Flow Through Pipes: Paraboloid Curve & Reason

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Discussion Overview

The discussion centers on the shape of the velocity profile of a liquid flowing through a pipe, specifically questioning why this profile takes on a paraboloid form. Participants explore the implications of this shape and its independence from the type of liquid flowing.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asserts that the velocity profile of liquid flow in a pipe is a paraboloid shape and questions the underlying reason for this characteristic.
  • Another participant interprets the initial question as referring to the velocity profile for laminar flow and suggests calculating the velocity gradient as a function of distance from the center to derive the profile.
  • A different participant clarifies that the velocity profile is indeed a parabola, questioning why the velocity is maximum at the center of the pipe and zero at the walls.
  • One participant attributes the zero velocity at the wall to friction and explains that the velocity increases towards the center due to being further away from the area of zero velocity.
  • There is an encouragement to understand the calculations behind the velocity profile, suggesting that the reasoning is intuitive.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and interpretation of the velocity profile, with some clarifying concepts while others question the reasoning behind the observed shape. No consensus is reached on the deeper implications of the paraboloid shape.

Contextual Notes

Some assumptions about laminar flow and friction effects are present, but these are not fully explored or resolved in the discussion.

wave525
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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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