Radiative flow of nanofluid past a convected vertical Riga plate with activation energy and nonlinear heat generation

Abstract

This article presents an analysis of the radiative flow of nanofluid past a convected vertical Riga plate with activation energy and nonlinear heat generation. A Riga plate is a surface-mounted electromagnetic actuator with a spanwise aligned array of alternating electrodes and permanent magnets. The aforementioned rheological model is formulated in the way of the nonlinear partial differential equations (PDEs). The system of nonlinear coupled ordinary differential equations (ODEs) is obtained from the modeled nonlinear PDEs by incorporating valid similarity transformations. The system of ODEs is then figured out by the reliable shooting method. The effects of mixed convection, modified Hartmann number, Biot number, thermophoresis, Eckert number, reaction rate, the width of magnets and electrodes, and Lewis and Prandtl numbers on the velocity, temperature, and concentration profiles are investigated graphically and numerically. It is found that the speed of the fluid can be managed with the separation of magnets and electrodes. Further, the concentration of nanofluid is significantly enhanced in the presence of activation energy. Also, the nonlinear exponential index parameter of heat generation declines the temperature of the fluid. Further, it is found that in the presence of thermal radiation, viscous dissipation, and nonlinear heat generation, the Nusselt number increases averagely by about 11.3%.