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Mass-flow rate

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Consider a flow for which the velocity vector is:
Compute the mass-flow rate across a plane of area A that is perpendicular to the x axis and lies at x=3L. The fluid density is d.

I know that the mass-flow rate, M, is calculated by:
M=Double integration [d(u*n)]dA

I am having trouble setting up the integral though. I think that dA becomes dy dz but I'm not for sure what the limits will be for those.

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Solution Summary

The solution computes the mass-flow rate across a plane.

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