Computational Analysis of the MHD Dissipative Casson-Williamson fluid flow past a slippery stretching sheet with Thermal radiation impact

In the last two decades, researchers have focused on fluid flows over a stretched sheet due to their applications in many technological and commercial processes, including food production, specific separation techniques, paper manufacturing, and more, though much more research is still required. Therefore, this comprehensive research examines the MHD Dissipative steady Casson-Williamson fluid flow with heat transfer over a slippery stretching sheet through Thermal radiation effect. It is assumed that the impermeable stretched sheet has a rough surface and is integrated into a porous medium. Darcy's law is meant to be followed by the porous media that the non-Newtonian fluid is passing through. We have transformed the differential model into a dimensionless system of nonlinear ordinary differential equations by applying appropriate conversions. Two numerically approaches are used to solve the transformed governing equations system Keller Box Method (KB) and Collocation Method (CM). Under certain unique conditions, several comparisons with previously published data are made to validate the current study, demonstrating a significant agreement. Graphical representations of the impact of various parameters on the velocity and temperature profiles are shown. Regarding the noteworthy findings, we observe that the slip velocity parameter, Casson parameter, and porous parameter reduce the velocity profiles, but the local radiation parameter tends to enhance temperature fields.