Numerical study on thermal radiation and chemical reaction impacts on Prandtl nanofluid flow over a bilinear stretching sheet with heat generation and absorption: Response surface methodology

Abstract

The study focuses on the three-dimensional flow of a non-Newtonian Prandtl nanofluid with electrical conductivity, flowing over a bilinear expanding surface within a porous medium. These flows in porous medium are applied in water purification processes, petroleum industries and also chemical factories. The exploration examines various heat and mass transport phenomena, including the consequences of thermal radiation, thermophoresis, Brownian motion, substance response and heat source/sink. The governing partial differential equations are reformulated into a system of nonlinear ordinary differential equations through the application of appropriate similarity transformations. These equations are subsequently solved by using numerical methods bvp4c as well as shooting method. Furthermore, the arithmetical values for the friction factor and the temperature and accumulation constants are provided in tables. It is experiential that the Prandtl fluid constraint enhances the axial and transverse velocities, while the temperature sharing shows an inverse relationship. The temperature and concentration distributions have an opposite attitude with the influence of Brownian motion parameter.