Fuzzy-based numerical investigation of MHD nanofluid flow over a stretching surface with darcy-forchheimer porous medium efects

Fallah, Alimohammad; Talebi Rostam, Yahya; Ramya, N Ramya

doi:10.22080/cjms.2025.29539.1766

Fuzzy-based numerical investigation of MHD nanofluid flow over a stretching surface with darcy-forchheimer porous medium efects

Document Type : Research Articles

Authors

¹ Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran.

² Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran.

³ Department of Mathematics, Kongu Engineering College, Erode 638060, India.

10.22080/cjms.2025.29539.1766

Abstract

This paper presents a numerical study on the steady two-dimensional flow of a magnetohydrodynamic (MHD) nanofluid over a convective stretching surface embedded within a porous medium, accounting for nonlinear Darcy--Forchheimer resistance. To effectively address uncertainties in critical physical parameters such as magnetic field strength and porous medium permeability, fuzzy set theory is applied. The governing boundary layer equations containing fuzzy parameters are converted into nonlinear fuzzy ordinary differential equations through similarity transformations and solved using the \(\alpha\)-cut technique. The results indicate that increases in the fuzzy magnetic field and Darcy--Forchheimer parameters lead to elevated velocity and microrotation profiles, while temperature and nanoparticle concentration profiles decrease. The fuzzy approach provides uncertainty intervals around these predictions, offering valuable insights for engineering designs involving nanofluid flows under imprecise conditions.

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