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Heat transfer through a rotating channel in porous medium

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Acta Physica Academiae Scientiarum Hungaricae

Abstract

A theoretical analysis of the hydrodynamic flow and its temperature distribution in a porous medium is presented for an incompressible viscous fluid in a rotating channel, bounded by two impermeable infinite parallel plates at a constant temperature, under the action of a uniform pressure gradient in the direction of the flow. An exact solution of the governing equations is obtained. The flow is governed by the Darcy’s number σ dependent on the permeabilityk of the medium and the Taylor numberT. The primary and the secondary flows, the temperature distribution, the shear stresses and the Nusselt number at the plates are studied in detail for various values of σ andT. In general, σ is found to have a stronger influence in reducing the mass flux and the temperature of the flow compared to rotation. For large values of σ (σ>10), there is no appreciable change in temperature and Nusselt number with rotation. When σ andT are large, the flow is confined to a boundary layer in the vicinity of the plates.

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Authors and Affiliations

  1. Department of Engineering Mathematics, Andhra University, Waltair, India

    V. Vidyanidhi & V. Dhananjaya Rao

Authors
  1. V. Vidyanidhi
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  2. V. Dhananjaya Rao
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Vidyanidhi, V., Rao, V.D. Heat transfer through a rotating channel in porous medium. Acta Physica 45, 179–189 (1978). https://doi.org/10.1007/BF03157249

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  • DOI: https://doi.org/10.1007/BF03157249

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