Analytical scalings for flame interaction with sound waves
Analytical scalings for flame interaction with sound waves
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DOI：
10.1063/1.870173
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发表时间：
1999-09
影响因子：
4.6
通讯作者：
V. Bychkov
中科院分区：
文献类型：
--
作者：
V. Bychkov
本文从扰动火焰前缘的线性方程出发，得到了火焰与强度可控的声波相互作用问题的解析解。被认为是由足够大的振幅的声波在火焰前的参数不稳定性的激励和小振幅的声波的流体动力学火焰不稳定性的稳定。分析得到的稳定性极限与以前的数值计算吻合得很好。此外，对于引起参数不稳定性所需的最小声波振幅和不稳定性的典型波长的分析结果与丙烷火焰的实验结果吻合得很好。
Analytical scalings for the problem of flame interaction with acoustic waves of controlled intensity are obtained on the basis of the linear equation for a perturbed flame front. Both stabilization of the hydrodynamic flame instability by sound waves of small amplitudes and excitation of the parametric instability at the flame front by sound waves of sufficiently large amplitudes are considered. The stability limits obtained analytically agree well with the previous numerical calculations. Besides, the analytical results for the minimum amplitude of sound waves needed to induce the parametric instability and for the typical wavelength of the instability are in excellent agreement with the experimental results on propane flames.