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一种基于谱方法的三维热声不稳定模型

李磊 孙晓峰

李磊, 孙晓峰. 一种基于谱方法的三维热声不稳定模型[J]. 航空动力学报, 2011, 26(5): 1017-1024.
引用本文: 李磊, 孙晓峰. 一种基于谱方法的三维热声不稳定模型[J]. 航空动力学报, 2011, 26(5): 1017-1024.
LI Lei, SUN Xiao-feng. Three-dimensional thermoacoustic instability model based on spectral method[J]. Journal of Aerospace Power, 2011, 26(5): 1017-1024.
Citation: LI Lei, SUN Xiao-feng. Three-dimensional thermoacoustic instability model based on spectral method[J]. Journal of Aerospace Power, 2011, 26(5): 1017-1024.

一种基于谱方法的三维热声不稳定模型

基金项目: 国家自然科学基金(50890181); 航空科学基金(2009ZB51)

Three-dimensional thermoacoustic instability model based on spectral method

  • 摘要: 研究流体的流动参数,包括热源热释放的周向不均匀分布对热声不稳定现象的影响,将欧拉方程进行线化处理之后,对轴向和径向方向进行基于切比雪夫多项式的谱离散,周向方向则进行基于傅里叶多项式的谱离散,建立了一种三维热声不稳定数值模型.通过对圆柱管道共振频率以及声场的求解,进行了一系列算例的验证,证实了该方法的可靠性,并且通过热释放温度周向非均匀的算例,证实了某些周向对称分布参数下,可以使用截面平均的集总参数来代替非均匀分布参数;而在非对称的分布情况下,当周向不均匀分布很强烈的时候,这种使用截面平均参数的近似算法会带来偏差.

     

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出版历程
  • 收稿日期:  2010-12-08
  • 修回日期:  2011-03-24
  • 刊出日期:  2011-05-28

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