This article examines the natural convection Couette flow in a hydrodynamic viscous fluid that is electrically conductive due to the thermal radiation effect. The governing flow in this study is modelled in the form of partial differential equations (PDEs) in dimensional form with initial and boundary conditions and the Couette fluid model is also be used to characterize the fluid behavior. Then, using suitable non-dimensional quantities, the governing non-linear PDEs are transformed. Since the flow governing equations of the problem under study are extremely complex and complicated, techniques that complement experimental and theoretical fluid dynamics by providing alternative potentially cheaper means of testing fluid flow systems is employed. Therefore, the Finite Element Method (FEM) is used after discretization of the PDEs. With Graphs and tables, the effects of embedded thermo physical parameters of engineering interests associated with the flow quantities viz. velocity, temperature, concentration of the fluid were examined through series of numerical experiments and discussed. This research also analyzes and compares the results obtained by Omokhuale and Jabaka (2022b). It is interesting to report that an excellent agreement was established, thereby authenticating and validating the accuracy of FEM as a strong tool. According to the results of this study, the actions of thermal radiation on the thermal and momentum boundary layers for increasing values are significant, also, increasing the magnetic field parameter impedes the fluid movement due to the Lorentz force action.

The current research reveals the impact of heat absorption on unsteady MHD convective Jeffery flow of a viscous, electrically conducting and incompressible fluid is researched on. The equations governing the flow of the fluid are described as Partial Differential Equations (PDEs) and Finite Difference Method (FDM) is used to obtain numerical solutions. Numerical investigations were conducted to examine the effect of parameters in the flow of the fluid i.e. on the velocity, temperature and concentration with the aid of graphs. It is seen that, the momentum boundary layer increases as the values of heat absorption and Jeffery parameters are increased while the velocity of the fluid fall for higher values of the suction and chemical reaction parameter. Also, the temperature of the fluid rises as heat generation becomes significant and a reverse trend is seen when suction is increased while increase in heat absorption parameter causes an increase in the concentration of the fluid.