Well-posedness of the nonlinear equations for zero mach number combustion
Well-posedness of the nonlinear equations for zero mach number combustion
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DOI：
10.1080/03605308708820526
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发表时间：
1987
影响因子：
1.9
通讯作者：
P. Embid
中科院分区：
文献类型：
--
作者：
P. Embid
0. 本文研究了五马赫数燃烧非线性方程初值问题的适定性。已经提出了不同的公式（91,(161)）来模拟低马赫数下的燃烧，但我们使用Majda在（91）中给出的公式。这些方程允许大量的热量释放，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，与早期的恒定密度模型（1121,201）相反，其中流体动力学基本上与燃烧过程解耦。然而，这些方程比完整的可压缩燃烧方程系统要简单得多，因为声波的详细影响已经从方程中去掉了。Majda的公式是在流动马赫数小、初始压力接近恒定、流体化学平衡近似的条件下，由可压缩燃烧方程导出的
0. Introduction la this paper we study the well-posedness of the initial value problem for the nonlinear equations for sero Mach number combustion. Different formulations ((91,(161) for modelling combustion at low Mach number have been proposed, but we work with the formulation given by Majda in (91. These equations allow for large heat release, substantial temperature and density variations, and substantial interaction with the hydrodynamic flow field, in contrast with the earlier constant density modeb 1121,(201, where the fluid dynamics essentially decouples from the combustion procees. However, theae equations become considerably simpler than the complete system of compressible combustion equations because the detailed effects of acoustic waves have been removed from the equations. Majda's formulation is derived from the compressible combustion equations under the asmmptions of mall Mach number for the flow, the nearly constant initial pressure and the approximate chemical-fluid balance for the