Downloads: 0
Research Paper | Mathematics | Volume 15 Issue 7, July 2026 | Pages: 1993 - 2006 | India
Radiation, Joule Heating, Viscous Dissipation, and Soret-Dufour Effects on MHD Oscillatory Flow in a Channel Filled with Porous Medium in the Presence of Chemical Reaction
Abstract: This study examines unsteady oscillatory magnetohydrodynamic free-convection flow of an electrically conducting viscous fluid in a porous channel with coupled heat and mass transfer. The mathematical model incorporates thermal radiation, heat source/sink, Joule heating, viscous dissipation, the Soret and Dufour effects, and a first-order chemical reaction. The governing dimensionless momentum, energy, and concentration equations are solved numerically in Mathematica using NDSolve Value with the Method of Lines under an oscillatory pressure-gradient forcing. No-slip conditions are imposed on both channel walls, while the wall temperature and concentration are held constant. The computed solutions provide transient velocity, temperature, and concentration distributions, along with histories of wall skin friction, Nusselt number, and Sherwood number. The parametric study shows that magnetic damping suppresses the axial velocity, whereas buoyancy and permeability enhance the flow. Radiation, heat generation, viscous dissipation, Joule heating, and Dufour coupling elevate the temperature field and thicken the thermal layer. The Soret parameter enhances species diffusion driven by temperature gradients, while chemical reactions reduce concentration and attenuate solutal buoyancy. The combined action of porous resistance, magnetic braking, and cross-diffusion substantially alters transport rates at the channel walls. The model is relevant to oscillatory transport in porous thermal systems, electromagnetic processing, biomedical flows, and chemically reactive heat-transfer devices.
Keywords: Magnetohydrodynamic oscillatory flow, porous channel, thermal radiation, Joule heating, viscous dissipation, Soret effect, Dufour effect, chemical reaction, heat and mass transfer, Method of Lines
How to Cite?: Dr. G. Prabhakara Rao, "Radiation, Joule Heating, Viscous Dissipation, and Soret-Dufour Effects on MHD Oscillatory Flow in a Channel Filled with Porous Medium in the Presence of Chemical Reaction", Volume 15 Issue 7, July 2026, International Journal of Science and Research (IJSR), Pages: 1993-2006, https://www.ijsr.net/getabstract.php?paperid=SR26723172037, DOI: https://dx.doi.org/10.21275/SR26723172037