This study investigates the combined effects of porous medium properties, nanoparticle dynamics, and fluid characteristics on heat and mass transfer in nanofluid flow through a channel bounded by permeable walls. A comprehensive mathematical model is developed incorporating the Brinkman–Darcy momentum equation, energy and nanoparticle concentration equations, and key nanofluid transport mechanisms such as Brownian motion and thermophoresis. The resulting nonlinear boundary value problem is solved numerically using a robust BVP4C approach in MATLAB. Parametric analyses are conducted to assess the influence of the Schmidt number (Sc), porosity parameter (λ), Darcy number (Dc), Prandtl num... More >