Insight into the effects of thermal radiation and Ohmic heating on chemically reactive Maxwell fluid subject to Lorentz force and buoyancy force

Abstract

The objective of the present study is to investigate the effects of thermal radiation and Ohmic heating on  magnetohydrodynamic free convective ow of a chemically reactive Maxwell fluid driven by exothermal plate. The temperature dependent fluid viscosity and temperature dependent thermal conductivity are considered. Also, Arrhenius kinetics is used to model the exothermal surface reaction. The boundary layer approach is engaged to analyze the model equations. The governing partial differential equations are transformed into system of nonlinear  ordinary differential equations by similarity transformations. The Runge-Kutta Fehlberg method of order four is  employed to obtain numerical solutions of the resulting dimensionless non-linear equations. The impacts of  dimensionless parameters on the fluid velocity, temperature distributions, skin friction coefficients and Nusselt  number are demonstrated through plots and tables. Also, the results elucidate that both the skin friction coefficient  and heat transfer rate are increasing functions of Deborah number. The obtained results are compared with  published literature and the results are found to be in excellent agreement.