WSEAS Transactions on Heat and Mass Transfer
Print ISSN: 1790-5044, E-ISSN: 2224-3461
Volume 19, 2024
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
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Abstract: 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.
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Keywords: Electrical conductivity, Higher-order chemical reaction, High speed, MHD, Natural convection, Suction, Heat generation/absorption, Thermal radiation
Pages: 167-182
DOI: 10.37394/232012.2024.19.17