https://doi.org/10.1140/epjp/s13360-025-06799-8
Regular Article
Influence of thermal and radiative effects on MHD ferro-water nanofluid circulation across an exponential surface within a porous material
1
Department of Mathematics, GITAM (Deemed to Be University), 502329, Hyderabad, Telangana, India
2
Department of Mathematics, B V Raju Institute of Technology, Narsapur, Medak, Telangana, India
3
Department of Mathematics, CVR College of Engineering, Rangareddy, Telangana, India
4
Department of Mathematics, Mirpur University of Science and Technology, (MUST), 10250, Mirpur, Pakistan
5
Department of Physics, College of Science, Qassim University, P. O. Box 6644, 51452, Buraydah Almolaydah, Saudi Arabia
6
Department of Physics, College of Science, University of Ha’il, P.O. Box 2440, Ha’il, Saudi Arabia
Received:
2
July
2025
Accepted:
27
August
2025
Published online:
8
September
2025
This study investigates the influence of thermal radiation and magnetic field effects on magnetohydrodynamic (MHD) ferro-water nanofluid flow over an exponentially stretching surface embedded in a porous medium. The governing nonlinear partial differential equations, incorporating Darcy–Brinkman resistance, ferrofluid magnetization and Rosseland radiative heat flux, are transformed into ordinary differential equations via similarity transformations and solved numerically using finite element method. Results reveal that increasing the magnetic parameter 
from 0 to 5 reduces the dimensionless velocity by approximately 14.6% while enhancing the temperature by 9.8% due to Lorentz force-induced resistive heating. The radiation parameter 
increment from 0 to 1 elevates the temperature profile by 17.3% and decreases the local Nusselt number by 8.4%. Increasing nanoparticle volume fraction 
from 0.00 to 0.04 improves the heat transfer rate by 11.2%, while a higher Darcy number Da diminishes the momentum boundary layer. The study concludes that ferro-water nanofluids in porous media, under combined magnetic and radiative influences, exhibit controllable thermal and flow characteristics, which can be tailored for advanced thermal management, biomedical cooling, and energy system applications.
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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.
