Analytical Investigation of Magneto-Convective Solute Dispersion in a Vertical Channel under Bulk Chemical Reaction Effects

Nayan Biswas

Abstract: This study presents an analytical investigation of magneto-convective solute dispersion in a hydromagnetic natural convective flow through a vertical parallel-plate channel in the presence of a first-order bulk chemical reaction. Using Mei's multi-scale homogenization technique, explicit expressions are derived for the velocity field, solute concentration, and Taylor dispersion coefficient, incorporating the combined effects of Rayleigh number (Ra), Hartmann number (M), and reaction rate (K). The results indicate that increasing magnetic field strength enhances the Lorentz damping effect, which suppresses axial velocity and reduces solute mixing, while higher buoyancy forces associated with larger Ra enhance convection and axial dispersion. A critical transition in horizontal concentration distribution from tri-modal to bi-modal occurs around Ra ≈ 275, signifying a change in convective transport regime. The chemical reaction parameter acts as a reactive sink, exponentially diminishing solute intensity and lowering Taylor dispersivity, whereas prolonged dispersion times improve concentration uniformity. The study highlights the delicate interplay between magnetic confinement, buoyancy enhancement, and chemical consumption, providing a robust theoretical framework for understanding MHD-assisted reactive solute transport in vertical channels relevant to biomedical microflows, liquid?metal heat exchangers, and chemical processing systems.

Keywords: Hydromagnetic flow, Rayleigh number, Taylor dispersion, chemical reaction, natural convection, Mei's homogenization technique, solute transport, MHD vertical channel

How to Cite?: Nayan Biswas, "Analytical Investigation of Magneto-Convective Solute Dispersion in a Vertical Channel under Bulk Chemical Reaction Effects", Volume 14 Issue 10, October 2025, International Journal of Science and Research (IJSR), Pages: 990-997, https://www.ijsr.net/getabstract.php?paperid=SR251019234716, DOI: https://dx.doi.org/10.21275/SR251019234716