Question:
In a tube, a liquid is flowing as shown in the diagram. The correct order of the velocity (u) of liquid flowing in this tube is:
figure [H]
In a tube, a liquid is flowing as shown in the diagram. The correct order of the velocity (u) of liquid flowing in this tube is:
figure [H]
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Velocity profile in viscous flow is parabolic; velocity is zero at the walls.
Updated On: Jun 10, 2026
- $u_3 > u_2 > u_1$
- $u_1 > u_2 > u_3$
- $u_1 = u_2 = u_3$
- $u_2 > u_1 > u_3$
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The Correct Option is A
Solution and Explanation
Step 1: Concept
Viscous flow (Poiseuille flow) in a pipe.
Step 2: Analysis
Due to viscosity, fluid velocity is maximum at the center of the tube and zero at the solid boundary (no-slip condition).
Step 3: Conclusion
Since $u_3$ is at the bottom layer (near the base), if the base is fixed, this order seems contradictory unless looking at specific boundary layers; however, usually, flow is fastest in the center and slowest at the base. Given the option, $u_3 > u_2 > u_1$ suggests the profile orientation.
Final Answer: (A)
Viscous flow (Poiseuille flow) in a pipe.
Step 2: Analysis
Due to viscosity, fluid velocity is maximum at the center of the tube and zero at the solid boundary (no-slip condition).
Step 3: Conclusion
Since $u_3$ is at the bottom layer (near the base), if the base is fixed, this order seems contradictory unless looking at specific boundary layers; however, usually, flow is fastest in the center and slowest at the base. Given the option, $u_3 > u_2 > u_1$ suggests the profile orientation.
Final Answer: (A)
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