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value: 10.00 points and the centerline) is measured to be 35 m/s. Determine the velocity at...
In fully developed laminar flow in a circular pipe, the velocity at R/2 (midway between the...
In fully developed laminar flow in a circular pipe, the velocity at R/2 (midway between the wall surface and the centerline) is measured to be 91 m/s. Determine the velocity at the center of the pipe. The velocity at the center of the pipe m/s
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be...
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be one dimensional with a velocity profile given by u(r) = Umax(1 - 52/R2), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and Umax is the maximum flow velocity at the center of the pipe. a) Derive a relation for the drag force applied by the fluid on a section of the pipe of...
3. Water flowing through a pipe assumes a laminar-flow velocity profile at some section is parabolic:...
3. Water flowing through a pipe assumes a laminar-flow velocity profile at some section is parabolic: u(0) -4J Figure 2 where u(r) is the velocity at any position r, ß is a constant,-11s the viscosity of water, and r is the radial distance from the pipe centerline. (a) Develop an equation for u(r) assuming a parabolic velocity profile and using the known velocities at the walls u(ro)-0 and the center u(0) (Just use symbols). (b) Develop an equation for shear...
A 3-m-diameter tank is initially filled with water 2 m above the center of a sharp-edged 10-cm-diameter orifice. The tank water surface is open to the atmosphere, and the orifice drains t...
A 3-m-diameter tank is initially filled with water 2 m above the center of a sharp-edged 10-cm-diameter orifice. The tank water surface is open to the atmosphere, and the orifice drains to the atmosphere through a 100-m-long pipe. The friction coefficient of the pipe is taken to be 0.015 and the effect of the kinetic energy correction factor can be neglected. In order to drain the tank faster, a pump is installed near the tank exit. Water tank Pump 6...
5. In a fully developed fluid flow in a tube, which following statement(s) is(are) true(12 points):...
5. In a fully developed fluid flow in a tube, which following statement(s) is(are) true(12 points): a) the velocity profile varies with the axial distance z. b) the flow will change from laminar to turbulent flow c) The velocity gradient with respect to r (dv/dr) is zero at the centric line of the tube. d) The velocity is zero at the wall of the tube. Developing
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.
use table A-15 kinematic viscosity 6. Consider a 2-m long smooth cylindrical pipe of 5 cm...
use table A-15 kinematic viscosity
6. Consider a 2-m long smooth cylindrical pipe of 5 cm internal diameter, that is maintained at a constant surface temperature. Air flows through the tube at 0.5 m/s. Air enters the pipe at 20°C and leaves it at 60°C. Determine: (a) Is the flow laminar or turbulent? (b) Is the flow fully developed? (c) What Nu number correlation will you use to find h? Find Nu. (d) Find the convection heat transfer coefficient (h)...
QUESTION 3 a) The velocity of a fluid over a solid surface can be assumed to...
QUESTION 3 a) The velocity of a fluid over a solid surface can be assumed to obey the Prandtl power law as shown by the equation below. The equation shows that the velocity of the fluid varies with the thickness of boundary layer, 8. us Calculate the thickness of the laminar sub-layer when benzene flows through a pipe 50 mm in diameter at 2000 cm/s. What is the velocity of the benzene at the edge of the laminar sub-layer? Assume...
1. Water (at 70 o C) flows with a velocity of 1 m/s in a 2...
1. Water (at 70 o C) flows with a velocity of 1 m/s in a 2 cm diameter pipe. The pipe wall temperature is at 100 o C. (a) What is the heat transfer from the pipe wall to the fluid? (b) Determine the critical velocity at which the flow would be characterized as laminar and for this flow velocity calculate the heat transfer (c) Assume the diameter of the pipe is doubled while all other conditions remain the same....
3. Water flows at a uniform velocity of 1 em/s in a circular channel of diameter...
3. Water flows at a uniform velocity of 1 em/s in a circular channel of diameter 2 cm and length 2 m. A uniform heat flux of 10 W/m2 is supplied at the surface. Assume laminar flow and developed flow and temperature. (a) Calculate the variation of the mixing cup temperature with distance and the Nusselt number. (b) If the mixing cup temperature at the inlet is 22 oC, calculate the mixing cup and wall temperatures at the outlet? (e)...
In fully developed laminar flow in a circular pipe, the velocity at R/2 (midway between the wall surface and the centerline) is measured to be 91 m/s. Determine the velocity at the center of the pipe. The velocity at the center of the pipe m/s
2. (20 marks) The fully-developed, laminar fluid flow through a circular pipe is considered to be one dimensional with a velocity profile given by u(r) = Umax(1 - 52/R2), where R is the radius of the pipe, r is the radial distance from the center of the pipe, and Umax is the maximum flow velocity at the center of the pipe. a) Derive a relation for the drag force applied by the fluid on a section of the pipe of...
3. Water flowing through a pipe assumes a laminar-flow velocity profile at some section is parabolic: u(0) -4J Figure 2 where u(r) is the velocity at any position r, ß is a constant,-11s the viscosity of water, and r is the radial distance from the pipe centerline. (a) Develop an equation for u(r) assuming a parabolic velocity profile and using the known velocities at the walls u(ro)-0 and the center u(0) (Just use symbols). (b) Develop an equation for shear...
A 3-m-diameter tank is initially filled with water 2 m above the center of a sharp-edged 10-cm-diameter orifice. The tank water surface is open to the atmosphere, and the orifice drains to the atmosphere through a 100-m-long pipe. The friction coefficient of the pipe is taken to be 0.015 and the effect of the kinetic energy correction factor can be neglected. In order to drain the tank faster, a pump is installed near the tank exit. Water tank Pump 6...
5. In a fully developed fluid flow in a tube, which following statement(s) is(are) true(12 points): a) the velocity profile varies with the axial distance z. b) the flow will change from laminar to turbulent flow c) The velocity gradient with respect to r (dv/dr) is zero at the centric line of the tube. d) The velocity is zero at the wall of the tube. Developing
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.
use table A-15 kinematic viscosity
6. Consider a 2-m long smooth cylindrical pipe of 5 cm internal diameter, that is maintained at a constant surface temperature. Air flows through the tube at 0.5 m/s. Air enters the pipe at 20°C and leaves it at 60°C. Determine: (a) Is the flow laminar or turbulent? (b) Is the flow fully developed? (c) What Nu number correlation will you use to find h? Find Nu. (d) Find the convection heat transfer coefficient (h)...
QUESTION 3 a) The velocity of a fluid over a solid surface can be assumed to obey the Prandtl power law as shown by the equation below. The equation shows that the velocity of the fluid varies with the thickness of boundary layer, 8. us Calculate the thickness of the laminar sub-layer when benzene flows through a pipe 50 mm in diameter at 2000 cm/s. What is the velocity of the benzene at the edge of the laminar sub-layer? Assume...
3. Water flows at a uniform velocity of 1 em/s in a circular channel of diameter 2 cm and length 2 m. A uniform heat flux of 10 W/m2 is supplied at the surface. Assume laminar flow and developed flow and temperature. (a) Calculate the variation of the mixing cup temperature with distance and the Nusselt number. (b) If the mixing cup temperature at the inlet is 22 oC, calculate the mixing cup and wall temperatures at the outlet? (e)...
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