, acceleration of gravity, g, fluid density, r, and fluid viscosity, u. a) Why shouldn't you choose both H and b as repeating variables? b) Develop a suitable set of dimensionless parameters using the Buckingham Pi method and the FLT system for this problem using b, g, and p as repeating variables. Governing...
1) The convection coefficient, (h) for external convection heat transfer depends on the following (with units...
1) The convection coefficient, (h) for external convection heat transfer depends on the following (with units in SI of Watts/(m2 Kelvin): The characteristic length, L The fluid thermal conductivity, k The average fluid velocity, V The fluid viscosity, μ The fluid density, ρ The fluid specific heat, cp Using the Buckingham Pi Theorem, determine a set of dimensionless groups that can be used to correlate test data for this problem. Please show all of your work for this problem (i.e....
(25pts) In studying sand transport by ocean waves, it was postulated that the threshold wave-induced bottom...
(25pts) In studying sand transport by ocean waves, it was postulated that the threshold wave-induced bottom shear stress t required to move particles depends on gravity g, particle size d, particle density Pp , water viscosity u and water density p. Find all the dimensionless, i.e., pi groups for this problem. Consider p, g, d as repeating variables. Write all the quantities in terms of the primary dimensions, i.e. M, L, T. For example, the dimension of viscosity u is...
Buckingham Pi Theorem Class Problem #3 A model propeller is being tested to determine thrust characteristics....
Buckingham Pi Theorem Class Problem #3 A model propeller is being tested to determine thrust characteristics. The variables that are deemed important to the analysis are thrust, T, density, ρ, rotational speed ω, speed of advance, V, propeller diameter, d, shaft depth ,h and viscosity, H. Find the non-dimensionless groups that define this experiment. Hint: Dimensions of thrust are ML/T2
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.
please show the steps and formula !
#2 in the pipe flow problem, the key flow parameters are Ap pressure drop, p density, Vavg averaged velocity, u viscosity, L pipe length, and D pipe diameter. Use the Buckingham Pi method to determine the number of dimensionless groups and the dimensionless groups. Check those group to show that they are dimensionless.
H11.2 At a sudden contraction in a pipe the diameter changes from Dito D2. The pressure drop, Ap, which develops across the contraction is a function of D, and D2, as well as the velocity, V, in the larger pipe, and the fluid density, P, and viscosity, u. a) Why shouldn't you choose both D, and D2 as repeating variables? b) Use D, V, and u as repeating variables to determine a suitable set of dimensionless parameters using the Buckingham...
need help with fluid mechanics problem
Name: 4. (15 pts) Wind blowing past a flag cuses it to"ap in the breeze. The flapping frequency is assumed to be a function of the wind speed V, air density p gravitational acceleration g, length of the flag I, and the area density" pa (which has dimensions M/L2) of the flag material Using the Buckingham Pi theorem with V, p, and Las your repeating variables, determine the relevant dimensionless groups. Nate. You must...
1. (4 pts.) A large tank of diameter D is drained under the action of gravity through a hole of diameter d in its bottom. Of interest is the time it takes the tank to drain completely. diameter D An experimentalist wishing to model this system with a smaller tank has determined that the time ? that it will take to drain the tank is a function of the initial liquid depth ho, the diameters, D and d, the gravitational...
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...
H11.2 Water flows over a dam as illustrated in the figure. Assume the flowrate, q, per unit length along the dam depends on the head, H, width, b, acceleration of gravity, g, fluid density, r, and fluid viscosity, u. a) Why shouldn't you choose both H and b as repeating variables? b) Develop a suitable set of dimensionless parameters using the Buckingham Pi method and the FLT system for this problem using b, g, and p as repeating variables. Governing...
1) The convection coefficient, (h) for external convection heat transfer depends on the following (with units in SI of Watts/(m2 Kelvin): The characteristic length, L The fluid thermal conductivity, k The average fluid velocity, V The fluid viscosity, μ The fluid density, ρ The fluid specific heat, cp Using the Buckingham Pi Theorem, determine a set of dimensionless groups that can be used to correlate test data for this problem. Please show all of your work for this problem (i.e....
(25pts) In studying sand transport by ocean waves, it was postulated that the threshold wave-induced bottom shear stress t required to move particles depends on gravity g, particle size d, particle density Pp , water viscosity u and water density p. Find all the dimensionless, i.e., pi groups for this problem. Consider p, g, d as repeating variables. Write all the quantities in terms of the primary dimensions, i.e. M, L, T. For example, the dimension of viscosity u is...
Buckingham Pi Theorem Class Problem #3 A model propeller is being tested to determine thrust characteristics. The variables that are deemed important to the analysis are thrust, T, density, ρ, rotational speed ω, speed of advance, V, propeller diameter, d, shaft depth ,h and viscosity, H. Find the non-dimensionless groups that define this experiment. Hint: Dimensions of thrust are ML/T2
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