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Solvability of the Brinkman-Forchheimer-Darcy Equation

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  • Piotr Skrzypacz
  • Dongming Wei

Abstract

The nonlinear Brinkman-Forchheimer-Darcy equation is used to model some porous medium flow in chemical reactors of packed bed type. The results concerning the existence and uniqueness of a weak solution are presented for nonlinear convective flows in medium with variable porosity and for small data. Furthermore, the finite element approximations to the flow profiles in the fixed bed reactor are presented for several Reynolds numbers at the non-Darcy’s range.

Suggested Citation

  • Piotr Skrzypacz & Dongming Wei, 2017. "Solvability of the Brinkman-Forchheimer-Darcy Equation," Journal of Applied Mathematics, Hindawi, vol. 2017, pages 1-10, July.
    • Handle: RePEc:hin:jnljam:7305230
    DOI: 10.1155/2017/7305230
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    Cited by:

    1. Kanognudge Wuttanachamsri, 2020. "Free Interfaces at the Tips of the Cilia in the One-Dimensional Periciliary Layer," Mathematics, MDPI, vol. 8(11), pages 1-16, November.

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