Flow between two rectangular inclined plane walls

Problem of two dimensional, steady and viscous fluids in a rectangular converging (diverging) plane walls is studied here. Rectangular coordinate system is considered in which x is representing axial direction and y is normal to it. Walls are situated at y=±(mx+h0) where m is the slope of channel walls and  ± h0 are y-intercepts or 2h0 is gap between walls when x=0. The free stream at center of channel is inversely proportional to mx+h0. Flow phenomena have been characterized by non-dimensional parameters Re (Reynolds number) and slopes of walls m. The governing equations are reduced to a set of ordinary differential equations by using appropriate transformations for velocity components and pressure. These ordinary differential equations have been solved for different values of m and Re subject to relevant boundary conditions. Effects of parameters on velocity and pressure distributions have been studied. Three types of solutions are discussed here: perturbation solution, numerical solutions and a solution obtained by collocation method. Also these results are matched with classical models. For reasonable values of parameters, excellent agreement among solutions is also found.