SUCTION EFFECT ON POROUS SHRINKING CYLINDER IN MHD CASSON FLUID WITH THE IMPACT OF HEAT GENERATION AND RADIATION

Abstract

In this research, we are delving into the intricate interplay of Casson fluid flow around a shrinking cylinder while considering the existence of a porous medium. This system is further influenced by magnetohydrodynamics (MHD), radiation, and heat generation. A distinctive aspect of novelty in this investigation involves incorporating a suction effect into the boundary condition. By converting the resulting set of nonlinear partial differential equations into ordinary differential equations, we employ the bvp4c solver, which makes use of the Runge-Kutta method, to achieve numerical solutions. This numerical technique enabled us to simulate and examine the complex patterns of fluid flow, temperature distribution, and velocity profiles that arise from the combined impacts of Casson fluid behavior, porous medium, MHD, radiation, and heat generation. The presence of the porous medium brings about alterations in velocity profiles and heat transfer within the system. The numerical methodology introduced serves to showcase the capabilities of the bvp4c solver in conjunction with the Runge-Kutta method, particularly when addressing challenging multiphysics problems involving Casson fluid behavior, porous media, MHD, radiation, and heat generation. The key findings of this research indicate that an increase in the Casson fluid parameter and the suction effect leads to a reduction in skin friction. Moreover, higher values of radiation are associated with a decrease in the Nusselt number profile. The primary innovation of this paper lies in analyzing the aforementioned effects within the context of Casson fluid, considering two distinct values: one being 0.5 and the other infinity.