Radiative and Hydromagnetic Heat Transfer Analysis of a Reiner–Philippoff Fluid

Abstract

The aim of this work is to characterize the buoyancy-driven flow of a Reiner–Philippoff fluid over a vertical plate under the combined influences of a sinusoidal hydromagnetic effect and thermal radiation. This study focuses on the prediction of the conveyance of heat in the gravity-induced regime both qualitatively and quantitatively. Pertaining to this investigation, the governing transport equations, which are coupled, nonlinear, and time dependent, are solved numerically using a well-organized Crank–Nicolson scheme, consistent with the finite difference method. By demonstrating the graphical representations of flow velocity, temperature, drag coefficient, and heat transfer rate, obtained for a set of physical parameters, namely, magnetic parameter ([Formula: see text], 1.0, 1.5, and 2.0), rheological parameter ([Formula: see text], 1.0, 1.5, and 2.52), and radiation parameter ([Formula: see text], 1.5, 2.5, and 3.5) relevant to this analysis, this paper establishes their influence on the underlying thermohydrodynamics. The results of this analysis show that the impact of periodic magnetic field remarkably enhances the flowfield variables, while the evolution of flow contours deviates periodically with a higher amplitude when the magnitude of the periodic magnetic and thermal radiation parameters is increased. The results of this analysis seem to provide a basis for the design of a modern electromagnetic pump, largely used in applications of traditional energy resources.