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2017 Solvability of the Brinkman-Forchheimer-Darcy Equation
Piotr Skrzypacz, Dongming Wei
J. Appl. Math. 2017: 1-10 (2017). DOI: 10.1155/2017/7305230

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.

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Piotr Skrzypacz. Dongming Wei. "Solvability of the Brinkman-Forchheimer-Darcy Equation." J. Appl. Math. 2017 1 - 10, 2017. https://doi.org/10.1155/2017/7305230

Information

Received: 26 May 2017; Accepted: 19 June 2017; Published: 2017
First available in Project Euclid: 15 August 2017

zbMATH: 07037487
MathSciNet: MR3681316
Digital Object Identifier: 10.1155/2017/7305230

Rights: Copyright © 2017 Hindawi

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