AccScience Publishing / NSCE / Online First / DOI: 10.36922/NSCE025320009
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RESEARCH ARTICLE

Magnetohydrodynamic mixed convective flow with thermal radiation and viscous dissipation: A homotopy perturbation approach

Babulal Talukdar1 ,  Gopinath Mandal2*
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1 Department of Mathematics, Saheed Nurul Islam Mahavidyalaya, Swarupnagar, West Bengal, India
2 Department of Mathematics, Siksha Satra, A Central University of National Importance, Sriniketan, West Bengal, India
NSCE 2025, 1(2), 025320009 https://doi.org/10.36922/NSCE025320009
Received: 6 August 2025 | Revised: 12 September 2025 | Accepted: 23 September 2025 | Published online: 18 December 2025
© 2025 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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Abstract

This study investigates the heat transfer characteristics of magnetohydrodynamic boundary-layer flow along a vertical surface, incorporating the effects of mixed convection, thermal radiation, viscous dissipation, and internal heat generation. The governing partial differential equations are transformed into dimensionless ordinary differential equations using appropriate dimensionless variables, and an analytical solution to these equations is obtained using the homotopy perturbation method. Various graphs illustrating velocity, temperature, skin friction, and heat transfer rate are presented and analyzed in detail. The findings reveal that increasing the radiation parameter reduces the skin friction coefficient by approximately 15.15% and the heat transfer rate by about 10%. The heat source parameter substantially increases the skin friction coefficient (by 72.84%) and the Nusselt number (by 87.80%). Furthermore, higher Eckert numbers raise the temperature profiles, whereas stronger magnetic fields and heat source parameters diminish the velocity profiles. The Prandtl number also plays a crucial role, with higher values resulting in a thinner thermal boundary layer. Consequently, the radiation parameter, heat generation, and Prandtl number are identified as key factors that enhance the model’s performance. These results contribute to the development of advanced energy systems, industrial heat exchangers, and efficient cooling techniques.

Keywords
Heat generation
Homotopy perturbation method
Magnetic field
Mixed convection
Thermal radiation
Viscous dissipation
Funding
None.
Conflict of interest
The authors declare that they have no competing interests.
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