Affiliation:
1. Department of Mathematics and Statistics, CNMS, the University of Dodoma, P. O. Box 338, Dodoma, Tanzania
Abstract
The numerical study of Newtonian heating effect on unsteady free convection MHD Casson flow of radiating and chemically reacting fluid past an oscillating vertical porous plate embedded in a porous medium was conducted by considering the effects of heat sink and viscous dissipation. The fluid motion is persuaded due to the periodic oscillations of the plate along its length. This phenomenon is represented as nonlinear PDEs with initial and boundary conditions. By introducing suitable nondimensional variable and parameters, the leading equation with initial and boundary conditions is converted into dimensionless form, which are then solved numerically using a finite difference method. The effects of several relevant parameters on the velocity, temperature, and concentration are displayed graphically, whilst the effects of these parameters on the skin friction and Nusselt and Sherwood numbers are exhibited in tabular format and then discussed in detail. The final outcomes divulge that the radiation parameter and Eckert number have an increasing effect on the velocity and temperature, whilst reverse tendency is detected with increasing Prandtl number and heat absorption parameter. Newtonian heating parameter and thermal and mass buoyancy forces boost fluid velocity, whilst Schmidt number and chemical reaction have the opposite impact. It is noteworthy to point out in this study that the velocity boundary layer thickness for the Newtonian fluid is larger than the Casson fluid.
Subject
Mathematics (miscellaneous)