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.
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The pressure drop, P, for flow through an orifice plate is a
function of the orifice...
7. (10 points) The pressure drop, AP, for flow through an orifice plate is a function...
7. (10 points) The pressure drop, AP, for flow through an orifice plate is a function of the orifice diameter d, the pipe diameter D, fluid density, p, fluid viscosity, H, and average velocity, v. Use the method of repeating variables to determine the appropriate dimensionless relationship.
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...
Question The pressure drop Ap, along a straight pipe of diameter D has been experimentally studied,...
Question The pressure drop Ap, along a straight pipe of diameter D has been experimentally studied, and it is observed that for laminar flow of a given fluid and pipe, the pressure drop varies directly with the distance I, between pressure taps. Assume that Ap is a function of D and I, the velocity V, and the fluid viscosity H. Use dimensional analysis to deduce how pressure drop varies with pipe diameter. [Hint: Use the method of repeating variables, Ap...
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...
4. Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with...
4. Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary. The flow is steady, incompressible, and two-dimensional in the xy- plane. Use the method of repeating variables to generate a dimensionless relationship for the x component of fluid velocity u as a function of fluid viscosity , top plate speed V, distance h, fluid density p, and distance y Show all your work. Hint: u...
thermaldynamics and fluid mechanics Question 4 An orifice plate flow meter, as shown in figure Q4,...
thermaldynamics and fluid mechanics
Question 4 An orifice plate flow meter, as shown in figure Q4, is situated in a horizontal pipe of 95 cm diameter (d) in which water flows. The pressure difference between the vena contracta and flow upstream at point 1 is measured using a differential manometer. The diameter of the sharp-edged orifice (d.) is 35 cm. The coefficient of discharge for the flow meter is 0.7, and the coefficient of contraction is 0.62. Assume the density...
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.
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...
Q2: (20pts) Water flow in a pipe with an orifice inside where the diameter of the...
Q2: (20pts) Water flow in a pipe with an orifice inside where the diameter of the pipe is D=12cm and the diameter of the orifice is d=7cm. The flow rate is measured as 30L/s and the pressure difference between points A and B is 120kPa where the distance A-B is LAB=1.50m. Find the total force acting on the orifice plate. The density and viscosity of water are given as pw=1000kg/m and Uw=0.001kg/ms. Use the below given formula for the estimation...
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...
7. (10 points) The pressure drop, AP, for flow through an orifice plate is a function of the orifice diameter d, the pipe diameter D, fluid density, p, fluid viscosity, H, and average velocity, v. Use the method of repeating variables to determine the appropriate dimensionless relationship.
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...
Question The pressure drop Ap, along a straight pipe of diameter D has been experimentally studied, and it is observed that for laminar flow of a given fluid and pipe, the pressure drop varies directly with the distance I, between pressure taps. Assume that Ap is a function of D and I, the velocity V, and the fluid viscosity H. Use dimensional analysis to deduce how pressure drop varies with pipe diameter. [Hint: Use the method of repeating variables, Ap...
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...
4. Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary. The flow is steady, incompressible, and two-dimensional in the xy- plane. Use the method of repeating variables to generate a dimensionless relationship for the x component of fluid velocity u as a function of fluid viscosity , top plate speed V, distance h, fluid density p, and distance y Show all your work. Hint: u...
thermaldynamics and fluid mechanics
Question 4 An orifice plate flow meter, as shown in figure Q4, is situated in a horizontal pipe of 95 cm diameter (d) in which water flows. The pressure difference between the vena contracta and flow upstream at point 1 is measured using a differential manometer. The diameter of the sharp-edged orifice (d.) is 35 cm. The coefficient of discharge for the flow meter is 0.7, and the coefficient of contraction is 0.62. Assume the density...
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.
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...
Q2: (20pts) Water flow in a pipe with an orifice inside where the diameter of the pipe is D=12cm and the diameter of the orifice is d=7cm. The flow rate is measured as 30L/s and the pressure difference between points A and B is 120kPa where the distance A-B is LAB=1.50m. Find the total force acting on the orifice plate. The density and viscosity of water are given as pw=1000kg/m and Uw=0.001kg/ms. Use the below given formula for the estimation...
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...
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