Question

Flow of fluid through a long pipe of constant diameter at a constant rate is

• A. Steady uniform flow
• B. Steady non-uniform flow
• C. Unsteady uniform flow
• D. Unsteady non-uniform flow

Hint:

Break down flow classification into two simple questions:
1. Is it changing with time? (Constant rate?) $\rightarrow$ No = Steady.
2. Is it changing with location? (Constant diameter?) $\rightarrow$ No = Uniform.

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
Constant flow rate, constant diameter long pipe. Classify flow.

Step 2: Key Classification (Alternate):
Constant rate → steady. Constant diameter → area constant, velocity constant along pipe → uniform.

Step 3: Detailed Explanation:
Steady: ∂/∂t=0. Uniform: ∂/∂x=0. Combined = steady uniform flow. Non-uniform would occur in tapering pipe or bend. Unsteady has time variation.

Step 4: Final Answer:
Steady uniform flow.