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The velocity profile for turbulent flow in a circular pipe

Chapter 5, Problem 84P

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QUESTION:

Problem 84P

The velocity profile for turbulent flow in a circular pipe is usually approximated as u(r)= umax ( l – r/R)1/n,where n =7. Determine the kinetic energy correction factor for this flow.

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QUESTION:

Problem 84P

The velocity profile for turbulent flow in a circular pipe is usually approximated as u(r)= umax ( l – r/R)1/n,where n =7. Determine the kinetic energy correction factor for this flow.

ANSWER:

Solution

Step 1

The velocity profile for turbulent flow in a circular pipe is. The kinetic energy correction factor is to be determined.

The velocity equation is

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