Derivation of Forchheimer terms and their verification by application to waves propagation in porous media

A. Levy; D. Levi-Hevroni; S. Sorek; G. Ben-Dor

doi:10.1016/S0301-9322(98)00031-7

Derivation of Forchheimer terms and their verification by application to waves propagation in porous media

A. Levy, D. Levi-Hevroni, S. Sorek, G. Ben-Dor

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

Forchheimer terms are developed for the macroscopic momentum and energy balance equations considering saturated thermoelastic porous media, and for the macroscopic momentum balance equations in the case of multiphase porous media. It is shown that these terms represent the exchange between the interacting phases at their common interface. Using these Forchheimer terms, a very good agreement was evident when the 1-D numerical simulation of the propagation of compaction waves in a saturated thermoelastic porous medium was compared with shock tube experiments.

Original language	English
Pages (from-to)	683-704
Number of pages	22
Journal	International Journal of Multiphase Flow
Volume	25
Issue number	4
DOIs	https://doi.org/10.1016/S0301-9322(98)00031-7
State	Published - 1 Jun 1999

Keywords

1-D numerical simulation
Compaction and shock waves
Forchheimer terms
Mass, momentum and energy balance equations
Saturated or multiphase porous media
Shock tube experiments

ASJC Scopus subject areas

Mechanical Engineering
Physics and Astronomy (all)
Fluid Flow and Transfer Processes

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10.1016/S0301-9322(98)00031-7

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abstract = "Forchheimer terms are developed for the macroscopic momentum and energy balance equations considering saturated thermoelastic porous media, and for the macroscopic momentum balance equations in the case of multiphase porous media. It is shown that these terms represent the exchange between the interacting phases at their common interface. Using these Forchheimer terms, a very good agreement was evident when the 1-D numerical simulation of the propagation of compaction waves in a saturated thermoelastic porous medium was compared with shock tube experiments.",

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AU - Levi-Hevroni, D.

AU - Sorek, S.

AU - Ben-Dor, G.

PY - 1999/6/1

Y1 - 1999/6/1

N2 - Forchheimer terms are developed for the macroscopic momentum and energy balance equations considering saturated thermoelastic porous media, and for the macroscopic momentum balance equations in the case of multiphase porous media. It is shown that these terms represent the exchange between the interacting phases at their common interface. Using these Forchheimer terms, a very good agreement was evident when the 1-D numerical simulation of the propagation of compaction waves in a saturated thermoelastic porous medium was compared with shock tube experiments.

AB - Forchheimer terms are developed for the macroscopic momentum and energy balance equations considering saturated thermoelastic porous media, and for the macroscopic momentum balance equations in the case of multiphase porous media. It is shown that these terms represent the exchange between the interacting phases at their common interface. Using these Forchheimer terms, a very good agreement was evident when the 1-D numerical simulation of the propagation of compaction waves in a saturated thermoelastic porous medium was compared with shock tube experiments.

KW - 1-D numerical simulation

KW - Compaction and shock waves

KW - Forchheimer terms

KW - Mass, momentum and energy balance equations

KW - Saturated or multiphase porous media

KW - Shock tube experiments

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JO - International Journal of Multiphase Flow

JF - International Journal of Multiphase Flow

SN - 0301-9322

IS - 4

ER -

Derivation of Forchheimer terms and their verification by application to waves propagation in porous media

Abstract

Keywords

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