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Nonlinear thermal instability in a horizontal porous layer with an internal heat source and mass flow

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Abstract

Linear and nonlinear stability analyses of Hadley–Prats flow in a horizontal fluid-saturated porous medium with a heat source are performed. The results indicate that, in the linear case, an increase in the horizontal thermal Rayleigh number is stabilizing for both positive and negative values of mass flow. In the nonlinear case, a destabilizing effect is identified at higher mass flow rates. An increase in the heat source has a destabilizing effect. Qualitative changes appear in R z as the mass flow moves from negative to positive for different internal heat sources.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Hyderabad, Hyderabad, Telangana, 502205, India

    A. Matta & P. A. L. Narayana

  2. Department of Biological, Biomedical and Analytical Sciences, University of the West of England, Bristol, BS16 1QY, UK

    A. A. Hill

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  1. A. Matta
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  2. P. A. L. Narayana
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  3. A. A. Hill
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Correspondence to A. A. Hill.

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Matta, A., Narayana, P.A.L. & Hill, A.A. Nonlinear thermal instability in a horizontal porous layer with an internal heat source and mass flow. Acta Mech 227, 1743–1751 (2016). https://doi.org/10.1007/s00707-016-1591-8

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  • DOI: https://doi.org/10.1007/s00707-016-1591-8

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