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Starting from the expression for the flow rate in a pipe, Q. for incompressible fluid: Q=T...
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.
4. Consider upwards, laminar flow in a vertical pipe of length L. (a) Starting with the...
4. Consider upwards, laminar flow in a vertical pipe of length L. (a) Starting with the NS equations given in 6.128 c. simplify the eq'ns, state the BCs in the coordinate system shown, solve for vír), wall shear stress tw, and the average flow speed V=Q/rR; (b) rearrange your result into the form , like EB CV relation, (AP/pg +1)=f* (LD)V/(29) for arbitrary length L, and show that the friction factor f= C2/Rc and evaluate C2 as a number. Follow...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length L and radius R. Initially the fluid is in rest. At t=0, a pressure difference of AP is applied across the pipe length which induces the fluid flow in axial direction (V2) Only varies with time (t) and pipe radius (r). There is no effect of gravity. To describe the fluid flow characteristics, after the pressure gradient is applied, answer the following questions: a)...
105. When an incompressible fluid flows steadily through a round pipe, the pressure drop AP due...
105. When an incompressible fluid flows steadily through a round pipe, the pressure drop AP due to friction is given by where ? is the fluid density, Vis the velocity, L/D is the pipe length-to- diameter ratio, and f is the D'Arcy friction coefficient. For laminar flow, the friction coefficient f can be related to the Reynolds number, Re, by a relationship of the form ??? Use the measured data in Table 5 to determine a and b by a...
Please Show work Assume that the wall shear stress, Tw, created when a fluid flows through...
Please Show work
Assume that the wall shear stress, Tw, created when a fluid flows through a pipe (see Figure a) depends on the pipe diameter, D, the flowrate, Q, the fluid density, p, and the kinematic viscosity, U. Some model tests run in a laboratory using water in a 0.2-ft-diameter pipe yield the vs. Q data shown in Figure b. Perform a dimensional analysis and use model data to predict the wall shear stress in a 0.5-ft-diameter pipe through...
I will rate, thank you! A horizontal pipe is shown in the figure below. At the...
I will rate, thank you!
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius of the pipe is 4 cm and the velocity profile is given by: v = 16- y2 cm/s. At the outlet (Point 2), the radius is 2 cm and the velocity changes to a uniform profile, as shown in the figure. If the viscosity of the liquid inside the pipe is 0.01 [Pa s) and its density is 900...
C) In compressible fluid flow through a smooth pipe with diameter d and constant volume flux...
C) In compressible fluid flow through a smooth pipe with diameter d and constant volume flux V 1. Estimate the viscous sublayer thickness. 2. Calculate the wall shear stress 3. Give the value of turbulent shear stress at the wall and at the pipe center. V-0.07854 m'/s, d-0.1m, V- 0.000001 m'/s, p- 1000kg/m3 Use the Prandtl equation to determine the friction factor
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance fr...
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance from the upstream end of the flat surface. (a) Use the given shear stress distribution, w(x), to determine the drag force on a flat plate of width W and length L in terms of W, L, V, p,...
In fluid flow problems, the flow velocity in a long horizontal pipe depends on the pipe...
In fluid flow problems, the flow velocity in a long horizontal pipe depends on the pipe material, pipe geometry and fluid properties in addition to the pump power. For a horizontal pipe with a pump, the friction factor can be obtained from many correlations such as Colebrook-White Equation: 1.1098 :-2 log 3.7065 r) 5.0452 -log Re +5.8506 (Re) -0.8981 -) 2.8257 (1) In which, fis the friction factor and is the roughness ratio given by: given by: PDV Re Where...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so that there are two outlets (see Fig. 1). Flow can be considered uniform and parallel to the walls when entering and exiting the pipe Inlet Pi Outlet ρ2 A2 p, Outlet Figure 1: Flow of fluid through a "T" -junction in a pipe, shown from above (not to scale) Part A (a) The Continuity equation, as given on the...
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.
4. Consider upwards, laminar flow in a vertical pipe of length L. (a) Starting with the NS equations given in 6.128 c. simplify the eq'ns, state the BCs in the coordinate system shown, solve for vír), wall shear stress tw, and the average flow speed V=Q/rR; (b) rearrange your result into the form , like EB CV relation, (AP/pg +1)=f* (LD)V/(29) for arbitrary length L, and show that the friction factor f= C2/Rc and evaluate C2 as a number. Follow...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length L and radius R. Initially the fluid is in rest. At t=0, a pressure difference of AP is applied across the pipe length which induces the fluid flow in axial direction (V2) Only varies with time (t) and pipe radius (r). There is no effect of gravity. To describe the fluid flow characteristics, after the pressure gradient is applied, answer the following questions: a)...
105. When an incompressible fluid flows steadily through a round pipe, the pressure drop AP due to friction is given by where ? is the fluid density, Vis the velocity, L/D is the pipe length-to- diameter ratio, and f is the D'Arcy friction coefficient. For laminar flow, the friction coefficient f can be related to the Reynolds number, Re, by a relationship of the form ??? Use the measured data in Table 5 to determine a and b by a...
Please Show work
Assume that the wall shear stress, Tw, created when a fluid flows through a pipe (see Figure a) depends on the pipe diameter, D, the flowrate, Q, the fluid density, p, and the kinematic viscosity, U. Some model tests run in a laboratory using water in a 0.2-ft-diameter pipe yield the vs. Q data shown in Figure b. Perform a dimensional analysis and use model data to predict the wall shear stress in a 0.5-ft-diameter pipe through...
I will rate, thank you!
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius of the pipe is 4 cm and the velocity profile is given by: v = 16- y2 cm/s. At the outlet (Point 2), the radius is 2 cm and the velocity changes to a uniform profile, as shown in the figure. If the viscosity of the liquid inside the pipe is 0.01 [Pa s) and its density is 900...
C) In compressible fluid flow through a smooth pipe with diameter d and constant volume flux V 1. Estimate the viscous sublayer thickness. 2. Calculate the wall shear stress 3. Give the value of turbulent shear stress at the wall and at the pipe center. V-0.07854 m'/s, d-0.1m, V- 0.000001 m'/s, p- 1000kg/m3 Use the Prandtl equation to determine the friction factor
10.13. The shear stress, Tw, on a flat surface that is caused by a fluid of density p and vis- cosity u flowing over the surface at a velocity V is given by where Re,- V Re where r is the distance from the upstream end of the flat surface. (a) Use the given shear stress distribution, w(x), to determine the drag force on a flat plate of width W and length L in terms of W, L, V, p,...
In fluid flow problems, the flow velocity in a long horizontal pipe depends on the pipe material, pipe geometry and fluid properties in addition to the pump power. For a horizontal pipe with a pump, the friction factor can be obtained from many correlations such as Colebrook-White Equation: 1.1098 :-2 log 3.7065 r) 5.0452 -log Re +5.8506 (Re) -0.8981 -) 2.8257 (1) In which, fis the friction factor and is the roughness ratio given by: given by: PDV Re Where...
Problem 3. Consider a pipe containing a steadily flowing inviscid fluid. It has one inlet and branches into two arms so that there are two outlets (see Fig. 1). Flow can be considered uniform and parallel to the walls when entering and exiting the pipe Inlet Pi Outlet ρ2 A2 p, Outlet Figure 1: Flow of fluid through a "T" -junction in a pipe, shown from above (not to scale) Part A (a) The Continuity equation, as given on the...
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