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MODELLING OF RELEASE OF GAS FROM HIGH‐PRESSURE PIPELINES
Author(s) -
SAND IVAR ØYVIND,
SJØEN KARL,
BAKKE JAN ROAR
Publication year - 1996
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19961115)23:9<953::aid-fld466>3.0.co;2-y
Subject(s) - mechanics , turbulence , air entrainment , flow (mathematics) , nozzle , dispersion (optics) , open channel flow , two phase flow , wet gas , mass flow , thermodynamics , physics , optics
The problem investigated is the break of a high‐pressure pipeline carrying natural single‐phase gas which may condensate (retrograde) when the pressure drops. Single‐phase non‐ideal gas is assumed using a general‐ ized equation of state. Taking advantage of the choked massflow condition, the break is split into a pipe flow problem and a dispersion flow problem, both solved using a finite difference control volume scheme. The transient flow field from the pipeline break location is expanded analytically, using an approximation of the governing equations, until ambient pressure is reached and matched to the corresponding gas dispersion flow field using as subgrid model a jet box with a time‐varying equivalent nozzle area as an internal boundary of the dispersion domain. The turbulence models used for the pipe and dispersion flow fields are an empirical model of Reichard and the k –ϵ model for buoyant flow respectively. The pipe flow simulations indicate that the flow from the pipeline might include dispersed condensate which will affect quantitatively the mass flow rate from the pipeline and qualitatively the gas dispersion if the condensate rains out. The transient dispersion simulation shows that an entrainment flow field develops and mixes supersaturated gas with ambient warmer air to an unsaturated mixture. Because of the inertia of the ambient air, it takes time to develop the entrainment flow field. As a consequence of this and the decay of the mass flow with time, the lower flammability limit of the gas–air mixture reaches its most remote downstream position relatively early in the simulation (about 15 s) and withdraws closer to the break location.