Thermal Entropy Generation in Magnetized Radiative Flow Through Porous Media Over a Stretching Cylinder: An RSM-Based Study

Shobha Visweswara, Baskar Palani, Fatemah H. H. Al Mukahal (), S. Suresh Kumar Raju, Basma Souayeh and Sibyala Vijayakumar Varma
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Shobha Visweswara: Department of Mathematics, New Horizon College of Engineering, Bengaluru 560103, Affiliated to Visvesvaraya Technological University, Belagavi 590018, Karnataka, India
Baskar Palani: Department of Mathematics, New Horizon College of Engineering, Bengaluru 560103, Affiliated to Visvesvaraya Technological University, Belagavi 590018, Karnataka, India
Fatemah H. H. Al Mukahal: Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Ahsa 31982, Saudi Arabia
S. Suresh Kumar Raju: Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Ahsa 31982, Saudi Arabia
Basma Souayeh: Department of Physics, College of Science, King Faisal University, Al-Ahsa 31982, Saudi Arabia
Sibyala Vijayakumar Varma: Department of Mathematics, REVA Research Center, REVA University, Bengaluru 560064, Karnataka, India

Mathematics, 2025, vol. 13, issue 19, 1-30

Abstract: Magnetohydrodynamic (MHD) flow and heat transfer in porous media are central to many engineering applications, including heat exchangers, MHD generators, and polymer processing. This study examines the boundary layer flow and thermal behavior of an electrically conducting viscous fluid over a porous stretching tube. The model accounts for nonlinear thermal radiation, internal heat generation/absorption, and Darcy–Forchheimer drag to capture porous medium resistance. Similarity transformations reduce the governing equations to a system of coupled nonlinear ordinary differential equations, which are solved numerically using the BVP4C technique with Response Surface Methodology (RSM) and sensitivity analysis. The effects of dimensionless parameters magnetic field strength (M), Reynolds number (Re), Darcy–Forchheimer parameter (Df), Brinkman number (Br), Prandtl number (Pr), nonlinear radiation parameter (Rd), wall-to-ambient temperature ratio (rw), and heat source/sink parameter (Q) are investigated. Results show that increasing M, Df, and Q suppresses velocity and enhances temperature due to Lorentz and porous drag effects. Higher Re raises pressure but reduces near-wall velocity, while rw, Rd, and internal heating intensify thermal layers. The entropy generation analysis highlights the competing roles of viscous, magnetic, and thermal irreversibility, while the Bejan number trends distinctly indicate which mechanism dominates under different parameter conditions. The RSM findings highlight that rw and Rd consistently reduce the Nusselt number (Nu), lowering thermal efficiency. These results provide practical guidance for optimizing energy efficiency and thermal management in MHD and porous media-based systems.:

Keywords: stretching porous cylindrical surface; inclined magnetic field; heat source/sink parameter; Darcy–Forchheimer parameter; entropy generation analysis; nonlinear radiation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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