https://doi.org/10.1140/epjp/s13360-025-06477-9
Regular Article
Impacts of heat generation and Buoyancy forces on hyperbolic Tangent Magneto ferrofluid flow with Darcy–Forchheimer model over a nonlinear stretching sheet: RSM analysis
Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru, Karnataka, India
Received:
16
October
2024
Accepted:
24
May
2025
Published online:
24
June
2025
This paper presents a numerical investigation of the ferrofluid flow over a nonlinear stretching sheet. The main aim of this work is to investigate the heat and mass transfer analysis in the presence of thin radiation, Darcy–Forchheimer, heat generation, magnetic field and first-order chemical reactions. The nonlinear partial differential equations are converted into first-order ordinary differential equations by using similarity transformation. The obtained dimensionless equations are solved by using open software MATLAB (bvp4c) along with shooting technique. The effects of important parameters are analysed by graphs and tables. The derived quantities like skin friction, Nusselt number and Sherwood number are analysed by response surface methodology along with sensitivity. The statistical model demonstrated high predictive accuracy, with R2 values approaching 1.0 for all output responses. The observed pattern indicates that the magnetic field, power law index, porous medium, suction parameter and Darcy–Forchheimer number are reductions in boundary layer thickness. As Eckert number, Brownian motion, heat generation and thermophoresis parameter increase, the energy also increases, but the opposite trend was showing in thermal radiation. Polymer processing, metal forming, heat transfer enhancement, magnetohydrodynamic flows, thin film coating, industrial drying and biomedical applications use nonlinear stretching sheets to boost efficiency and improve product quality.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
