An investigation has been conducted to study the steady stagnation point flow and heat transfer in a porous medium caused by an exponentially stretching/shrinking sheet. Using a similarity transformation, the governing system of partial differential equations are transformed into a system of ordinary differential equations. The system of ordinary differential equations is then solved numerically using a shooting method in Maple software. The effect of the governing parameters on the skin friction coefficients and the local Nusselt numbers as well as the velocity and temperature profiles are analysed and discussed. Results obtain in this study are illustrated graphically. The range of parameter where the similarity solution exists for the steady stagnation point over an exponentially shrinking sheet in porous medium is larger than linear shrinking sheet.
The effects of thermal and velocity slip on Newtonian fluid steady boundary layer stagnation-point flow and heat transfer through a porous shrinking sheet with suction effect are investigated in the present research. By using a similarity transformation, the partial differential equation (PDE) is converted to an ordinary differential equation (ODE) and solved using the shooting technique to get numerical results. The flow characteristics for various values of the physical parameters are discussed, taking into consideration the effects of suction/injection as well as velocity and thermal slip. The local Nusselt number and skin friction coefficient, as well as the temperature and the velocity profiles, are presented as results. It is noticed that when the suction and velocity slip increase, the skin friction coefficient and local Nusselt number rise, as does the range of solutions that exist.
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