Question

What type of flow can be taken for granted in a pipe of uniform cross section?

Answer 1

Answer: Uniform

Explanation:

According to the continuity equation, ρAV =constant, where ρ= density, A= cross-sectional area of flow, V = velocity of flow. For a pipe of a uniform cross-section, no matter what the rate of flow is, the velocity of flow inside the pipe will always remain constant. Hence, it’ll always be a uniform flow. It’ll be a steady flow if and only if the water level is maintained at a constant level by supplying water at the same rate as it gets discharged, else the water level will keep decreasing with time leading to an unsteady flow.

Answer 2

In a pipe of uniform cross section, the flow will be taken to be uniform.

Explanation:

• The type of flow through a pipe can be determined by its area of cross-section.
• If the area of the cross-section of a pipe is uniform, the flow through that pipe will also be uniform irrespective of the nature of the flow.
• In a pipe of uniform cross-sectional area, the velocity of the flow always remains uniform.
• If the velocity remains uniform, then the flow will also remain uniform.
• The flow will be steady only if the level of water is maintained at a constant level.
• It can be done by supplying water at the same rate at which it is discharged.
• If the rate will not be the same, the level of water will keep on decreasing and the flow of water will become unsteady.

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