ON THE ROLE OF LINEAR MECHANISMS IN TRANSITION TO TURBULENCE

被引:89
作者
HENNINGSON, DS
REDDY, SC
机构
[1] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012
[2] ROYAL INST TECHNOL,DEPT MECH,S-10044 STOCKHOLM,SWEDEN
关键词
D O I
10.1063/1.868251
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Recent work has shown that linear mechanisms can lead to substantial transient growth in the energy of small disturbances in incompressible hows even when the Reynolds number is below the critical value predicted by linear stability (eigenvalue) analysis. In this note it is shown that linear growth mechanisms are necessary for transition in hows governed by the incompressible Navier-Stokes equations and that non-normality of the linearized Navier-Stokes operator is a necessary condition for subcritical transition.
引用
收藏
页码:1396 / 1398
页数:3
相关论文
共 32 条
  • [1] [Anonymous], 1966, PERTURBATION THEORY
  • [2] BERGSTROM L, 1992, STUD APPL MATH, V87, P61
  • [3] 3-DIMENSIONAL OPTIMAL PERTURBATIONS IN VISCOUS SHEAR-FLOW
    BUTLER, KM
    FARRELL, BF
    [J]. PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1992, 4 (08): : 1637 - 1650
  • [4] A FLOW-VISUALIZATION STUDY OF TRANSITION IN PLANE POISEUILLE FLOW
    CARLSON, DR
    WIDNALL, SE
    PEETERS, MF
    [J]. JOURNAL OF FLUID MECHANICS, 1982, 121 (AUG) : 487 - 505
  • [5] Chorin A.J., 1990, MATH INTRO FLUID MEC
  • [6] CRAIK A. D. D., 1985, WAVE INTERACTIONS FL
  • [7] Drazin P.G., 2004, HYDRODYNAMIC STABILI, DOI [10.1017/CBO9780511616938, DOI 10.1017/CBO9780511616938]
  • [8] STABILITY OF LINEAR FLOW
    ELLINGSEN, T
    PALM, E
    [J]. PHYSICS OF FLUIDS, 1975, 18 (04) : 487 - 488
  • [9] OPTIMAL EXCITATION OF 3-DIMENSIONAL PERTURBATIONS IN VISCOUS CONSTANT SHEAR-FLOW
    FARRELL, BF
    IOANNOU, PJ
    [J]. PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (06): : 1390 - 1400
  • [10] A NEW APPROACH TO ENERGY THEORY IN THE STABILITY OF FLUID MOTION
    GALDI, GP
    PADULA, M
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1990, 110 (03) : 187 - 286