Abstract
Two-dimensional magnetohydrodynamic (MHD) stagnation point flow of incompressible Casson fluid over a shrinking sheet is studied. In the present study, homogeneous-heterogeneous reactions, suction and slip effects are considered. Similarity variables are introduced to transform the governing partial differential equations into non-linear ordinary differential equations. The transformed equations and boundary conditions are then solved using the bvp4c solver in MATLAB. The local skin friction coefficient is tabulated for different values of suction and shrinking parameters. The profiles for fluid velocity and concentration for various parameters are illustrated. It was found that two solutions were obtained at certain ranges of parameters. Then, the bvp4c solver was used to perform stability analysis on the dual solutions. Based on the results, the first solution was more stable and physically meaningful than the other solution. The skin friction coefficient increased when suction increased, but decreased when the magnitude of shrinking parameter increased. Meanwhile, the velocity and concentration profile increased in the presence of a magnetic field. It is also noted that the higher the strength of the homogeneous-heterogeneous reactions, the lower the concentration of reactants.
Highlights
Casson fluid is a shear-thinning non-Newtonian fluid that exhibits yield stress, the stress that must be exceeded to make the fluid flow
It is noted that the higher the strength of the homogeneous-heterogeneous reactions, the lower the concentration of reactants
The results on the effects of suction parameter S, shrinking parameter λ, Casson parameter β, slip parameter υ, magnetic parameter M, the strength of homogeneous reaction parameter K, the strength of heterogeneous reaction parameter Ks and Schmidt number Sc on the fluid velocity and concentration are illustrated in graphs
Summary
Casson fluid is a shear-thinning non-Newtonian fluid that exhibits yield stress, the stress that must be exceeded to make the fluid flow. The fluid acts like a solid and does not flow unless the applied shear stress is larger than the yield stress. Honey and even human blood are some of the examples. Many studies have been made on Casson fluid. One of the studies was by Mukhopadhay [1] on the boundary layer flow over a nonlinear stretching surface. This study was extended by Pramanik [2] by considering thermal radiation and an exponentially-stretching surface for the boundary. The unsteady case was discussed by Khan et al [3]
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