Simple waves in saturated porous media (I. The isothermal case)

A. Krylov; S. Sorek; A. Levy; G. Ben-Dor

doi:10.1299/jsmeb.39.294

Simple waves in saturated porous media (I. The isothermal case)

A. Krylov, S. Sorek, A. Levy, G. Ben-Dor

Department of Mechanical Engineering

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

16 Scopus citations

Abstract

In a previous paper (Bear et al. Fluid Dynamics Research, Vol. 9, pp. 155-164) a mathematical model was developed in order to analyze an abrupt pressure impact applied to a compressible fluid flowing through saturated, porous media under isothermal conditions. It was shown that during a certain time period following the onset of pressure change, the macroscopic fluid momentum balance equation conforms to a wave form. This paper presents a one-dimensional simple analytical solution to this wave equation. The wave equation is transformed to Euler's equation describing the motion of a "new" fluid with characteristics related to the former one.

Original language	English
Pages (from-to)	294-298
Journal	JSME International Journal, Series B: Fluids and Thermal Engineering
Volume	39
Issue number	2
DOIs	https://doi.org/10.1299/jsmeb.39.294
State	Published - 1 Jan 1996

Keywords

Abrupt Pressure Change
Euler's Equation
Homogeneous
Isothermal
Isotropic
Saturated Porous Media

ASJC Scopus subject areas

Mechanical Engineering
Physical and Theoretical Chemistry
Fluid Flow and Transfer Processes

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10.1299/jsmeb.39.294

Cite this

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AB - In a previous paper (Bear et al. Fluid Dynamics Research, Vol. 9, pp. 155-164) a mathematical model was developed in order to analyze an abrupt pressure impact applied to a compressible fluid flowing through saturated, porous media under isothermal conditions. It was shown that during a certain time period following the onset of pressure change, the macroscopic fluid momentum balance equation conforms to a wave form. This paper presents a one-dimensional simple analytical solution to this wave equation. The wave equation is transformed to Euler's equation describing the motion of a "new" fluid with characteristics related to the former one.

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Simple waves in saturated porous media (I. The isothermal case)

Abstract

Keywords

ASJC Scopus subject areas

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