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Effects of Thermal Radiation, Heat Generation, and Induced Magnetic Field on Hydromagnetic Free Convection Flow of Couple Stress Fluid in an Isoflux-Isothermal Vertical Channel

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  • Hasan Nihal Zaidi
  • Mohammed Yousif
  • S. Nazia Nasreen

Abstract

The study scrutinizes the effects of thermal radiation, heat generation, and induced magnetic field on steady, fully developed hydromagnetic free convection flow of an incompressible viscous and electrically conducting couple stress fluid in a vertical channel. The channel walls are maintained at an isoflux-isothermal condition, such that the left channel wall is maintained at a constant heat flux. In contrast, the right channel wall is maintained at a constant temperature. The governing simultaneous equations are solved analytically utilizing the method of undetermined coefficient, and closed form solutions in dimensionless form have been acquired for the velocity field, the induced magnetic field, and the temperature field. The expression for the induced current density has been also obtained. A parametric study for the velocity, temperature, and induced magnetic field profiles, as well as for the skin-friction coefficient, Nusselt number, and induced current density, is conducted and discussed graphically.

Suggested Citation

  • Hasan Nihal Zaidi & Mohammed Yousif & S. Nazia Nasreen, 2020. "Effects of Thermal Radiation, Heat Generation, and Induced Magnetic Field on Hydromagnetic Free Convection Flow of Couple Stress Fluid in an Isoflux-Isothermal Vertical Channel," Journal of Applied Mathematics, Hindawi, vol. 2020, pages 1-12, September.
    • Handle: RePEc:hin:jnljam:4539531
    DOI: 10.1155/2020/4539531
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    Cited by:

    1. Kirusakthika, S. & Priya, S. & Hakeem, A.K. Abdul & Ganga, B., 2024. "MHD slip effects on (50:50) hybrid nanofluid flow over a moving thin inclined needle with consequences of non-linear thermal radiation, viscous dissipation, and inclined Lorentz force," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 50-66.

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