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 of the gasket and the Knudsen number defined with a characteristic length . The parameters and of the porous gasket are calculated from experimental results obtained with a reference gas at several gasket stress levels. Then, with 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 et al. 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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e-mail: pascal-jolly@wanadoo.fr
e-mail: luc.marchand@polymtl.ca
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April 2009
Research Papers
Leakage Predictions for Static Gasket Based on the Porous Media Theory
Pascal Jolly,
e-mail: pascal-jolly@wanadoo.fr
Pascal Jolly
Ecole Polytechnique de Montréal
, A103 C.P. 6079, succ; Centre-ville Montréal, Québec, H3C 3A7, Canada
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Luc Marchand
e-mail: luc.marchand@polymtl.ca
Luc Marchand
Ecole Polytechnique de Montréal
, A103 C.P. 6079, succ; Centre-ville Montréal, Québec, H3C 3A7, Canada
Search for other works by this author on:
Pascal Jolly
Ecole Polytechnique de Montréal
, A103 C.P. 6079, succ; Centre-ville Montréal, Québec, H3C 3A7, Canadae-mail: pascal-jolly@wanadoo.fr
Luc Marchand
Ecole Polytechnique de Montréal
, A103 C.P. 6079, succ; Centre-ville Montréal, Québec, H3C 3A7, Canadae-mail: luc.marchand@polymtl.ca
J. Pressure Vessel Technol. Apr 2009, 131(2): 021203 (6 pages)
Published Online: December 10, 2008
Article history
Received:
June 11, 2007
Revised:
December 19, 2007
Published:
December 10, 2008
Citation
Jolly, P., and Marchand, L. (December 10, 2008). "Leakage Predictions for Static Gasket Based on the Porous Media Theory." ASME. J. Pressure Vessel Technol. April 2009; 131(2): 021203. https://doi.org/10.1115/1.3008031
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