The prediction of leak rate through porous gaskets for different gases based on test conducted on a reference gas can prevent bolted joint leakage failure and save the industry lots of money. This work gives a basic comparison between different gas flow models that can be used to predict leak rates through porous gasket materials. The ability of a model to predict the leak rate at the micro- and nanolevels in tight gaskets relies on its capacity to incorporate different flow regimes that can be present under different working conditions. Four models based on Navier–Stokes equations that incorporate different boundary conditions and characterize specific flow regime are considered. The first- and second-order slip, diffusivity, and molecular flow models are used to predict and correlate leak rates of gases namely helium, nitrogen, SF6, methane, argon, and air passing through three frequently used porous gasket materials which are flexible graphite, polytetrafluoroethylene (PTFE), and compressed fiber. The methodology is based on the determination experimentally of the porosity parameter (N and R) of the microchannels assumed to simulate the leak paths present in the gasket using helium as the reference gas. The predicted leak rates of different gases at different stresses and pressure levels are confronted to the results obtained experimentally by measurements of leak rates using pressure rise and mass spectrometry techniques. The results show that the predictions depend on the type of flow regime that predominates. Nevertheless, the second-order slip model is the one that gives better agreements with the measured leaks in all cases.

References

1.
Gu
,
B. Q.
,
1999
, “
Application of Model of Gases Flowing Through Porous Media to Gasket Sealing
,”
J. Nunjing Univ. Chem. Technol.
,
21
(
1
), pp.
19
22
(in Chinese).
2.
Wang
,
S.
,
2000
, “
Sealing Model of Nonmetallic Gaskets and Calculation of Leakage Rate of Bolted Flanged Connections
,” Master thesis, Nanjing University of Technology, Xuanwu District, China.
3.
Payne
,
J. R.
,
1985
, “
PVRC Flanged Joint User Survey
,”
Welding Research Council
, New
York, WRC Bulletin 309
.
4.
Shabtai
,
A.
,
Elovici
,
Y.
, and
Rokach
,
L.
,
2012
,
A Survey of Data Leakage Detection and Prevention Solutions
,
Springer Science & Business Media
,
New York
.
5.
Masi
,
V.
,
Bouzid
,
A.
, and
Derenne
,
M.
,
1998
, “
Correlation Between Gases and Mass Leak Rate of Gasketing Materials
,”
1998 ASME/JSME PVP Conference
,
San Diego, CA
, PVP Vol. 367, Analysis of Bolted Joints, pp.
17
24
.
6.
Jolly
,
P.
, and
Marchand
,
L.
,
2009
, “
Leakage Predictions for Static Gasket Based on the Porous Media Theory
,”
ASME J. Pressure Vessel Technol.
,
131
(
2
), p.
021203
.
7.
Grine
,
L.
, and
Bouzid
,
A.
,
2011
, “
Correlation of Gaseous Mass Leak Rates Through Micro and Nanoporous Gasket
,”
ASME J. Pressure Vessel Technol.
,
133
(
2
), p.
021402
.
8.
Grine
,
L.
, and
Bouzid
,
A.
,
2011
, “
Liquid Leak Predictions in Micro and Nano Porous Gaskets
,”
ASME J. Pressure Vessel Technol.
,
133
(
5
), p.
051402
.
9.
Kazeminia
,
M.
, and
Bouzid
,
A.
,
2016
, “
Predicting Leakage in Packed Stuffing Boxes
,”
23rd International Conference on Fluid Sealing
,
BHR Group, Manchester, UK
,
Mar. 2–3
, pp.
45
59
.
10.
Dongari
,
N.
, and
Agrawal
,
A.
,
2012
, “
Modeling of Navier–Stokes Equations for High Knudsen Number Gas Flows
,”
Int. J. Heat Mass Transfer
,
55
(
15–16
), pp.
4352
4358
.
11.
Beskok
,
A.
, and
Karniadakis
,
G.
,
1999
, “
A Model for Flows in Channels, Pipes, and Ducts at Micro and Nano Scales
,”
J. Microscale Thermophys. Eng.
,
3
(
1
), pp.
43
77
.
12.
Xue
,
H.
,
Fan
,
Q.
, and
Shu
,
C.
,
2000
, “
Prediction of Micro-Channel Flows Using Direct Simulation Monte Carlo
,”
J. Probab. Eng. Mech.
,
15
(
2
), pp.
213
219
.
13.
Sbragaglia
,
M.
, and
Succi
,
S.
,
2005
, “
Analytical Calculation of Slip Flow in Lattice Boltzmann Models With Kinetic Boundary Conditions
,”
J. Phys. Fluids
,
17
(
9
), p.
093602
.
14.
Aweimer
,
A. S. O.
, and
Bouzid
,
A.-H.
,
2019
, “
Evaluation of Interfacial and Permeation Leaks in Gaskets and Compression Packing
,”
ASME J. Nucl. Eng. Radiat. Sci.
,
5
(
1
), p.
011013
.
15.
Haruyama
,
S.
,
Nurhadiyanto
,
D.
,
Choiron
,
M. A.
, and
Kaminishi
,
K.
,
2013
, “
Influence of Surface Roughness on Leakage of New Metal Gasket
,”
Int. J. Pressure Vessels Piping
,
111–112
, pp.
146
154
.
16.
Boqin
,
G.
,
Ye
,
C.
, and
Dasheng
,
Z.
,
2007
, “
Prediction of Leakage Rates Through Sealing Connections With Nonmetallic Gaskets
,”
Chin. J. Chem. Eng.
,
15
(
6
), pp.
837
841
.
17.
Djordjevic
,
V.
,
2008
, “
Modeling of the Slip Boundary Condition in Micro-Channel/Pipe Flow Via Fractional Derivative
,”
Monogr. Acad. Nonlinear Sci.
,
2
, pp.
136
158
.http://www2.masfak.ni.ac.rs/uploads/articles/www2_004kor_vladan_djordjevic_engleski.pdf
18.
Abid
,
M.
,
Chattha
,
J. A.
,
Khan
,
K. A.
, and
Wajid
,
H. A.
,
2014
, “
Sealing Performance of Gasketed Flange Joints–a Parametric Study
,”
IIUM Eng. J.
,
15
(
2
), pp.
59
67
.
19.
Kobayashi
,
T.
,
Nishida
,
T.
, and
Yamanaka
,
Y.
,
2002
, “
Simplified Sealing Test Procedure of Gaskets Based on Compressive Strain
,”
ASME
Paper No. PVP2002-1079.
20.
Marchand
,
L.
,
Derenne
,
M.
, and
Masi
,
V.
,
2005
, “
Predicting Gasket Leak Rates Using a Laminar-Molecular Flow Model
,”
ASME
Paper No. PVP2005-71389.
21.
Tison
,
S. A.
,
1993
, “
Experimental Data and Theoretical Modeling of Gas Flows Through Metal Capillary Leaks
,”
Vacuum
,
44
(
11–12
), pp.
1171
1175
.
22.
Maurer
,
J.
,
Tabeling
,
P.
,
Joseph
,
P.
, and
Willaime
,
H.
,
2003
, “
Second-Order Slip Laws in Microchannels for Helium and Nitrogen
,”
Phys. Fluids
,
15
(
9
), pp.
2613
2621
.
23.
Araki
,
T.
,
Kim
,
M. S.
,
Iwai
,
H.
, and
Suzuki
,
K.
,
2002
, “
An Experimental Investigation of Gaseous Flow Characteristics in Microchannels
,”
Nanoscale Microscale Thermophys. Eng.
,
6
(
2
), pp.
117
130
.
24.
Dongari
,
N.
,
Sharma
,
A.
, and
Durst
,
F.
,
2009
, “
Pressure-Driven Diffusive Gas Flows in Micro-Channels: From the Knudsen to the Continuum Regimes
,”
Microfluid. Nanofluid.
,
6
(
5
), pp.
679
692
.
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