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

dhouha · February 24, 2017, 08:30

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 !

Katt · August 30, 2017, 12:06

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.

February 24, 2017, 08:30	How to validate a 3D poiseuille flow in a rectangular channel?	#1
dhouha New Member Join Date: Feb 2017 Posts: 1 Rep Power: 0	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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August 30, 2017, 12:06		#2
Katt Member Katt Join Date: May 2017 Posts: 30 Rep Power: 9	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.