Unsteady High-Speed MHD Natural Convective Flow over an Inclined Plate with Variable Electrical Conductivity, Higher-order Chemical Reaction, Thermal Radiation, and Concentration Gradient-Dependent Heat Generation/Absorption

The problem of unsteady high-speed MHD natural convective flow over an inclined plate in a fluid with variable electrical conductivity, higher-order chemical reaction, thermal radiation, and concentration gradient-dependent heat generation/absorption is investigated. It is assumed that the fluid is chemically reactive, and of the nth-order; electrically and magnetically conducting; viscous, incompressible, and Newtonian; the plate is highly porous, thermally and electrically conductive, and heated to a high-temperature regime to emit thermal rays; the plate is heated at the bottom, and the heat is conducted to the top such that convection currents exist. The equations governing the flow are non-linear and coupled partial differential equations. They are transformed into ordinary differential equations using the time-dependent similarity transformation, and solved by the Modified Homotopy Perturbation approach. Expressions for the concentration, temperature, velocity, rates of heat and mass transfer, and the stress/force on the wall are obtained, computed, and presented graphically and quantitatively for the different parameters. The analysis of results shows among others, that the increase in the: order of chemical reaction parameter causes fluctuation in the fluid concentration structure, but increases the flow velocity; the Forchheimer number decreases the fluid velocity, but increases the force on the surface wall; electrical conductivity causes fluctuation in the temperature structure, increases the rate of heat transfer to the fluid, and decreases the force on the wall; inclined angle decreases the fluid velocity.