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The velocity of fluid particle at the centre of the pipe section is:
  • a)
    Zero
  • b)
    Minimum
  • c)
    Maximum
  • d)
    Average of the full section
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The velocity of fluid particle at the centre of the pipe section is:a)...

Velocity distribution of a flow of viscous fluid through circular pipe:

The velocity is maximum when r = 0 i.e. at the centre of pipe.

Average velocity:
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Most Upvoted Answer
The velocity of fluid particle at the centre of the pipe section is:a)...
Velocity of Fluid Particle at the Centre of the Pipe Section

The velocity profile of a fluid flowing through a pipe is parabolic in nature. This means that the velocity of fluid particles is not the same at all points in the pipe.

Maximum Velocity at the Centre of the Pipe

At the centre of the pipe section, the velocity of fluid particles is maximum. This is because the fluid particles at the centre experience the least amount of friction and resistance from the pipe walls.

Minimum Velocity at the Pipe Walls

On the other hand, the velocity of fluid particles at the pipe walls is minimum. This is because the fluid particles at the walls experience the highest amount of friction and resistance from the pipe walls.

Average Velocity of the Full Section

The average velocity of the full section is calculated by taking the average of the velocities of all the fluid particles in the pipe. This is calculated by integrating the velocity profile over the entire cross-section of the pipe.

Conclusion

In conclusion, the velocity of fluid particle at the centre of the pipe section is maximum, while the velocity at the pipe walls is minimum. The average velocity of the full section is calculated by taking the average of the velocities of all the fluid particles in the pipe.
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The velocity of fluid particle at the centre of the pipe section is:a)Zerob)Minimumc)Maximumd)Average of the full sectionCorrect answer is option 'C'. Can you explain this answer?
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