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Unsteady hydromagnetic thermal boundary layer flow

II: No heat transfer

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Abstract

With viscous dissipation and Joule heating taken into account, solution of the energy equation is obtained for unsteady hydromagnetic thermal boundary layer flow past a porous wall (e.g., surface of a star) in presence of a transverse magnetic field, under the condition of zero heat transfer between the fluid and the boundary — the so-called ‘plate thermometer problem’ in MHD. Solution of the problem, in the form of power series, is obtained under certain valid simplifying assumptions, when (i) the wall is subjected to a normal velocity of suction/injection which is proportional tot −1/2, and (ii) the wall has a velocity given by αt n. The variation of temperature is shown graphically and is followed by a quantitative discussion therein also signifying the importance of retaining the Joule heating term in the energy equation.

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Authors and Affiliations

  1. Department of Mechanics, University of Patras, Greece

    G. C. Pande, N. Kafousias & C. L. Goudas

Authors
  1. G. C. Pande
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  2. N. Kafousias
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  3. C. L. Goudas
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Additional information

Part I is the article inAstrophysics and Space Science, Vol.45, No. 2, 1976, pp. 397–410.

On study-leave from Defence Science Laboratory, Delhi, India.

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Pande, G.C., Kafousias, N. & Goudas, C.L. Unsteady hydromagnetic thermal boundary layer flow. Astrophys Space Sci 50, 141–152 (1977). https://doi.org/10.1007/BF00648526

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  • DOI: https://doi.org/10.1007/BF00648526

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