1. flow through an expanding tube at an increasing rate
  2. flow through an expanding tube at constant rate
  3. flow through a long pipe at decreasing rate
  4. flow through a long pipe at constant rate
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1 Answers

Option 1 : flow through an expanding tube at an increasing rate

Explanation:

Unsteady uniform flow means

1. Flow is changing with time (unsteady)

2. Flow is not changing with respect to space (uniform)

Expanding Flow:

[ alt="F1 M.J Madhu 18.02.20 D4" src="//storage.googleapis.com/tb-img/production/20/02/F1_M.J_Madhu_18.02.20_D4.png" style="width: 313px; height: 89px;">

In the case of expanding pipe, it can be observed that velocity is different at points 1 and 2, so this is not a case of Uniform flow.

Flow-through long pipes:

[ alt="F1 M.J Madhu 18.02.20 D5" src="//storage.googleapis.com/tb-img/production/20/02/F1_M.J_Madhu_18.02.20_D5.png" style="width: 264px; height: 108px;">

In the case of flow-through long pipes where the cross-sectional area is uniform, the velocity of flow is not changing between two points 1 and 2 at a given time instant then it is the case of uniform flow, if the flow rate is increasing or decreasing the flow becomes unsteady.

Therefore flow through a long pipe at a decreasing rate will be unsteady uniform flow.

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