If the shear stress on the wall of a 30 cm pipe is 5 kg /...
Homework Answers
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.
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...
fundamental of fluid mechanics H.W: To design a circular pipe, determine the wall shear stress. Assume...
fundamental of fluid mechanics
H.W: To design a circular pipe, determine the wall shear stress. Assume the fluid is water at 60 F. Also find the force on a 100 length of pipe. -4P 22 2 -10
Question 3 [20 marks] Water (density p1000 kg/m2; dynamic viscosity 0.001 Pa-s) flows steadily through a horizontal, st...
Question 3 [20 marks] Water (density p1000 kg/m2; dynamic viscosity 0.001 Pa-s) flows steadily through a horizontal, straight pipe with circular cross section of diameter D=0.2 m. The volumetric flow rate is 0.01 m°/s. Argue that this is turbulent flow. [4 marksl а. Pressure drop in the pipe is due to friction. The pressure drop per unit length can be written as Др 4f L with U the average velocity in the pipe and fthe friction factor. Given the pipe...
5.16. Water is flowing in a 3-cm-diameter pipe at an average velocity of Uav 2 m/s....
5.16. Water is flowing in a 3-cm-diameter pipe at an average velocity of Uav 2 m/s. Assuming water density of ρ-1000 kg/m 3 and viscosity μ-10-3 N s'm2, calculate the velocity at the center of the pipe, the shear τ at the wall, and the Reynolds number. Assuming laminar flow, calculate friction coefficient C and pressure drop dp/dx.
Problem #6 Water flows upward through a vertically positioned pipe measuring 3 cm in diameter. Wall...
Problem #6 Water flows upward through a vertically positioned pipe measuring 3 cm in diameter. Wall shear stress on the pipe is 2 N/m2 . Calculate the pressure drop across 1 m length of the pipe.
Consider a 30 m long pipe with a diameter of 1 cm and with a smooth interior wall surface. The pipe wall temperat...
Consider a 30 m long pipe with a diameter of 1 cm and with a smooth interior wall surface. The pipe wall temperature is kept constant at 60 C. (a) Some liquid enters the pipe with a tempera- ture of 20° C and exits the pipe with a mix- ing cup (bulk) temperature of 57°C. Know- ing that the mass flow rate of the liquid is of 0.015 kg/s, that the liquid density is of 1000 kg/m 3, that the...
H2.3 Consider water at 20°C flowing through a horizontal pipe of diameter 15 cm and length 10 m. ...
H2.3 Consider water at 20°C flowing through a horizontal pipe of diameter 15 cm and length 10 m. The flowrate is 0.021 m3/s and the wall shear stress is 5.76 N/m2. Assume fully developed flow. a. Verify that the flow is turbulent b. Determine the pressure drop [N/m2 c. Estimate the viscous sublayer thickness [mm], i.e., where y+ 5 d. Compare results of part c. with typical pipe roughness (see Table 8.1 in text and comment on implication e. Using...
A horizontal pipe is shown in the figure below. At the inlet (Point 1), the radius...
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: 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 0.08 [Pa 8) and its density is 990 kg/m3, calculate: U= y y= 16 - y2...
1. Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed...
1. Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed as + For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given as 4wr -R)+ (r-R), where AP/L is the constant pressure drop along the pipe per unit length, is the dynamic viscosity,r is the radial distance from the centerline, and is the yield stress of Bingham plastic. Develop a relation for (a) the shear...
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.
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...
fundamental of fluid mechanics
H.W: To design a circular pipe, determine the wall shear stress. Assume the fluid is water at 60 F. Also find the force on a 100 length of pipe. -4P 22 2 -10
Question 3 [20 marks] Water (density p1000 kg/m2; dynamic viscosity 0.001 Pa-s) flows steadily through a horizontal, straight pipe with circular cross section of diameter D=0.2 m. The volumetric flow rate is 0.01 m°/s. Argue that this is turbulent flow. [4 marksl а. Pressure drop in the pipe is due to friction. The pressure drop per unit length can be written as Др 4f L with U the average velocity in the pipe and fthe friction factor. Given the pipe...
5.16. Water is flowing in a 3-cm-diameter pipe at an average velocity of Uav 2 m/s. Assuming water density of ρ-1000 kg/m 3 and viscosity μ-10-3 N s'm2, calculate the velocity at the center of the pipe, the shear τ at the wall, and the Reynolds number. Assuming laminar flow, calculate friction coefficient C and pressure drop dp/dx.
Consider a 30 m long pipe with a diameter of 1 cm and with a smooth interior wall surface. The pipe wall temperature is kept constant at 60 C. (a) Some liquid enters the pipe with a tempera- ture of 20° C and exits the pipe with a mix- ing cup (bulk) temperature of 57°C. Know- ing that the mass flow rate of the liquid is of 0.015 kg/s, that the liquid density is of 1000 kg/m 3, that the...
H2.3 Consider water at 20°C flowing through a horizontal pipe of diameter 15 cm and length 10 m. The flowrate is 0.021 m3/s and the wall shear stress is 5.76 N/m2. Assume fully developed flow. a. Verify that the flow is turbulent b. Determine the pressure drop [N/m2 c. Estimate the viscous sublayer thickness [mm], i.e., where y+ 5 d. Compare results of part c. with typical pipe roughness (see Table 8.1 in text and comment on implication e. Using...
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: 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 0.08 [Pa 8) and its density is 990 kg/m3, calculate: U= y y= 16 - y2...
1. Some non-Newtonian fluids behave as a Bingham plastic for which shear stress can be expressed as + For laminar flow of a Bingham plastic in a horizontal pipe of radius R, the velocity profile is given as 4wr -R)+ (r-R), where AP/L is the constant pressure drop along the pipe per unit length, is the dynamic viscosity,r is the radial distance from the centerline, and is the yield stress of Bingham plastic. Develop a relation for (a) the shear...
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