Impact of Newtonian heating on MHD flow of non-Newtonian fluid

Abstract

Studying real-world problems with flow models of Newtonian and non-Newtonian fluids has gained particular attention because of its significance in engineering and other industries. According to trends in the field of research, interest in studying the characteristics of all such fluid flows is expanding. Due to the peculiar nature of the physical foundation of these non-Newtonian flows, no single constituent equation is available in the literature to explain all of their characteristics or rheological behavior. In the current investigation, the continuous 2D Casson fluid heat transfer flow is combined with the effects of radiation and an inclined magnetic field over a linear stretch surface. Newtonian condition is used to heat the sheet. The governing partial differential equations (PDEs) are transformed into nonlinear ordinary differential equations (ODEs) via the similarity transformation. The fourth-fifth-order Runge–Kutta Fehlberg (RKF45) method is then used to numerically solve the problem. The results for temperature distribution, and velocity field are computed and plotted graphically and discussed in detail. It is found that the magnetic parameter reduces fluid velocity and the Casson fluid parameter increases temperature distribution.