Mixed convection stagnation-point flow of Cross fluid over a shrinking sheet with suction and thermal radiation

Abstract This work focuses on numerically investigating the mixed convection stagnation-point flow and heat transfer in an incompressible Cross fluid over a permeable shrinking sheet, with suction and thermal radiation effects. The governing equations defining the current problem have been first transformed into the ordinary differential equations through similarity transformations. The resulting equations obtained are then solved numerically using the bvp4c programmed in MATLAB, revealing dual (upper and lower branch) solutions for both assisting and opposing flow regions. Stability analysis has been employed afterwards to determine a stable solution between them. Following from there, the upper branch solution has been found to be stable, while the lower branch solution is unstable. In addition, the study has established that the Weissenberg number, the Prandtl number and the suction parameter are strongly influenced to uplift the range of existence for dual solutions.