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Research Papers: Design and Analysis

Leakage Predictions for Static Gasket Based on the Porous Media Theory

[+] Author and Article Information
Pascal Jolly

 Ecole Polytechnique de Montréal, A103 C.P. 6079, succ; Centre-ville Montréal, Québec, H3C 3A7, Canadapascal-jolly@wanadoo.fr

Luc Marchand

 Ecole Polytechnique de Montréal, A103 C.P. 6079, succ; Centre-ville Montréal, Québec, H3C 3A7, Canadaluc.marchand@polymtl.ca

The tangential momentum accommodation coefficient σ is assumed to be equal to 1.

J. Pressure Vessel Technol 131(2), 021203 (Dec 10, 2008) (6 pages) doi:10.1115/1.3008031 History: Received June 11, 2007; Revised December 19, 2007; Published December 10, 2008

In the present work, the annular static gaskets are considered as porous media and Darcy’s law is written for a steady radial flow of a compressible gas with a first order slip boundary conditions. From this, a simple equation is obtained that includes Klinkenberg’s intrinsic permeability factor kv of the gasket and the Knudsen number Kno defined with a characteristic length . The parameters kv and of the porous gasket are calculated from experimental results obtained with a reference gas at several gasket stress levels. Then, with kv and , the inverse procedure is performed to predict the leakage rate for three different gases. It is shown that the porous media model predicts leak rates with the same accuracy as the laminar-molecular flow (LMF) model of Marchand However, the new model has the advantage of furnishing phenomenological information on the evolution of the intrinsic permeability and the gas flow regimes with the gasket compressive stress. It also enables quick identification of the part of leakage that occurs at the flange-gasket interface at low gasket stresses. At low gas pressure, the behavior of the apparent permeability diverges from that of Klinkenberg’s, indicating that the rarefaction effect becomes preponderant on the leak.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Annular section with e⪡(ro-ri)

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Figure 2

Apparent permeability versus dimensionless reciprocal mean pressure; FG gasket, Sg=83MPa, helium gas

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Figure 3

Apparent permeability of CA gasket at low compression stress (7MPa); helium gas

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Figure 4

Apparent permeability of FG gasket at low gas pressure; Sg=55MPa, helium gas

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Figure 5

Comparison between experimental and predicted leak rates for CA gasket. Reference gas: helium.

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Figure 6

Comparison between experimental and predicted mass leak rates for FG gasket. Reference gas: helium.

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Figure 7

Comparison between experimental and predicted mass leak rates for CA gasket. Reference gas: argon.

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Figure 8

Comparison between experimental and predicted mass leak rates for FG gasket. Reference gas: argon.

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Figure 9

Intrinsic permeability versus gasket stress; CA gasket (Specimen RJ9)

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Figure 10

Intrinsic permeability versus gasket stress; FG gasket (Specimen RJ10)

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