Thermal Control and Cooling Enhancement using Prescribed Surface Temperature (PST) and Prescribed Heat Flux (PHF) in Radiative MHD Boundary Layer Flow over a Permeable Shrinking Sheet

Authors

DOI:

https://doi.org/10.53799/6vfxjj89

Keywords:

Heat source/sink, Mass suction, MHD boundary layer, Prescribed Surface Temperature, Prescribed Heat flux, Radiation

Abstract

This study investigates the heat transfer characteristics under the influence of Prescribed Surface Temperature (PST) and Prescribed Heat Flux (PHF) thermal conditions on steady, two-dimensional, magnetohydrodynamic boundary layer flow of an electrically conducting fluid over a permeable shrinking sheet embedded in a porous medium, considering the presence of mass suction, thermal radiation, and heat source/sink. The formulated governing equations are transformed, using similarity transformation, to a system of ordinary differential equations. The equations are linearized via the regular perturbation technique, and the resulting equations are solved analytically. The influence of the various flow parameters on the velocity and temperature profiles under the two heating conditions is shown in the form of graphs, while the trends in quantities of physical significance, such as skin friction and Nusselt number, with some flow parameters, are analyzed via tables. The findings demonstrate that suction stabilizes boundary layer flow across a diminishing sheet and highlight the magnetic field's importance as a flow control parameter. Furthermore, the temperature profiles show that the PHF scenario consistently generates higher temperatures than the PST example, resulting in thicker thermal boundary layers. Also, the suction and Prandtl parameters are the most effective mechanisms for boosting heat transfer. It was also found that radiation and heat sources impede heat transmission.

Author Biographies

  • Innocent Chukwuemeka Emeziem, Michael Okpara University of Agriculture

    Department of Mathematics and Statistics

    Lecturer 1

  • Uchenna Uka, Babcock University

    Basic Sciences Department

    Lecturer 1

  • Edwin Esekhaigbe, University of Africa Toru-Orua

    Department of Mathematics and Computer Science

    Senior Lecturer

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Published

31-07-2026

How to Cite

[1]
“Thermal Control and Cooling Enhancement using Prescribed Surface Temperature (PST) and Prescribed Heat Flux (PHF) in Radiative MHD Boundary Layer Flow over a Permeable Shrinking Sheet”, AJSE, vol. 24, no. 3, pp. 272–286, Jul. 2026, doi: 10.53799/6vfxjj89.