A Note on Ordering Perturbations and the Insignificance of Linear Coupling in Combustion Instabilities
A Note on Ordering Perturbations and the Insignificance of Linear Coupling in Combustion Instabilities
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关于有序扰动和线性耦合在燃烧不稳定性中的重要性的说明
DOI：
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
F. Culick
中科院分区：
文献类型：
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作者：
F. Culick
燃烧不稳定性的形式分析是以两个小参数的运动方程展开为基础的，即表征平均和波动流动的March数。该程序进行审查和扩展，在本说明中解释如何新的条款，涉及非线性平均流/声相互作用可能会被纳入。作为定序过程的另一个例子，给出了当方程仅扩展到马赫数的一阶时，为什么在平均马赫数上呈线性的模式耦合不能合理地保留的理由。
Formal analysis of combustion instabilities has been based on expansion of the equations of motion in two small parameters, March numbers characterizing the average and fluctuating flows. The procedure is reviewed and extended in this note explain how new terms involving nonlinear mean flow/acoustic interactions may be incorporated. As a further example of the ordering procedure, the reasoning is given to show why coupling of modes, linear in the average March number, cannot legitimately be retained when the equations have been expanded only to first order in Mach number.