Analytical Investigation of Solute Dispersion in Combined Free-Forced Convective Flow with Wall Absorption and Bulk Chemical Reaction

Nayan Biswas

Abstract: This study presents an analytical investigation of solute dispersion phenomena in a fully developed laminar free and forced convective flow between two parallel plates, incorporating the simultaneous effects of wall absorption and bulk chemical reaction. The Mei multi-scale homogenization method is employed to derive closed-form analytical solutions of the convective?diffusion equation under a uniform temperature gradient along the channel walls. The influence of the Grashof number (G), representing buoyancy effects, on Taylor dispersivity, longitudinal, and transverse concentration distributions is comprehensively analyzed for both heating (G > 0) and cooling (G < 0) conditions. The results reveal that Taylor dispersivity remains identical for positive and negative values of the Grashof number, highlighting the symmetric influence of buoyancy on the overall dispersion process. It is observed that longitudinal solute concentration decreases with increasing buoyancy, while transverse concentration distribution exhibits an inverse behavior. Furthermore, boundary absorption and bulk chemical reaction are found to significantly reduce solute dispersivity, leading to attenuation of tracer concentration near reactive surfaces. Validation with existing analytical results demonstrates excellent agreement for the convective component of the dispersion coefficient. The outcomes of this research provide valuable insights into coupled convective?diffusive?reactive transport mechanisms, with potential implications for chemical process design, nuclear waste management, environmental pollution control, and biofluid engineering systems.

Keywords: Free and forced convection, Taylor dispersivity, Grashof number, Boundary absorption, Bulk chemical reaction, Multi-scale homogenization, Solute transport, Convective?diffusive flow, Reactive walls, Environmental fluid mechanics

How to Cite?: Nayan Biswas, "Analytical Investigation of Solute Dispersion in Combined Free-Forced Convective Flow with Wall Absorption and Bulk Chemical Reaction", Volume 14 Issue 11, November 2025, International Journal of Science and Research (IJSR), Pages: 1723-1730, https://www.ijsr.net/getabstract.php?paperid=SR251124120639, DOI: https://dx.doi.org/10.21275/SR251124120639