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In the case of turbulent flows in circular pipes, the maximum velocity um and the mean velocity V are related as (um - V)lu =
  • a)
    3.75 for rough boundary flow only
  • b)
    3.75 for smooth boundary flow only
  • c)
    3.75 for both rough and smooth boundaries
  • d)
    5.75 for both rough and smooth boundaries
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In the case of turbulent flows in circular pipes, the maximum velocity...
Turbulent flow
For smooth pipe,

Average velocity,

g0 = radius of pipe
y = distance measured from pipe boundary
u = shear velocity

from equation (i)

(iii) - (ii) gives
(b) Rough pipe

It gives,

same for both pipes rough or smooth
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Most Upvoted Answer
In the case of turbulent flows in circular pipes, the maximum velocity...
Relation between Maximum and Mean Velocity in Turbulent Flows in Circular Pipes

This question belongs to the Civil Engineering category and deals with turbulent flows in circular pipes. The question asks about the relation between the maximum velocity (um) and the mean velocity (V) in such flows.

Relation:

The maximum velocity (um) and the mean velocity (V) in turbulent flows in circular pipes are related as follows:

(um - V)lu = 3.75

Explanation:

- The term "um" refers to the maximum velocity in the flow.
- The term "V" refers to the mean velocity in the flow.
- The term "lu" refers to the friction factor of the flow.
- The constant value of 3.75 is applicable for both rough and smooth boundary flows.

Conclusion:

Thus, the correct answer to the question is option 'C' which states that the relation between the maximum velocity and the mean velocity in turbulent flows in circular pipes is (um - V)lu = 3.75 for both rough and smooth boundaries.
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In the case of turbulent flows in circular pipes, the maximum velocity um and the mean velocity V are related as (um - V)lu =a)3.75 for rough boundary flow onlyb)3.75 for smooth boundary flow onlyc)3.75 for both rough and smooth boundariesd)5.75 for both rough and smooth boundariesCorrect answer is option 'C'. Can you explain this answer?
Question Description
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