CENTRIFUGAL INSTABILITY OF A STOKES LAYER - ASYMMETRIC DISTURBANCES

被引:5
作者
SEMINARA, G
机构
[1] Facoltà di Ingegneria, Università di Genova
来源
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1979年 / 30卷 / 04期
关键词
D O I
10.1007/BF01590839
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The influence of the asymmetry of the perturbations on the instability of viscous incompressible flow originated by a circular cylinder performing harmonic oscillations around its axis is investigated in the linear regime. The critical values of the Taylor number (based on the amplitude of the cylinder tangential velocity and on the thickness of the basic flow) and of the axial wavenumber are found to increase monotonically as the asymmetry parameter (azimuthal wavenumber) increases. This result agrees with previous experimental observations of the author. © 1979 Birkhäuser Verlag.
引用
收藏
页码:615 / 625
页数:11
相关论文
共 8 条
[1]   TEMPORAL EIGENVALUE SPECTRUM OF ORR-SOMMERFELD EQUATION FOR BLASIUS BOUNDARY-LAYER [J].
ANTAR, BN ;
BENEK, JA .
PHYSICS OF FLUIDS, 1978, 21 (02) :183-189
[2]   ON INSTABILITY OF TAYLOR VORTICES [J].
DAVEY, A ;
DIPRIMA, RC ;
STUART, JT .
JOURNAL OF FLUID MECHANICS, 1968, 31 :17-&
[3]   LINEAR-STABILITY OF FLAT STOKES LAYERS [J].
HALL, P .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 359 (1697) :151-166
[4]   ON RELATIVE IMPORTANCE OF TAYLOR-VORTEX AND NON-AXISYMMETRIC MODES IN FLOW BETWEEN ROTATING CYLINDERS [J].
KRUEGER, ER ;
GROSS, A ;
DIPRIMA, RC .
JOURNAL OF FLUID MECHANICS, 1966, 24 :521-&
[5]   NUMERICAL STUDY OF TEMPORAL EIGENVALUE SPECTRUM OF BLASIUS BOUNDARY-LAYER [J].
MACK, LM .
JOURNAL OF FLUID MECHANICS, 1976, 73 (FEB10) :497-520
[6]  
RILEY D, 1977, J FLUID MECH, V75, P625
[7]   CENTRIFUGAL INSTABILITY OF A STOKES LAYER - LINEAR-THEORY [J].
SEMINARA, G ;
HALL, P .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1976, 350 (1662) :299-&
[8]  
SEMINARA G, 1977, P ROY SOC LOND A, V354, P219