Question
Download Solution PDFThe velocity of the fluid particle at the centre or a pipe section
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
The velocity of the fluid particle at the center of a pipe section
In fluid dynamics, the velocity of a fluid particle in a pipe varies across the cross-section due to the effect of viscosity. The flow inside the pipe can be either laminar or turbulent, but the general velocity distribution profile shows that the velocity is maximum at the center and decreases towards the walls of the pipe.
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In Laminar Flow: The velocity profile is parabolic, and the center of the pipe exhibits maximum velocity.
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In Turbulent Flow: The velocity profile is flatter in the center but still has the maximum velocity at the core of the pipe.
Analyzing the Given Options
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Option 1: Minimum — This is incorrect because the velocity is minimum near the walls of the pipe due to the no-slip condition.
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Option 2: Maximum — This is correct because the velocity is maximum at the center of the pipe in both laminar and turbulent flows.
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Option 3: Equal throughout — This is incorrect because the velocity varies across the cross-section of the pipe due to the velocity profile.
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Option 4: None of the above — This is incorrect since Option 2 is correct.
Conclusion: The velocity of the fluid particle at the center of the pipe section is maximum, making Option 2 the correct answer.
Last updated on Jul 22, 2025
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