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Effect of Hall current on the magnetohydrodynamic free convective flow between vertical walls with induced magnetic field

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Abstract.

The present work shows the effects of the Hall current as well as of the induced magnetic field on the fully developed free convective flow of a viscous incompressible and electrically conducting fluid between two non-conducting vertical walls. The basic non-dimensional governing equations, such as momentum, thermal energy and generalized Ohm’s law, have been solved analytically by using the suitable non-dimensional variables and parameters. After obtaining the exact solution of velocity, induced magnetic field and temperature field, we investigate the effects of the Hall current and of the Hartmann number on the primary and secondary components of velocity, induced magnetic field, induced current density, skin friction and mass flow rate of the fluid by using figures and tables. It is found that, as the Hall current increases, both components of the velocity increase while both components of the induced magnetic field and induced current density decrease.

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Authors and Affiliations

  1. Department of Mathematics, Institute of Science, Banaras Hindu University, 221005, Varanasi, India

    Dileep Kumar & A. K. Singh

  2. Department of Mathematics, JECRC University, 303905, Jaipur, Rajasthan, India

    Devendra Kumar

Authors
  1. Dileep Kumar
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  2. A. K. Singh
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  3. Devendra Kumar
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Correspondence to Devendra Kumar.

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Kumar, D., Singh, A.K. & Kumar, D. Effect of Hall current on the magnetohydrodynamic free convective flow between vertical walls with induced magnetic field. Eur. Phys. J. Plus 133, 207 (2018). https://doi.org/10.1140/epjp/i2018-12012-4

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  • DOI: https://doi.org/10.1140/epjp/i2018-12012-4

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