Investigating convective Darcy–Forchheimer flow in Maxwell Nanofluids through a computational study

Abstract

The increasing demand for thermal devices in industry necessitates enhanced heat transfer efficiency. This study examines the steady, two-dimensional, incompressible laminar MHD boundary layer flow of a nanofluid in water. A system of boundary value problems is formulated and addressed using similarity variables and a novel iterative method based on the operational matrix technique. The effectiveness of the numerical method is demonstrated by computing the local truncation error. The numerical method exhibits rapid convergence and low computational cost. It is both a direct and iterative approach. The study explores the impact of various parameters on concentration, temperature, and velocity profiles. Findings indicate that the porosity parameter and Prandtl number significantly influence temperature and concentration distribution, while the inertia coefficient has a comparatively minor effect. The analysis presents promising results with potential for further improvement in future research.

Keywords

• Darcy–Forchheimer flow
• Heat and mass transfer
• Maxwell nanofluid
• Stretching sheet
• Brownian motion