Exploring slip-enhanced MHD Williamson nanofluid dynamics: interplay of a permeable stretching sheet with thermal radiation and chemical reaction

Abstract

The study focusses on analysing the intricate dynamics of heat and mass transfer in non-Newtonian fluids, emphasising the efficacy of the Williamson fluid model in characterising situations with diverse viscosities. This study investigates the mass and heat transfer of a magnetohydrodynamic Williamson fluid across a surface with stretched pores, taking into account the radiation from heat sources and chemical reactions. We reduce the extremely nonlinear governing equations to more manageable forms by applying similarity invariants and obtain the numerical solution by combining the shooting method and the BVP4C method to solve the reduced systems of ordinary differential equations MATLAB visualisations demonstrate that the non-dimensional parameters are closely related to the body of current literature. Notably, the data indicate an intensification of the temperature profile at higher radiation, Williamson and magnetic factor values, while fluid motion experiences a decrease at these elevated levels. This study’s results hold significant implications for industries such as food processing, glassmaking, oil extraction and others related to fluids, as it links higher Williamson and magnetic parameters to reduced fluid mobility, while higher Williamson, magnetic and radiation factors enhance the temperature profile. Overall, this work provides insightful information about how non-Newtonian fluids behave under various physical conditions, with useful applications for a broad range of industrial processes. The purpose of this study is to look at the dynamics of Williamson nanofluids under slip-enhanced magnetohydrodynamics, having a particular emphasis on the interaction of thermal radiation, chemical reaction and a permeable stretching sheet. This research uses the shooting technique and the BVP4C approach to examine the complicated behaviour of the system in depth.