INFLUENCE OF CHEMICAL REACTION ON MAGNETOHYDRODYNAMIC FLOW OVER AN EXPONENTIAL STRETCHING SHEET: A NUMERICAL STUDY
P. K. Pattnaik, S. R. Mishra, Ashok K. Barik, Ajay Kumar Mishra
Abstract
The present paper analyzes the effect of chemical reaction on free convective magnetohydrodynamic (MHD) flow of steady, laminar, incompressible fluid with non-uniform heat source/sink. The flow passes through an exponential radiative stretching sheet in the presence of magnetic field. Suitable similar transformation is used to convert the non-linear partial differential equation to ordinary. Due to high non-linearity, analytical approach for these coupled non-linear equations does not hold well. Therefore, these transformed ordinary differential equations (ODEs) are solved by using a numerical technique adopting the Runge-Kutta fourth-order method accompanied with the shooting technique. The influences of various physical parameters on velocity, temperature, and solutal concentration profiles are presented through graphs and the numerical computation of physical quantities such as rate of shear stress, rate of heat and mass transfer are obtained and tabulated. Validation of the present results with that of earlier established result is made and it is in excellent agreement. The major finding of the said results is discussed in the results and discussion section elaborately. It has been noticed that buoyant forces enhance the velocity profile, and heat generation parameter increases, whereas absorption decreases the fluid temperature and destructive chemical reaction increases whereas generative reaction decreases the fluid concentration.