Gas Leak Equivalent Hole Diameter

The inverse of the gas-leak-rate tile: the equivalent orifice (hole) diameter from a measured leak rate, d = sqrt( 4 Q / (3550 c pi sqrt(dP / SG)) ). A 3.15 cfh natural-gas leak at 0.25 psi with c 0.7 is about a 0.050 in hole. Turns a clocked or metered leak into a hole size. An estimate of the effective hole, not a code leak-test method; any leak is a hazard - find and repair it. Uses the gas orifice-flow form (not the water orifice tile).

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Formula and source

d = sqrt( 4 Q / (3550 x c x pi x sqrt(dP / SG)) ), the inverse of Q = 3550 x c x (pi d^2 / 4) x sqrt(dP / SG); orifice area A = Q / (3550 c sqrt(dP/SG)).

Classical orifice-flow leak approximation (compressible small leak), solved for the diameter; the 3550 coefficient and gas specific gravity from public engineering references.

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