couette flow

hi to all,

I am working on analysis of couette flow in 2d. I got the plots for flow between two parallel plates

But i am not getting how to solve the couette flow i.e, the following doubts are araised

1.How to constraint the lower plate ?
2.How to give Velocity to the upper plate ?
3.How to get the plots in 2d for various pressure gradients variations by profile equation ?

Looking for ur kind responses

Thanks,

Prakash