Impacts of the Soret number, Dufour number, binary chemical reaction, Arrhenius activation energy and magnetohydrodynamics on the Williamson fluid over a circular porous stretching sheet in the presence of radiation

Abstract

This paper examines the effects of nonlinear radiation, heat sources, binary chemical reactions, Soret number, Dufour number and Arrhenius activation energy on Williamson fluid, as well as the transport of heat and mass via a circular porous radially stretched sheet using magnetohydrodynamics (MHD). It also applies a changing magnetic field to the circular, porous, stretched sheet. The similarity transformation transforms the nonlinear controlling boundary layer partial differential equations (PDEs) of momentum, temperature and concentration into a set of nonlinear ordinary differential equations (ODEs). The MATLAB bvp4c method then numerically solves the ODEs. We use graphs to illustrate the variations in flow, heat and concentration profiles resulting from various problem-related parameters, such as the Weissenberg number, magnetic parameter, Prandtl number, heat source, Eckert number, Soret number, Dufour number, radiation, temperature ratio, activation energy and chemical reaction parameters. We showed the effects on the skin friction coefficient, heat and mass transfer rate using tables for various values. When the porosity parameter, magnetic parameter and Weissenberg number increase, the fluid velocity drops. The temperature of the fluid increases as the Weissenberg number rises. As the activation energy parameter increases, the concentration profile increases. When compared to previous studies, the new results are considered quite good. Additionally, this work offers an intuitive explanation of the nonlinear radiation events in the Williamson fluid. With the ability to increase thermo-fluid flow system efficiency, the Williamson fluid has several applications in food industry, biomedicine and engineering appliances.