Combined effect of viscous dissipation and Joule heating on MHD flow past a Riga plate with Cattaneo–Christov heat flux

Abstract

The present work is committed to study the influence of dissipation and Joule heating on the magnetohydrodynamic squeezing flow between two Riga plates with Cattaneo–Christov heat flux. Riga plate is known as an electromagnetic actuator which comprises of permanent magnets and alternating electrodes placed on a plane surface. A non-Fourier (Cattaneo–Christov) heat flux by considering thermal relaxation time to Fourier’s law is implemented to analyse the features of heat transfer. The resulting system of nonlinear ordinary differential equations together with the boundary conditions is solved numerically by the RK Fehlberg method with shooting technique. The effects of diverse parameters on the flow, energy and concentrations are discussed and displayed graphically. Additionally, the influence of selected parameters on reduced skin friction, Nusselt number and Sherwood number is also graphically illustrated. It is noticed that there is a significant increase in temperature of the fluid with rising viscous dissipation and Joule dissipation. In addition, increasing squeezing parameter and magnetic field parameter results a strong reduction in skin friction at the upper Riga plate. A consistent growth in Nusselt number is observed with rising Eckert number, length parameter, radiation parameter and thermal Biot number.