Stagnation-point flow of an upper convected maxwell fluid towards a vertical stretching/shrinking sheet

In this paper we investigate mixed convection stagnation-point flow and heat transfer towards a vertical permeable stretching/shrinking sheet in an upper convected Maxwell fluid with variable surface temperature. The nondimensional governing equations have been solved numerically using the bvp4c function from Matlab for different values of the pertinent parameters; mixed convection parameter ?, stretching/shrinking parameter ?, suction parameter S, elastic parameter (Deborah number) K, keeping Prandtl number Pr fixed. Numerical results are obtained for the reduced skin-friction and heat transfer and for the velocity and temperature profiles. The results indicate that dual solutions exist for a buoyancy opposing flow (? < 0) whether the surface is stretched or shrinked for certain values of the parameter space. Increasing the elastic parameter values has the effect of reducing the velocity field and increasing the temperature.