Mathematic modeling for boundary layer flow over a stretching or shrinking cylinder

In this study, the steady boundary layer flow, mass transfer and heat transfer of a cylinder near the stagnation point over a stretching or shrinking sheet are investigated numerically. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using a similarity transformation which is then solved numerically using a shooting method. The numerical results are presented in tables or graphs for the skin friction coefficient, the local Nusselt number and the local Sherwood number as well as the velocity, temperature and concentration profiles for a range of various parameters such as stretching or shrinking parameter ε , curvature parameter γ ,Prandtl number Pr, Schmidt number Sc , reaction rate parameter β and suction or injection parameter 0 f . It is observed that the skin friction coefficient, the local Nusselt number which represents the heat transfer rate at the surface and the local Sherwood number are significantly influenced by these parameters. The results indicate that dual solutions exist for a shrinking cylinder. The results also indicate that suction increases the range in which the solution exists, while injection acts in the opposite manner. On the other hand, the increase of the curvature parameter cause the skin friction coefficient, the heat and mass transfer rate at the surface to increase.

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