The Derivation and Numerical Solution of the Equations for Zero Mach Number Combustion
作者:
ANDFREW MAJDA,
JAMES SETHIAN,
期刊:
Combustion Science and Technology
(Taylor Available online 1985)
卷期:
Volume 42,
issue 3-4
页码: 185-205
ISSN:0010-2202
年代: 1985
DOI:10.1080/00102208508960376
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
We present a limiting system of equations to describe combustion processes at low Mach number in either confined or unbounded regions and numerically solve these equations for the case of a flame propagating in a closed vessel. This system allows for large heat release, substantial temperature and density variations, and substantial interaction with the hydrodynamic flow field, including the effects of turbulence. This limiting system is much simpler than the complete system of equations of compressible reacting gas flow since the detailed effects of acoustic waves have been removed. Using a combination of random vortex techniques and flame propagation algorithms specially designed for turbulent combustion, we describe a numerical method to solve these zero Mach number equations. We use this method to analyze the competing effects of viscosity, exothermicity, boundary conditions and pressure on the rate of combustion for a flame propagating in a swirling flow inside a square.
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