arXiv:1610.08646 Abstract | arXiv Analytics

arXiv:1610.08646 [math.AP]Abstract References Reviews Resources

On the solvability of the Brinkman-Forchheimer-extended Darcy equation

Published 2016-10-27Version 1

The nonlinear Brinkman-Forchheimer-extended 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 nonconstant 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.

Comments: 15 pages, 2 figures

Categories: math.AP

Subjects: 76D03, 35Q35

Keywords: solvability, nonlinear brinkman-forchheimer-extended darcy equation, finite element approximations, non-darcys range, reynolds numbers

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