Heat and Fluid Flow Analysis in a Porous Annular System Under Mixed Convection Flow

Heat and Fluid Flow Analysis in a Porous Annular System Under Mixed Convection Flow

Heat and Fluid Flow Analysis in a Porous Annular System Under Mixed Convection Flow

¹Mkpedem K. A.; ²Olayiwola R . O; ³FADEPO J. T
Department of Industrial Mathematics, Federal university of Technology, Minna, Niger State. Nigeria
Corresponding author: *kufremkpedem@gmail.com, olayiwola.rasaq@Futminna.edu.ng, fadepoj@gmail.com

Abstract
This study presents an analytical investigation of transient mixed convection flow of an incompressible viscous fluid in a vertical concentric annulus filled with porous materials. A mathematical model governing the flow and heat transfer processes was formulated based on the momentum and energy equations under several assumptions, Boussinesq approximation and fully developed laminar flow conditions. The governing partial differential equations corresponding to momentum and energy equations were non-dimensionalized using relevant dimensionless parameters such as the Grashof number, Reynolds number, Peclet number, and magnetic field parameter. The existence and uniqueness of the solution to the model were established, ensuring the validity of the mathematical formulation. Analytical solutions were then obtained using suitable transformation techniques. The influence of key physical parameters on velocity and temperature distributions was examined through graphical analysis. The results reveal that an increase in the magnetic field parameter reduces fluid velocity, while higher Grashof and Reynolds numbers enhance the flow velocity. Conversely, an increase in the Peclet number leads to a decrease in velocity but an increase in temperature distribution within the annulus. This study contributes to the understanding of transport phenomena in porous annular systems and provides useful insights for optimizing engineering processes involving heat and mass transfer in porous media.

Keywords: Mixed Convection Flow, Porous Annulus, Magnetic Field Effect, Heat Transfer, Parameters

DOI: https://doi.org/10.46654/v4n8-125014