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The velocity profile for a steady laminar flow in a circular pipe of radius R is...

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Mechanical Engineering

The velocity profile for a steady laminar flow in a circularpipe of radius R is given byu=u0(1−r2R2) . If the fluiddensity varies with radial distance r from the centerlineas ρ=ρ0(1+rR)14 , whereρ0 is the fluid density at the pipe center,obtain and choose the correct relation for the bulk fluid densityin the tube.

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