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
"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.
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wave525
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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???