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How to validate a 3D poiseuille flow in a rectangular channel?

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Old   February 24, 2017, 08:30
Default How to validate a 3D poiseuille flow in a rectangular channel?
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Hi,
I am not sure if i should validate my 3D poieuille code with an analytic 3D formula for the velocity profile (which seems a little bit complicated), or just plot the velocity profiles in the middle plane of the channel (symmetry plane) and see if it is similar to the 2D case?
Please help !
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Old   August 30, 2017, 11:06
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Hi,

Did you find any analytic solution for the 3D velocity expression in a rectangular channel.

I do know that for a circular channel maximum velocity is 2 times average velocity and for rectangular channels it is 1.5 times the average velocity..

Any help with a 3D expression? I roughly get the co-efficient as 2.1 but is not consistent. I guess it is also dependent on the channel size.
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