Leakage rate between two pipes & gasses

[Giuliano69]

Hi, I'm facing the problem to model a methane leakage in a methane piping.
I read the 3d on a vessel leakage
https://www.physicsforums.com/showthread.php?t=92511
but the starting condition and model seems different

A marine methane piping, usually present an inner and outer pipe.
In the inner pipe, methane flows at known pressure and flow. The pressure is assumed constant (kept constant by the ship automation)

In the outer pipe, air flows, at known pressure and flow (contercurrent and underpressure)

I need to estimate the methane leakage that a hole in the inner pipe can produce.

Can be solved with a Bernoulli model, or it needs a CFD ?


Does the 3d linked above apply to our model ?
It seems that in the present situation pressure is constant, instead the model linked consider a pressure decrease in the vessel...

 

[Giuliano69]

the problem could be represented as two gas moving in opposite direction, with constant pressure and flow,
separated by a diaphragm with an hole

p1, v1, f1 --->
--------------------- -------------------
<--- p2, v2, f2


could a simple Bernoulli theorem give an estimation of the leakage ?