For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?

Question

For steady flow of a viscous incompressible fluid through a circular pipe of constant diameter, the average velocity in the fully developed region is constant. Which one of the following statements about the average velocity in the developing region is TRUE?

It increases until the flow is fully developed
It is constant and is equal to the average velocity in the fully developed region
It decreases until the flow is fully developed
It is constant but is always lower than the average velocity in the fully developed region.

LohaHridoy

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2025-01-04 04:42

1 Answers

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AhmedNazir · Accepted Answer · 2022-09-04T04:29:57+06:00

Option 2 : It is constant and is equal to the average velocity in the fully developed region

Explanation:

As the pipe is of uniform diameter and the flow is steady incompressible, therefore the discharge remains constant at every section. As the diameter is constant, the avg. velocity is constant everywhere as shown in figure.

Average Velocity = Flow rate/ Cross-section Area

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