Stability of compressible Taylor-Couette flow. Asymptotical analysis

被引:0
|
作者
Lipatov, I. I. [1 ]
机构
[1] Cent Aerohydrodynam Inst TsAGI, Zhukovskii 140180, Moscow Region, Russia
关键词
D O I
10.1088/1742-6596/14/1/014
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A temporal stability analysis of compressible Taylor-Couette flow is analyzed. The studied flow is contained between two concentric cylinders of infinite length, which are rotating with different angular velocities and are kept at different surface temperatures. It is shown that for large Reynolds numbers regimes of flow instability exist for which the influence of viscosity is negligible for the first approximation. Corresponding linear equations describing temporal development of vortices are deduced. For linear problems numerical results are presented.
引用
收藏
页码:113 / 117
页数:5
相关论文
共 50 条
  • [1] LINEAR-STABILITY OF COMPRESSIBLE TAYLOR-COUETTE FLOW
    KAO, KH
    CHOW, CY
    PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1992, 4 (05): : 984 - 996
  • [2] SYMMETRY AND STABILITY IN TAYLOR-COUETTE FLOW
    GOLUBITSKY, M
    STEWART, I
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (02) : 249 - 288
  • [3] Stability and bifurcations in stratified Taylor-Couette flow
    Caton, F
    Janiaud, B
    Hopfinger, EJ
    JOURNAL OF FLUID MECHANICS, 2000, 419 : 93 - 124
  • [4] A NON-LINEAR ANALYSIS ON STABILITY OF THE TAYLOR-COUETTE FLOW
    GOTOH, T
    KUWABARA, S
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1982, 51 (05) : 1647 - 1654
  • [5] TAYLOR-COUETTE FLOW STABILITY OF DIABETIC BLOOD
    MCMILLAN, DE
    STRIGBERGER, J
    UTTERBACK, NG
    ROMANOFF, N
    CLINICAL HEMORHEOLOGY, 1989, 9 (06): : 989 - 998
  • [6] On the global stability of solutions to the compressible Navier-Stokes equation around the Taylor-Couette flow
    Wang, Dinghuai
    NONLINEARITY, 2023, 36 (01) : 1 - 20
  • [7] Stability of Taylor-Couette flow with oscillatory radial throughflow
    Wang, Cheng-Cheng
    Gao, Peng
    Lu, Xi-Yun
    JOURNAL OF FLUID MECHANICS, 2024, 1001
  • [8] The effect of viscous heating on the stability of Taylor-Couette flow
    Al-Mubaiyedh, UA
    Sureshkumar, R
    Khomami, B
    JOURNAL OF FLUID MECHANICS, 2002, 462 : 111 - 132
  • [9] STABILITY AND NOISE IN TAYLOR-COUETTE FLOW WITH THROUGH-FLOW
    BABCOCK, KL
    CANNELL, DS
    AHLERS, G
    PHYSICA D, 1992, 61 (1-4): : 40 - 46
  • [10] Influence of energetics on the stability of viscoelastic Taylor-Couette flow
    Al-Mubaiyedh, UA
    Sureshkumar, R
    Khomami, B
    PHYSICS OF FLUIDS, 1999, 11 (11) : 3217 - 3226