Cross-Diffusion Analysis of Heat and Mass Transfer Effects of Unsteady MHD Viscoelastic Flow Over Exponentially-Stretching Vertical and Inclined Porous Media

• Author(s): Mfebe, J. F. ; Amoo, S. A. ; Anyanwu, E. O
• Paper ID: 1708869
• Page: 885-897
• Published Date: 19-06-2025
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 8 Issue 12 June-2025

Abstract

The development of a mathematical model for the 2D unsteady MHD viscoelastic flow over exponentially-stretching vertical and inclined porous media is the primary aim of this research. The combined effects of Soret and Dufour, activation energy, viscous dissipation, thermal radiation, mixed convection, thermal heating are included in the energy and concentration equations within this model. By using appropriate similarity transformations, the governing partial differential equations (PDEs) were transformed into nonlinear ordinary differential equations (ODEs) and then solved numerically using the embedded classical Runge-Kutta method along with the shooting techniques. The impact of various physical parameters on concentration, velocity, and temperature profiles were shown through graphs. It was found that increase in heat source (?) and thermal conductivity (?) decreases the heat transfer rate but increases the skin friction and mass transfer rates. It was further discovered that the increase in thermal Grashof (Gr) and solutal Grashof (Gc) increases skin friction, heat and mass transfer rates, whereas the reverse trend was noticed for the magnetic strength. The temperature diminishes as the Prandtl number increases, whereas the opposite scenario exists for Dufour and radiation. The fluid concentration rises for a monotonic increment of the Soret, while it reduces for Schmidt number and chemical reaction. The amplification of skin friction is observed with an increase in magnetic field strength, while it decreases with an increasing viscoelastic ratio factor. The Nusselt number decreases as radiation increases but the opposite scenario occurs with increases in the Prandtl number. The Sherwood number is heightened by an increase in the Schmidt number, reaction. Moreover, the numerical values of skin friction and the Nusselt number are compared with the previously published work, demonstrating excellent agreement between the results.

Citations

IRE Journals:
Mfebe, J. F. , Amoo, S. A. , Anyanwu, E. O "Cross-Diffusion Analysis of Heat and Mass Transfer Effects of Unsteady MHD Viscoelastic Flow Over Exponentially-Stretching Vertical and Inclined Porous Media" Iconic Research And Engineering Journals Volume 8 Issue 12 2025 Page 885-897

IEEE:
Mfebe, J. F. , Amoo, S. A. , Anyanwu, E. O "Cross-Diffusion Analysis of Heat and Mass Transfer Effects of Unsteady MHD Viscoelastic Flow Over Exponentially-Stretching Vertical and Inclined Porous Media" Iconic Research And Engineering Journals, 8(12)