Exploring mixed convection in porous media: Thermal and flow behaviour

This study explores mixed convective flow within a porous medium, considering scenarios of heat generation or absorption. The focus is on solving the nonlinear differential equations that describe concentration, temperature, and velocity profiles, with graphical representations provided for each. Notably, this research addresses an area previously unexamined. By employing the regular perturbation method, solutions to the nonlinear ordinary differential equations, derived from the nondimensionalized governing equations, are achieved. Various factors significantly influence fluid flow parameters, revealing intriguing phenomena. The results offer valuable insights into velocity and temperature distributions across diverse porous characteristics, including thermal temperature, viscosity ratio, width ratio, conductivity ratio, and Grashof number. A decrease in velocity is observed due to factors such as the porous structure, viscosity variations, and conductance differences. Conversely, an increase in flow velocity is noted with higher Grashof numbers and width-to-height ratios.