You are studying the laminar flow of water in a pipe at 20˚C. The pipe is...

You are studying the laminar flow of water in a pipe at 20˚C. The pipe is 2 cm in diameter, and the pressure gradient driving the flow is 0.8 Pa/m.

Find the x-sectional average velocity (Poiseuille’s Law) and the maximum velocity achieved at the centerline of the pipe (use the equation for U_max presented in the alternative derivation of Poiseuille’s Law). How many times greater is the maximum velocity compared to the average velocity?
Is this ū/u_max ratio constant or does it vary with some other parameter? Prove your answer by deriving an equation for ū/u_max from the equations used in part.
Verify that the flow is laminar.

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Expert Solution

genius_generous answered 1 year ago

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