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MHD free convection flow of a viscous fluid in a rotating system with damped thermal transport, Hall current and slip effects

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Abstract.

Unsteady hydromagnetic free convection flows of a rotating incompressible viscous fluid over an infinite moving plate with fractional thermal transport are studied in the presence of heat source, Hall current and slip velocity effects. The modern definition of the fractional integral Caputo-Fabrizio operator with non-singular kernel is used in the constitutive equation for the thermal flux and closed form solutions for the dimensionless temperature and velocity components are established by using the Laplace transform technique. For comparison, the solutions for the ordinary fluid as well as those corresponding to the no-slip condition on the boundary are also determined. The influence of fractional, magnetic, Hall and rotation parameters as well as that of heat generation/absorption coefficient on the fluid motion and the heat transfer is graphically underlined and discussed. It is found that the damping of the thermal transport has significant influence on the fluid temperature and motion. The Hall current mainly affects the secondary flow.

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Author information

Authors and Affiliations

  1. Abdus Salam School of Mathematical Science, GC University, Lahore, Pakistan

    Waqas Ali Azhar

  2. Academy of Romanian Scientists, 050094, Bucharest, Romania

    Constantin Fetecau

  3. Department of Theoretical Mechanics, Technical University of Iasi, Iasi, Romania

    Dumitru Vieru

Authors
  1. Waqas Ali Azhar
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  2. Constantin Fetecau
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  3. Dumitru Vieru
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Correspondence to Dumitru Vieru.

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Ali Azhar, W., Fetecau, C. & Vieru, D. MHD free convection flow of a viscous fluid in a rotating system with damped thermal transport, Hall current and slip effects. Eur. Phys. J. Plus 133, 353 (2018). https://doi.org/10.1140/epjp/i2018-12171-2

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  • DOI: https://doi.org/10.1140/epjp/i2018-12171-2

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