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On the Darcy–Brinkman–Boussinesq Flow in a Thin Channel with Irregularities

Transport in Porous Media volume 131, pages 633–660 (2020)Cite this article

Abstract

In this paper, we investigate the effects of a small boundary perturbation on the non-isothermal fluid flow through a thin channel filled with porous medium. Starting from the Darcy–Brinkman–Boussinesq system and employing asymptotic analysis, we derive a higher-order effective model given by the explicit formulae. To observe the effects of the boundary irregularities, we numerically visualize the asymptotic approximation for the temperature, whereas the justification and the order of accuracy of the model is provided by the theoretical error analysis.

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Acknowledgements

The authors of this work have been supported by the Croatian Science Foundation (Scientific Project 2735: Asymptotic analysis of boundary value problems in continuum mechanics—AsAn). The authors would like to thank the referee for his/her helpful comments and suggestions that helped to improve our paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička 30, 10000, Zagreb, Croatia

    Eduard Marušić-Paloka, Igor Pažanin & Marko Radulović

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  1. Eduard Marušić-Paloka
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  2. Igor Pažanin
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  3. Marko Radulović
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Correspondence to Igor Pažanin.

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Marušić-Paloka, E., Pažanin, I. & Radulović, M. On the Darcy–Brinkman–Boussinesq Flow in a Thin Channel with Irregularities. Transp Porous Med 131, 633–660 (2020). https://doi.org/10.1007/s11242-019-01360-5

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  • DOI: https://doi.org/10.1007/s11242-019-01360-5

Keywords

  • Boundary perturbation
  • Thin domain
  • Darcy–Brinkman–Boussinesq flow
  • Asymptotic solution
  • Error analysis