Leak rate calculation

This formula is valid for the throughput of a compressible fluid (gas) thru a leak in a pressurized vessel. It is:

Mass flow: Formel Massenstrom
Volume flow: Formel Volumenstrom
Leak rate: Formel Leckrate

With:

Α: Leak area
Ψ: throughput function
pi: pressure inside
ρi: density inside
pa: pressure outside
ρa: density outside
R: specific gas constant (air: 287, Helium: 2078 [J/(kg*K)])
Τa: Temperature outside


Where the throughput function Ψ is

Auschlussfunktion

Κ: Adiabatic exponent of test gas (1,4 for air, 1,66 for Helium)


With correction due to friction:

Mass flow:

Formel Massenstrom

μ: coefficient of friction


Example

Water bath leak testing at 1350mbar (19,6psi) pressure inside and 1043mbar (15,1psi) pressure outside (considering the hydraulic pressure of the water too):

leak diameter in µm            leak rate in mbar·l/s
1 1,4E-04
5 3,5E-03
10 1,4E-02
15 3,1E-02
20 5,5E-02
50 3,5E-01
100 1,4E+00


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