剪切流动中涡、声、热模式划分及相互作用的弱非线性分析*
Weakly Non-Linear Analysis on identification of Vortex, Sound & Heat and Their Interactions in Shear Flow
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摘要: 本文用摄动法详细研究了非均匀流动中涡、声、热运动模式的划分及其相互作用问题.特别讨论了剪切流情形,得到的各阶摄动方程和声、涡运动方程具有清晰的物理含义.在此基础上着重探讨了声、涡一阶作用以及二阶涡的生成,由此解释了声学控制流动中的部分实验现象.Abstract: The identification of vortex,vortex,sound and heat motions and the interactions among them are discussed by means of velocity vector split and perturbation method in this paper.Especially the shear.flow is considered.All the obtained weakly non-linear equarions have clear physics concept.Basing on the analysis.the interaction between first order sound and vortex.and the creation of the secnd order vortex are studied and some.experiment phenomena of airfoil.flow control by sound are explained.
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Key words:
- aerodynamics /
- aeroacoustics /
- shear flow /
- non-linear interaction /
- unsteady flow
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[1] L.Rayleigh.Theory of Sound,Dover Publications,Second Edition,New York(1945). [2] B.T.Chu and L.S.G.Kovasznay,Non-linear interactions in a viscous heat-conducting compressible gas,J.Fluid Mech.,3,5(1980. [3] P.E.Doak,Analysis of internally generated sound in continuous materials:3 the momentum potential field description of fluctuation of fluid motion as a basis for unified theory of internally generated sound,J.Sound & Vib.,26,1(1973),91-120. [4] J.E.Ffowcs Williams and A.J.Kempton,The noise from the large-scale structure of a jet,J.Fluid Mech.,84,4(1978). [5] K.B.M.Q.Zaman,Effect of acoustic excitation on stalled flow over an airfoil,J.AIAA,30,6(1992). [6] 董国平,尾迹干扰下声学控制机翼流动的研究,博士学位论文,上海交通大学(1991). -
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