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

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dc.contributor.authorSyam, Mahmmoud M.
dc.contributor.authorMorsi, Farah
dc.contributor.authorAbu Eida, Ayaha
dc.contributor.authorSyam, Muhammed I.
dc.date.accessioned2025-12-04T06:36:09Z
dc.date.available2025-12-04T06:36:09Z
dc.date.issued2024-09-11
dc.descriptionThe movement of fluid through porous media due to heat transfer is crucial in thermal insulation materials, nuclear waste management, solar collectors, and energy storage systems. Research indicates that most studies on porous media utilize classical Darcy’s law, which applies to situations with low velocities and small porosities. However, Darcy’s law fails when inertial and boundary effects become significant at higher flow rates, particularly when the Reynolds number exceeds unity, leading to nonlinear flow. To address these limitations, Forchheimer introduced a square velocity term to account for these effects, a term later called the “Forchheimer term” by Muskat, applicable for high Reynolds numbers. High filtration velocities result in quadratic drag in porous media, as explored by Seddeek in the context of thermophoresis and viscous dissipation in Darcy–Forchheimer flow and by Pal and Mondal in hydromagnetic flow
dc.description.abstractThe 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
dc.identifier.citationSyam, M. M., Morsi, F., Eida, A. A., & Syam, M. I. (2024). Investigating convective Darcy–Forchheimer flow in Maxwell nanofluids through a computational study. Partial Differential Equations in Applied Mathematics, 11, 100863.‏
dc.identifier.doihttps://doi.org/10.1016/j.padiff.2024.100863
dc.identifier.urihttps://repository.adu.ac.ae/handle/1/7815
dc.language.isoen
dc.publisherElsevier
dc.titleInvestigating convective Darcy–Forchheimer flow in Maxwell Nanofluids through a computational study
dc.typeArticle

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