Flow Through Pipes: Paraboloid Curve & Reason

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The discussion centers on the shape of the velocity profile of liquid flow through pipes, which is described as a paraboloid. This shape arises because the velocity is highest at the center of the pipe and decreases to zero at the walls due to friction. The velocity gradient can be calculated as a function of the distance from the center, leading to the parabolic equation. This phenomenon is consistent across different liquids, indicating that the shape is inherent to laminar flow dynamics. Understanding the calculations behind this profile is essential for grasping the underlying principles of fluid mechanics.
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when any liquid flows through a pipe, the curve made by it is paraboloid, what is the reason for this shape. also the equation tells that it is independent of the liquid flowing through the pipe
 
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"the curve made by it"?
You mean the velocity profile for laminar flow?

You can calculate the velocity gradient as function of the distance to the center, and derive the velocity profile based on that. See the Wikipedia article, for example.
 
i am talking about the velocity profile of the liquid, i know that from the equation it comes out to be a parabola equation, but what is its meaning, i mean why is it that velocity is maximum at the centre of the pipe and zero, at the corners?
 
zero at the wall -> friction
increasing towards the center -> further away from the area of zero velocity, more flow

If you know how to calculate it, try to understand the calculation. I think it is quite intuitive to follow those steps.
 

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