Natural Convection in Transient MHD Dissipative Flow

Abstract

The governing equations are solved analytically by applying some constraints on the physical problems in the works mentioned above, specifically those that deal with impulsive motion, in order to linearize the equations. On the grounds that their contributions are thought to be comparatively modest, some terms are typically ignored when idealizing mathematical models. Several instances show a significant departure between the outcomes from the idealized models and the true models. Because of this, many authors have numerically performed their individual parametric studies on various physical models without linearizing the governing equations. Keeping this in mind, (Rajesh 2011) studied numerically how thermal radiation and first-order chemical reaction affect the unsteady hydromagnetic convective mass transfer flow over an infinite vertical porous plate with ramped wall temperature. Rajesh (2011) used the Crank–Nicolson type finite-difference scheme to solve the equations numerically. Due to the practical importance, the current work focuses on analyzing the problem of the hydromagnetic unsteady viscous dissipative flow of an electrically conducting incompressible fluid through an abruptly started infinite vertical porous plate with ramped wall temperature. To resolve the resulting system of dimensionless coupled non-linear differential equations governing the flow, a Crank–Nicolson type implicit finite-difference method is used. Here, the primary objective is to investigate how the characteristics of the flow are impacted by the magnetic field, thermal radiation, Reynolds number, and chemical reaction.