Stagnation-point flow and heat transfer past a permeable quadratically stretching/shrinking sheet

The stagnation point flow past a permeable quadratically stretching/shrinking sheet is investigated. By selecting appropriate similarity variables, the partial differential equations are reduced into a system of ordinary differential equations, and then are solved numerically using the boundary value problem solver, bvp4c, built in MATLAB software for different values of parameters. It is found that the solutions have two branches, upper and lower branch solutions, in some certain range of parameters. The effects of the parameters on the skin friction coefficient, local Nusselt number, and dimensionless velocity and temperature profiles are described graphically and discussed.