Compressible flow in a pipe
 

I am new to this CFD world. I am solving Quasi state eqns for isothermal flow

A∂(ρ)/∂t+∂(ρuA)/∂x=0 --Mass
∂(ρu)/∂t+∂(ρu^2+p)/∂x=ρg sin⁡θ-ρu^2 1/A dA/dx --Mom

Can someone tell me how to proceed for this problem and some reference?

Are there codes for book "computational fluid dynamics" by Anderson?