Field function - Fully developed flow profile for a square micro channel
 

Hi,

I was wondering if anybody had a field function defined for fully developed flow in a square channel?

I have a field function for a circular channel but i am under pressure with time to create a square one.

Any help would be fantastic.

:):)

a laminar fully developed solution can be obtained by simply solving the Poisson equation for the streamwise component with homogeneous Dirichlet BC.s

Thanks for you response :)
But im sorry to say that i have never heard of homogeneous Dirichlet BC.s before?

Would you be able to expand a little?

it means w=0 on the walls

A good reference for laminar solution in rectangular ducts
 

Here is a solution for rectangular ducts, slightly more general.

http://web.ornl.gov/info/reports/1951/3445603527379.pdf
pages 11-12

yes, Eq.(5) in the paper is the Poisson equation I wrote above