Modeling of Dissolved Gas Effect on Liquid Transients

[+] Author and Article Information
Mohand Kessal1

Département Transport et Equipement Pétrolier, Faculté des Hydrocarbures et de la Chimie,  Universite de Boumerdès, Boumerdès 35000, Algeriam.kessal@voilà.fr

Rachid Bennacer

Laboratoire Matériaux et Sciences des Constructions,  Université Cergy-Pontoise, Paris, France


Author to whom Correspondence should be addressed.

J. Appl. Mech 73(1), 112-119 (Jun 04, 2005) (8 pages) doi:10.1115/1.1992513 History: Received July 14, 2004; Revised June 04, 2005

Transient cavitation of a homogeneous gas-liquid mixture flow is modeled for an elastic pipeline by using the classical conservation equations of each phase, which are, later on, written in dimensionless form. The later is resolved by a second order finite difference scheme for which a flux corrective transport algorithm is added as an additional step, in order to accomplish a suitable treatment of the shock problem. The flow gives rise to a localized vapor+gas cavity for which time and space expansion is calculated from the corresponding compatibility relation, continuity equation and ideal gas law. Also, effect of the degassing phenomenon, on this cavity and on the dynamic parameters, is reproduced from a macroscopic bubble growth model. Obtained results are discussed and compared with ones given by experimental data.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

The characteristic lines in the x,t plan

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Figure 2

Linear interpolation on Δt constant grid

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Figure 3

Finite differences scheme

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Figure 4

(a) Experimental pipe system with upstream valve closure, (b) experimental pipe system with downstream valve closure

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Figure 5

(a) Pressure response at point x=0, for Co=0.02, (b) pressure response at point x=0, for Co=0.59, (c) pressure response at point x=0, for Co=1.15

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Figure 6

Time cavity volume expansion at point x=0, for Co=0.02, 0.6 and 1.15

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Figure 7

(a) Pressure response at point x=L, for Co=0.02, (b) pressure response at point x=L, for Co=0.59, (c) pressure response at point x=L, for Co=1.27

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Figure 8

Time cavity volume expansion at point x=L, for Co=0.02, 0.56 and 1.27

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Figure 9

Bubble growth in gas saturated fluid

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Figure 10

Cavity position in mesh grid x,t



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