[smorls]

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.

[FMDenaro]

Originally Posted by smorls

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

[smorls]

Originally Posted by FMDenaro

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?

[FMDenaro]

it means w=0 on the walls

[DaveyBaby]

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

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

[FMDenaro]

Originally Posted by DaveyBaby

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