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H11.2 Water flows over a dam as illustrated in the figure. Assume the flowrate, q, per...
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...
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....
1. For the two-dimensional weir with a sharp crest shown in Figure 1, the equation for the flowrate per unit width, q, is given as 1) Applying the dimensional analysis, Buckingham theorem, show t...
1. For the two-dimensional weir with a sharp crest shown in Figure 1, the equation for the flowrate per unit width, q, is given as 1) Applying the dimensional analysis, Buckingham theorem, show that C.' is the function of Reynolds number (Re D), Weber number (We , and P/H as given by Eq. (2). Assume that independent variables for the two-dimensional weir problem are q, H, P, μ, σ and g 4,-viscosity of water; σ-surface tension; ρ water density, g-gravitational...
3. Water sloshes back and forth in a tank as shown on the following page. The...
3. Water sloshes back and forth in a tank as shown on the following page. The frequency of sloshing, o, is assumed to be a function of the acceleration of gravity, g, the average depth of the water, h, and the length of the tank, I. Develop a suitable set of dimensionless parameters for this problem using g and las repeating variables. We were unable to transcribe this image
Consider the draining problem of liquid water under gravity (g) from a cylindrical tank of diameter...
Consider the draining problem of liquid water under gravity (g) from a cylindrical tank of diameter D with initial water height of h, above the nozzle of a much smaller diameter d (see schematic below). The height h of the water free surface above the nozzle in the tank will drop with time t. The following functional form between h and t should exit, h= f(t,d,D,g,h.) You are asked to do the following: 2.1 Express each of the variables in...
could you help me with numbers 1-3 Question 1: Use the Repeating Method Only! Water sloshes...
could you help me with numbers 1-3
Question 1: Use the Repeating Method Only! Water sloshes back and forth in a tank as shown in the figure below. The frequency of sloshing. 6, is assumed to be a function of the acceleration of gravity. 8. the average depth of the water, h, and the length of the tank, C. Develop a suitable set of dimensionless parameters for this problem using g and l as repeating variables. Question 2, Flow with...
3. The discharge, Q (m'/s), over a notch depends on the head, H (m), the acceleration due to gravity, g (m/s), the density, p (kg/m), and the dynamic , (kg/ms). Using Buckhingham method, prove th...
3. The discharge, Q (m'/s), over a notch depends on the head, H (m), the acceleration due to gravity, g (m/s), the density, p (kg/m), and the dynamic , (kg/ms). Using Buckhingham method, prove that; 1 3 (Used : head, H; the acceleration due to gravity, g; and density,p as repeating variables) (16 Marks)
3. The discharge, Q (m'/s), over a notch depends on the head, H (m), the acceleration due to gravity, g (m/s), the density, p (kg/m), and...
b) The power input P to be a cerki fugal pump is assumed to be a...
b) The power input P to be a cerki fugal pump is assumed to be a function of the volume flow , impeller diometer D rotational rate , and the density and MJ CAST of the fluid. By using , and D as repeating von bles) develop this as a dimensionless relationship - d3 - A water solution entering the propeller in the pump produces thrust force, ft which is depending on the density, diameter ,d, the rotational speed, co...
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...
A bridge is supported by two types of rectangular cross-section piles shown in Figure I. The width of the piles...
A bridge is supported by two types of rectangular cross-section piles shown in Figure I. The width of the piles is w 0.5 m and their lengths are either li-2 m or l2 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2. located in a river as You are asked to perform dimensional analysis to find the drag force on the...
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...
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....
1. For the two-dimensional weir with a sharp crest shown in Figure 1, the equation for the flowrate per unit width, q, is given as 1) Applying the dimensional analysis, Buckingham theorem, show that C.' is the function of Reynolds number (Re D), Weber number (We , and P/H as given by Eq. (2). Assume that independent variables for the two-dimensional weir problem are q, H, P, μ, σ and g 4,-viscosity of water; σ-surface tension; ρ water density, g-gravitational...
3. Water sloshes back and forth in a tank as shown on the following page. The frequency of sloshing, o, is assumed to be a function of the acceleration of gravity, g, the average depth of the water, h, and the length of the tank, I. Develop a suitable set of dimensionless parameters for this problem using g and las repeating variables. We were unable to transcribe this image
Consider the draining problem of liquid water under gravity (g) from a cylindrical tank of diameter D with initial water height of h, above the nozzle of a much smaller diameter d (see schematic below). The height h of the water free surface above the nozzle in the tank will drop with time t. The following functional form between h and t should exit, h= f(t,d,D,g,h.) You are asked to do the following: 2.1 Express each of the variables in...
could you help me with numbers 1-3
Question 1: Use the Repeating Method Only! Water sloshes back and forth in a tank as shown in the figure below. The frequency of sloshing. 6, is assumed to be a function of the acceleration of gravity. 8. the average depth of the water, h, and the length of the tank, C. Develop a suitable set of dimensionless parameters for this problem using g and l as repeating variables. Question 2, Flow with...
3. The discharge, Q (m'/s), over a notch depends on the head, H (m), the acceleration due to gravity, g (m/s), the density, p (kg/m), and the dynamic , (kg/ms). Using Buckhingham method, prove that; 1 3 (Used : head, H; the acceleration due to gravity, g; and density,p as repeating variables) (16 Marks)
3. The discharge, Q (m'/s), over a notch depends on the head, H (m), the acceleration due to gravity, g (m/s), the density, p (kg/m), and...
b) The power input P to be a cerki fugal pump is assumed to be a function of the volume flow , impeller diometer D rotational rate , and the density and MJ CAST of the fluid. By using , and D as repeating von bles) develop this as a dimensionless relationship - d3 - A water solution entering the propeller in the pump produces thrust force, ft which is depending on the density, diameter ,d, the rotational speed, co...
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...
A bridge is supported by two types of rectangular cross-section piles shown in Figure I. The width of the piles is w 0.5 m and their lengths are either li-2 m or l2 2.5 m. The river of depth of about 20 m runs at 2 m/s. Water density is p 1000 kg/m and its absolute viscosity 1.00 x 10-3 N.s/m2. located in a river as You are asked to perform dimensional analysis to find the drag force on the...
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