Acoustic excitation of vortex instabilities

被引:2
作者
Leblanc, S [1 ]
机构
[1] LEGI, F-38041 Grenoble, France
关键词
D O I
10.1063/1.1406935
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The asymptotic solution of Ford and Llewellyn Smith [J. Fluid Mech. 386, 305 (1999)] which describes the dynamics of a Kelvin vortex disturbed by a single large wavelength acoustic excitation, is shown to be unstable to three-dimensional short-wave nonlinear perturbations. This result might have interesting physical applications such as the destabilization of vortices in geophysics or engineering. (C) 2001 American Institute of Physics.
引用
收藏
页码:3496 / 3499
页数:4
相关论文
共 18 条
[1]  
[Anonymous], COMPRESSIBLE FLUID F
[2]  
Broadbent E. G., 1979, Philosophical Transactions of the Royal Society of London A (Mathematical and Physical Sciences), V290, P353, DOI 10.1098/rsta.1979.0003
[3]   STABILITY OF A COMPRESSIBLE TWO-DIMENSIONAL VORTEX UNDER A 3-DIMENSIONAL PERTURBATION [J].
BROADBENT, EG .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1984, 392 (1803) :279-299
[4]   INSTABILITIES OF 2-DIMENSIONAL INVISCID COMPRESSIBLE VORTICES [J].
CHAN, WM ;
SHARIFF, K ;
PULLIAM, TH .
JOURNAL OF FLUID MECHANICS, 1993, 253 :173-209
[5]  
CHOQUETBRUHAT Y, 1969, J MATH PURE APPL, V48, P117
[6]  
CROW SC, 1970, STUD APPL MATH, V49, P21
[7]   ON THE STABILITY OF ROTATING COMPRESSIBLE AND INVISCID FLUIDS [J].
ECKHOFF, KS ;
STORESLETTEN, L .
JOURNAL OF FLUID MECHANICS, 1980, 99 (JUL) :433-448
[8]   NOTE ON THE STABILITY OF STEADY INVISCID HELICAL GAS-FLOWS [J].
ECKHOFF, KS ;
STORESLETTEN, L .
JOURNAL OF FLUID MECHANICS, 1978, 89 (DEC) :401-411
[9]   Scattering of acoustic waves by a vortex [J].
Ford, R ;
Smith, SGL .
JOURNAL OF FLUID MECHANICS, 1999, 386 :305-328
[10]   WEAKLY NON-LINEAR HIGH-FREQUENCY WAVES [J].
HUNTER, JK ;
KELLER, JB .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (05) :547-569