Combined Effects of Viscous Dissipation, Joule Heating and Thermal Radiation on MHD Axisymmetric Flow of Power-Law Fluid over an Unsteady Stretching Sheet

Authors

  • Shazia Nazir Department of Mathematical Sciences, University of Engineering and Technology, Taxila, 47050, Pakistan.
  • Zaffer Elahi Department of Mathematical Sciences, University of Engineering and Technology, Taxila, 47050, Pakistan.
  • Tahir Naseem Government Degree College Khanpur, Haripur, 22620, Pakistan.

DOI:

https://doi.org/10.54938/ijemdm.2026.04.1.649

Keywords:

Power-law fluid; Joule heating; Viscous dissipation; Thermal radiation; Stretching sheet; Shooting method

Abstract

In this study, the axisymmetric unsteady magneto-hydrodynamic flow of power-law fluid is studied. The combined effects of viscous dissipation and joule heating are added in over a stretching sheet, and thermal radiation. A set of nonlinear partial differential equations is converted to A system of ordinary differential equations are solved by appropriate similarity transformations. The shooting method is used together with a numerical method to solve a boundary value problem. Using a 4th order Runge–Kutta method. The effect of the important dimensionless parameters such as the magnetic parameter, power-law index and the ratio of the magnetic field intensity to the initial seed magnetic field intensity are investigated. on the velocity and temperature, index, unsteadiness parameter, thermal radiation and Biot number. distributions is investigated in detail. Besides, the viscous dissipation effects were included in the analysis. The contribution of thermal through the Eckert number and Joule heating is considered. Enhancement in the boundary layer. The results showed that there was an increase in the magnetic field strength of the magnets as the number of magnets increased. parameter causes a significant decrease in the flow velocity, because of the resisting Lorentz force, and viscous parameter causes a significant decrease in the viscosity of the medium. dissipation and Joule heating contribute to an enhancement in the temperature field. Furthermore, the thickness of the thermal boundary layer is seen to increase as the thermal radiation increases. It is the important engineering quantities like skin friction coefficient and local Nusselt number. The same applies to finding the analyses of the parameters. The present study gives a detailed knowledge of the interaction of several physical processes on the flow of non-Newtonian fluids, might be useful in various industrial and engineering applications.

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References

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Published

2026-07-24

How to Cite

Nazir, S., Elahi, Z. ., & Naseem, T. (2026). Combined Effects of Viscous Dissipation, Joule Heating and Thermal Radiation on MHD Axisymmetric Flow of Power-Law Fluid over an Unsteady Stretching Sheet. International Journal of Emerging Multidisciplinaries: Mathematics, 4(1), 1–16. https://doi.org/10.54938/ijemdm.2026.04.1.649

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