Velocity profile at inlet
 

Hi,

I'm trying to make an expression on an inlet rectagular face. The image shows a 2-D slice. The inlet velocity profile is to be the 1/7 power law.

I cannot see an expression that will define the entire profile so have made this expresssion for the inlet velocity, u:

H = 1 [m]

if (y <= H , U*((y/H)^0.143) , ???? )

But I cannot get the correct equation for the top half of the velocity profile (dashed in the image).

Can any one help as I sure this has been done lots of times but I cannot get a decreasing power curve as needed.

Thanks

For the upper portion it is a simple translation of the y. For y>H replace y with (2H-y)

Thanks,

I've just got that myself:o. It's been one of those days.