Analysis of heat and mass transfer on magnetohydrodynamics (MHD) natural convective fluid flow over vertical and inclined porous media

الملخص

Heat and mass transfer effects on MHD natural convective fluid flow over vertical and inclined porous media are analyzed in this paper, unsteadily. Non-dimensional differential equations are derived from the governing equations and are solved numerically using the fourth-order classical Runge-kutta method. First, we did a first-order reduction of the coupled ordinary differential equations. Furthermore, MATLAB was used to obtain and evaluate numerical expressions for the distributions of fluid velocities, temperatures, and concentrations. The Soret and dufour effects, or the impact of an inclination angle on the flow field, were the subject of an attempt at explanation. The equations for momentum, energy, and concentration are shown to be solvable as coupled second-order partial differential equations. The velocity, temperature, and concentration profiles in the flow domain are
displayed graphically for a range of issue parameters. When the fluid's temperature, concentration, and velocity all rise due to the Grashof number (Gr), modified Grashof number (Gc), the Soret number (Sr), angle of inclination ( ) , Dufour number (Df), magnetic parameter (M) Increase and thus thickening the thermal boundary layer across the channel. There is a negative correlation between the Grasholf number (Gr) and fluid velocity, temperature, and concentration, However, the magnetic parameter (M), chemical reaction parameter (Kr), Schmidt number (Sc), Prandtl number (Pr), and the angle of inclination parameter (I) are all directly related to one another. Heat transfer at the wall is improved by a rise in the Prandtl number (Pr), radiation parameter (R), and Grasholf number (Gr), whereas mass transfer is sped up by an increase in the chemical reaction parameter (Q), the Schmidt number (Sc), the Grasholf number (Gr), and the heat source parameter (Q). While we used mat lab, an order-based computer program, and a traditional fourth-order Range-Kutta iteration technique to calculate the table, interested researchers are free to try out other orderbased computer programs, such as maple, cubic, etc., to provide alternative solutions.