Question

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1)Suppose we have a steady fluid flow through a section of a cylindrical pipe with varying area, with control volume.  At the entrance the radius of the pipe r1 = 4m, the flow velocity is U1 = 5 i m/s and at the exit the radius of the pipe is r2 = 2.5 m and the velocity of the flow is U2 = 5 i m/s. Use the integral form of the continuity equation to show that the ratio of the density of the fluid entering the pipe to that exiting the pipe is

ρ1/ ρ2 ≈ 0.4

Explain the result?

Answer 1