m · · PDF file · 2012-03-09This formula is valid for the throughput of a...
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Transcript of m · · PDF file · 2012-03-09This formula is valid for the throughput of a...
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This formula is valid for the throughput of a compressible fluid (gas) thru a leak in a pressurized vessel. It is:
Mass flow:
Volume flow:
Leak rate:
A: Leak area
: throughput functionpi: pressure inside
i: density insidepa: pressure outside a: density outsideR: specific gas constant (air: 287, Helium: 2078 [J/(kg*K)])Τa: Temperature outside
Where the throughput function Ψ is:
: Adiabatic exponent of test gas (1,4 for air, 1,66 for Helium)
With correction due to friction:
Mass flow: 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/s1 1,4E-045 3,5E-0310 1,4E-0215 3,1E-0220 5,5E-0250 3,5E-01100 1,4E+00
Leak rate calculation
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