Nonlinear Double Diffusion of nth Order Chemically Reactive Stagnated Flow of Walters' B Fluid With Elastic Distortion in a Porous Medium

Abstract

The present study explores the steady two-dimensional flow of an incompressible viscous fluid past a vertically stretching surface in the presence of a transverse magnetic field. The fluid flow is guided by Walters' B fluid constitutive model. The plate is given a linear stretching and maintained with thermal and concentration slips. Further, the effects of nth-order chemical reactions are also considered. Applying practical assumptions and compatible similarity transformations, a system of nonlinear partial differential equations has been converted into a relevant nonlinear ordinary differential equations system. The governing equations are computed numerically by applying MATLAB built-in bvp4c solver tool. The obtained results are presented graphically and in tabular form, encompassing different values of flow parameters included in the solution. The change in the pivotal values of the thermal slip parameter (${\lambda }_2$) from 1.1 to 1.3, 1.3 to 1.5, and 1.5 to 1.8 correspond to a reduction in temperature by 15.38%, 26.67%, and 38.89%, respectively. This illustrates the significant role that thermal slip plays in viscoelastic fluid flow by improving heat transfer and reducing the boundary friction. Moreover, higher order chemical reaction lightens the fluid particles' concentration with decelerated rates of thermal and solutal movements, indicating that minute variations in concentration implies larger changes in the rate of reaction. The findings of this work will be relevant in engineering and industrial fields, dealing with heat and mass transfer problems in the polymer industries, nuclear power plants, and so on.