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Question

Fluid Mechanics and Thermal Sciences Question on Basics of compressible fluid flow

In the pipe network shown in the figure, all pipes have the same cross-section and can be assumed to have the same friction factor. The pipes connecting points W, N, and S with point J have an equal length L. The pipe connecting points J and E has a length 10L. The pressures at the ends N, E, and S are equal. The flow rate in the pipe connecting W and J is Q. Assume that the fluid flow is steady, incompressible, and the pressure losses at the pipe entrance and junction are negligible. Consider the following statements:
I: The flow rate in pipe connecting J and E is Q21\frac{Q}{21}.
II: The pressure difference between J and N is equal to the pressure difference between J and E.
Which one of the following options is CORRECT?
pipe network shown in the figure, all pipes have the same cross-section

A

I is True and II is False

B

I is False and II is True

C

Both I and II are True

D

Both I and II are False

Answer

Both I and II are True

Explanation

Solution

The correct option is (C): Both I and II are True