Weakly Non-Linear Analysis on identification of Vortex, Sound & Heat and Their Interactions in Shear Flow

Ju Hongbin; Zhong Fangyuan

Volume 17 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(3): 205-211

Ju Hongbin, Zhong Fangyuan. Weakly Non-Linear Analysis on identification of Vortex, Sound & Heat and Their Interactions in Shear Flow[J]. Applied Mathematics and Mechanics, 1996, 17(3): 205-211.

Citation:

Ju Hongbin, Zhong Fangyuan. Weakly Non-Linear Analysis on identification of Vortex, Sound & Heat and Their Interactions in Shear Flow[J]. Applied Mathematics and Mechanics, 1996, 17(3): 205-211.

Citation:

Ju Hongbin, Zhong Fangyuan. Weakly Non-Linear Analysis on identification of Vortex, Sound & Heat and Their Interactions in Shear Flow[J]. Applied Mathematics and Mechanics, 1996, 17(3): 205-211.

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Weakly Non-Linear Analysis on identification of Vortex, Sound & Heat and Their Interactions in Shear Flow

Ju Hongbin¹,
Zhong Fangyuan²

1.
Tsinghua University, Beijing 100083, P. R. China;
2.
Shanghai Jiaotong University, Shanghai 200030, P. R. China

Received Date: 1995-05-30
Publish Date: 1996-03-15

Abstract

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.
- aerodynamics,
- aeroacoustics,
- shear flow,
- non-linear interaction,
- unsteady flow

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References(6)

References

[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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