The Derivation and Numerical Solution of the Equations for Zero Mach Number Combustion
The Derivation and Numerical Solution of the Equations for Zero Mach Number Combustion
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DOI：
10.1080/00102208508960376
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发表时间：
1985-01-01
影响因子：
1.9
通讯作者：
Sethian, James
中科院分区：
文献类型：
--
作者：
Majda, Andrew;Sethian, James
本文提出了一个描述低马赫数受限或无界区域燃烧过程的极限方程组，并对火焰在密闭容器中传播的情况进行了数值求解。该系统允许大量的热释放，大量的温度和密度变化，以及与流体动力流场的大量相互作用，包括湍流的影响。这个极限系统比可压缩反应气体流动的完整方程组要简单得多，因为声波的详细影响已经被去掉了。结合随机涡技术和专门为湍流燃烧设计的火焰传播算法，我们描述了一种求解这些零马赫数方程的数值方法。我们用这种方法分析了粘度、放热、边界条件和压力对火焰在正方形内旋转流动中传播的燃烧速率的竞争影响。
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.