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A computational study of three-dimensional laminar boundary layer flow and forced convective heat transfer in a porous medium

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Abstract

We study the stagnation point boundary layer flow in a three-dimensional space with forced convection heat transfer in a porous medium. The local thermal non-equilibrium (LTNE) model is considered due to a hot (cold) fluid flowing in cold (hot) porous medium for which we take two different but coupled heat transport equations. The governing equations that describe the physical mechanism are solved numerically using the Chebyshev collocation method, and the results are qualitatively confirmed by predicting their far-field asymptotic analysis. In the asymptotic analysis, the governing equations are linearized about the edge of boundary layers and using the computational linear algebraic approach, and the solutions are expressed using the confluent hypergeometric functions of first kind. The results show that the thicknesses of both momentum and thermal boundary layers are found to be thinning for the three-dimensionality and porous parameters. The temperature of fluid and solid medium is identical at pore level when the interface heat transfer rate and porosity scaled are held large, and for an opposite case, the LTNE influences are rather strong. Due to lack of comparison of the present results, the stability analysis is performed on LTNE three-dimensional boundary layer solutions to show all the obtained solutions are practically feasible. The physical dynamics behind these interesting mechanisms are discussed in detail.

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Acknowledgements

Authors would like to thank both esteem reviewers for educative comments which improves the quality of the article.

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Authors and Affiliations

  1. Department of Mathematics, M. S. Ramaiah Institute of Technology, Bengaluru, 560 054, Karnataka, India

    Shashi Prabha Gogate S.

  2. Department of Mathematics, Bengaluru City University, Central College Campus, Bengaluru, 560 001, Karnataka, India

    Bharathi M. C.,  Noor-E-Misbah & Ramesh B. Kudenatti

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  1. Shashi Prabha Gogate S.
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  2. Bharathi M. C.
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  3. Noor-E-Misbah
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S., S. . ., C., B.M., Noor-E-Misbah et al. A computational study of three-dimensional laminar boundary layer flow and forced convective heat transfer in a porous medium. Arch Appl Mech 93, 551–569 (2023). https://doi.org/10.1007/s00419-022-02285-0

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