Streamfunction-velocity derivation
 

If I am trying to derive the streamfunction-velocity formulas do I start with the curl of the momentum equation and change that into the streamfunction-vorticity formulas and then back track the vorticities to streamfunctions? I am trying to convert the equations for flow through porous media as given by Jiang to streamfunction-veloctiy formulation. I have turned them into streamfunction-vorticity, but I want to get rid of the vorticities to help with boundary conditions.

thanks

Re: Streamfunction-velocity derivation
 

> I want to get rid of the vorticities to help with boundary conditions

But vorticity is actually generated at the boundary! So, it seems to me that one way or another you have to deal with vorticity... I'm not familiar with the porous media equation used in your case, but don't you end up essentially having a potential flow anyway (in which case there is no vorticity anywhere)?

Adrin Gharakhani