A study on non-Newtonian transport phenomena in a mixed convection stagnation point flow with numerical simulation and stability analysis

.The non-Newtonian fluid model is vital to visualize the fluid flows in the latest industrial materials so that the work productivity can be enhanced. Thus, this numerical study inspects the behaviour of the steady mixed convection flow near a stagnation point along a permeable vertical stretching/shrinking flat plate in a Powell-Eyring fluid. A proper similarity transformation simplifies the system of partial differential equations into a system of ordinary differential equations. The collocation formula in the MATLAB software then solves the system of similarity equations. The numerical results have been presented based on two different values of the Prandtl number, as the other governing parameters are varied. When the Prandtl number is 0.015, the availability of the second solution (lower branch solution) is within a certain range of the opposing flow, but the shrinking plate influences the presence of the dual solutions at the assisting flow. The usage of the Prandtl number as 23 restricts the existence of a critical point. Stability analysis shows that the first solution (upper branch solution) is a stable solution whereas the second solution is not a stable solution.