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Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (8): 975-984 .doi: https://doi.org/10.1007/s10483-008-0801-y

• Articles •    下一篇

含周期脉动的大密度比气液同轴射流的Floquet稳定性分析

李振;胡国辉;周哲玮   

  1. 上海大学,上海市应用数学和力学研究所;
    上海市能源与环境中的关键力学问题重点实验室,上海 200072
  • 收稿日期:2008-07-07 修回日期:1900-01-01 出版日期:2008-08-18 发布日期:2008-08-18

Floquet instability of a large density ratio liquid-gas coaxial jet with periodic fluctuation

LI Zhen;HU Guo-hui;ZHOU Zhe-wei   

  1. Shanghai Institute of Applied Mathematics and Mechanics
    Shanghai Key Laboratory of Mechanics in Energy and Environment Engineering, Shanghai University, Shanghai 200072, P. R.China
  • Received:2008-07-07 Revised:1900-01-01 Online:2008-08-18 Published:2008-08-18

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摘要： 基于周期脉动速度激励下气液同轴射流的数学模型,运用线性稳定性理论,采用Chebyshev配点法和Floquet理论,将含周期脉动分层流的Floquet稳定性分析扩展到大密度比的情况.研究了液铝-氮气射流的参数共振特性,分析了不同的物理参数对系统稳定性的影响,计算了实验工况并和实验结果进行了比较.

关键词: Floquet理论, 射流稳定性, Chebyshev配点法, 大密度比, 参数共振

Abstract: By numerical simulation of basic flow, this paper extends Floquet stability analysis of interfacial flow with periodic fluctuation into large density ratio range. Stability of a liquid aluminum jet in a coaxial nitrogen stream with velocity fluctuation is investigated by Chebyshev collocation method and the Floquet theory. Parametric resonance of the jet and the influences of different physical parameters on the instability are discussed. The results show qualitative agreement with the available experimental data.

Key words: jet stability, Chebyshev collocation, Floquet theory, parametric resonance, large density ratio

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