Non-Newtonian flow in porous media
 

Hi everyone,
I want to simulate a non-Newtonian flow in a steady-3D-Isotropic-Porous medium
The governing equation for non-Newtonian flow in porous media is DIFFERENT from newtonian one! (I attached 2 Equations! The bigger one is GENERAL form and the samll one is simplified version of that which is called modified darcy! I Want to use the small Equation )
Attachment 69214
Attachment 69213
I know that default porous option in fluent is obtained by just adding a source term in momentum equation and porous option of fluent can be modeled with UDF! But i dont know how to write such a UDF for non-newtonian fluid in porous media!
Also there is an option in porous media of fluent with name "Power law velocity!" which is just as same as the darcy equation but in darcy equation there are just gradient of pressure and power law source therm!. i've read the manual of fluent but i've got a little confused! the problem is that when i use this option, should i enter the viscous resistance in the viscous resistance box or just calculated and put that as C0? in the case of using power law velocity, will the domain be considered as ISOTROPIC? and should


in the equation attached, "n" and "mu*" are CONSTANT and "K*" is a constant which includes permeability ( K )and porosity (epsilon) of porous media!(formula of K* is also attached) Attachment 69215
Anyone can help me in any of the questions above?????
I really need to do this task!
Thank you.