Multiple slip effects on inclined MHD Casson fluid flow over a permeable stretching surface and a melting surface

In this paper, we have investigated the effects of multiple slip on inclined MHD Casson fluid flow over a permeable stretching surface and a melting surface. We have considered first and second order velocity slip, non-linear radiation, non-uniform heat source and non-linear chemical reaction. The analysis is carried out numerically for the momentum, heat and mass equations by solving the bvp4c MATLAB solver. The physical features of non-dimensional Casson fluid parameter, Schmidt number, Eckert number, variable radiation parameter, porosity parameter, variable heat source parameter, Prandtl number, Skin friction coefficient, local Nusselt number and local Sherwood number of velocity, temperature, volume fraction have been discussed and depicted by the graphs and tables. The theta and phi profiles were uplifted with the increment of the beta, M and Kp parameters on a suction and melting surface whereas the opposite behavior observed on f' profiles and the f' profile and momentum boundary layer thickness was depressed with the increment of the L-1 and L-2 parameters under a suction and a melting surface whereas the reverse behavior observed on theta and phi profiles. The impact of various physical parameters of melting surface and porous surface are obtained and observed that the effect of melting surface is higher than porous surface.