THE TAYLOR-COUETTE EIGENVALUE PROBLEM WITH INDEPENDENTLY ROTATING CYLINDERS

被引：32

作者：

GEBHARDT, T

GROSSMANN, S

机构：

[1] Fachbereich Physik, Philipps-Universität, Marburg, W-3550

来源：

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1993年 / 90卷 / 04期

关键词：

D O I：

10.1007/BF01308827

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

The eigenvalue problem for disturbances of the laminar Couette flow with co- or counterrotating cylinders of infinite height is considered. We solve the eigenvalue equation numerically and also give some analytical approximations for the eigenvalues and eigenmodes. Flow field patterns and spectra are offered.

引用

页码：475 / 490

页数：16

共 23 条

[1] Abramowicz M., 1972, HDB MATH FUNCTIONS
[2] [Anonymous], 1969, THEORY MATRICES
[3] BOBERG L, 1988, Z NATURFORSCH A, V43, P697
[4] TRANSITION IN CIRCULAR COUETTE FLOW
COLES, D
[J]. JOURNAL OF FLUID MECHANICS, 1965, 21 : 385 - &
[5] COMPLEX EIGENVALUES FOR THE STABILITY OF COUETTE-FLOW
DIPRIMA, RC
HALL, P
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 396 (1810) : 75 - 94
[6] DiPrima RC., 1985, HYDRODYNAMIC INSTABI
[7] Drazin P.G., 2004, HYDRODYNAMIC STABILI, DOI [10.1017/CBO9780511616938, DOI 10.1017/CBO9780511616938]
[8] BEHAVIOR OF SMALL DISTURBANCES IN PLANE COUETTE FLOW .3. PHENOMENON OF MODE-PAIRING
GALLAGHER, AP
[J]. JOURNAL OF FLUID MECHANICS, 1974, 65 (AUG12) : 29 - 32
[9] STOKES MODES IN TAYLOR-COUETTE GEOMETRY
GEBHARDT, T
GROSSMANN, S
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1991, 46 (08): : 669 - 676
[10] Some cases of instability in fluid motion
Jeffreys, H
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1928, 118 (779) : 195 - 208

← 1 2 3 →