In laminar flow through a pipe of radius R, the fraction of total fluid flow through a circular cross section of radius R/2 centered at the pipe axis is ???
If u know the answer then u definitely gave, but u dont have the answer thats why u use this "homework" as a shield to save from embarrassment.. if a have dare to prove that u know the answer, then give it now, i willl not ask these type of question again.
I forget what the shape of the cross-sectional velocity profile is; parabola? Whatever the shape, the full flow is represented by the solid of revolution of the curve. V = ∫0R 2π f(x) dx. The flow within R/2 is ∫0R/2 2π f(x) dx. [I think, but pretty rusty.]
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