Solvability of the Brinkman-Forchheimer-Darcy Equation

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3 Citations (Scopus)

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.

Original languageEnglish
Article number7305230
JournalJournal of Applied Mathematics
Volume2017
DOIs
Publication statusPublished - Jan 1 2017

ASJC Scopus subject areas

  • Applied Mathematics

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