Hi
i want to solve convection boundary layer flow past a vertical plate problem using Finite difference method, that is, i have to solve momentum (NavierStokes) and energy equations. Most of the boundary layer problem is solved by similarity transform method. That is they convert PDE to ODE then they solve ODE by Runge Kutta Shooting method. I would like to solve the PDE directly.
Momentum Eqn
U_t+U U_x + V U_y = U_yy + Gr T
Energy Eqn
T_t+U T_x + V T_y = (1/Pr) T_yy
Boundary Condns
U=0; T=0; at X=0
U -> 0; T -> 0; as Y -> infinity
When i am solving the problem i could not get the correct velocity and temperature profiles as given in many papers. So i need help in this regard, particularly how to handle the infinite boundary condition in the computer code.
Thanks in advance