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Onset of triply diffusive convection in a power-law fluid saturated porous layer

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Abstract

The linear instability of triply diffusive power-law fluid saturated porous layer is investigated. The modified Darcy’s law and the Oberbeck–Boussinesq approximation are adopted for modeling the buoyant flow. The governing equations studied at varous pahycial parameters of power-law fluid. It is found that for minimal values of Péclet number, the pseudoplastic fluids are more stable than the Newtonian fluids, while the dilatant fluids are less stable. An opposite behavior is observed at large values of Péclet number. The asymptotic cases in the regime of small wave number and small Péclet number are discussed in detail. In these regimes, an analytical expression is obtained for the marginal stability condition.

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Authors and Affiliations

  1. Department of Applied Sciences, National Institute of Technology Goa, Ponda, India

    Gundlapally Shiva Kumar Reddy & Ragoju Ravi

  2. Department of Mathematics, Faculty of Science and Technology, The ICFAI Foundation for Higher Education, Hyderabad, India

    Anjanna Matta

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  1. Gundlapally Shiva Kumar Reddy
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  2. Ragoju Ravi
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  3. Anjanna Matta
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Correspondence to Gundlapally Shiva Kumar Reddy.

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Reddy, G.S.K., Ravi, R. & Matta, A. Onset of triply diffusive convection in a power-law fluid saturated porous layer. Meccanica 57, 2269–2280 (2022). https://doi.org/10.1007/s11012-022-01559-9

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  • DOI: https://doi.org/10.1007/s11012-022-01559-9

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