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arXiv 0902.4326physics.flu-dynphysics.class-ph
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受限V型火焰的稳定性分析I.高速极限的解析处理

Stability analysis of confined V-flames. I. Analytical treatment of the high-velocity limit

Hazem El-Rabii, Guy Joulin, Kirill A. Kazakov

摘要:

研究了具有任意气体膨胀的受限V型火焰的线性稳定性问题。利用火焰动力学的在壳描述,得到了锚定火焰扰动传播的一般方程。这个方程的解析解的V型火焰在高速通道流。它表明,在这种情况下,火焰扰动的动态控制的记忆效应与涡产生的弯曲的前面。确定了微扰增长率谱,并给出了本征函数的显式解析表达式。结果表明,分段线性V型结构对气体膨胀系数的所有值都是不稳定的。

英文摘要:

The problem of linear stability of confined V-flames with arbitrary gas expansion is addressed. Using the on-shell description of flame dynamics, a general equation governing propagation of disturbances of an anchored flame is obtained. This equation is solved analytically for V-flames in high-velocity channel streams. It is demonstrated that dynamics of flame disturbances in this case is controlled by the memory effects associated with vorticity generated by the curved front. The perturbation growth rate spectrum is determined, and explicit analytic expressions for the eigenfunctions are given. It is found that the piecewise linear V-structure is unstable for all values of the gas expansion coefficient.

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