메뉴 건너뛰기




Volumn 369, Issue , 1998, Pages 217-252

Nonlinear evolution of a weakly unstable wave in a free shear with a weak parallel magnetic field

Author keywords

[No Author keywords available]

Indexed keywords

FLOW PATTERNS; MAGNETIC FIELD EFFECTS; PRANDTL NUMBER; REYNOLDS NUMBER;

EID: 0032140870     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0022112098001748     Document Type: Article
Times cited : (6)

References (31)
  • 1
    • 0014566419 scopus 로고
    • A new class of nonlinear waves in parallel flows
    • BENNEY, D. J. & BERGERON, R. F. 1969 A new class of nonlinear waves in parallel flows. Stud. Appl. Maths 48, 181-204.
    • (1969) Stud. Appl. Maths , vol.48 , pp. 181-204
    • Benney, D.J.1    Bergeron, R.F.2
  • 2
    • 84963253970 scopus 로고
    • The evolution of the critical layer of a Rossby wave. Part II
    • BROWN, S. N. & STEWARTSON, K. 1978 The evolution of the critical layer of a Rossby wave. Part II. Geophys. Astrophys. Fluid Dyn. 10, 1-24.
    • (1978) Geophys. Astrophys. Fluid Dyn. , vol.10 , pp. 1-24
    • Brown, S.N.1    Stewartson, K.2
  • 3
    • 0015588054 scopus 로고
    • Hydromagnetic stability of plane heterogeneous shear flow
    • CHANDRA, K. 1973 Hydromagnetic stability of plane heterogeneous shear flow. J. Phys. Soc. Japan 34, 539-542.
    • (1973) J. Phys. Soc. Japan , vol.34 , pp. 539-542
    • Chandra, K.1
  • 4
    • 0000693221 scopus 로고
    • A sufficient condition for the ideal instability of shear flow with parallel magnetic field
    • CHEN, X. L. & MORRISON P. J. 1991 A sufficient condition for the ideal instability of shear flow with parallel magnetic field. Phys. Fluids B 3, 863-865.
    • (1991) Phys. Fluids B , vol.3 , pp. 863-865
    • Chen, X.L.1    Morrison, P.J.2
  • 5
    • 84963178861 scopus 로고
    • The nonlinear development of disturbances in a zonal shear flow
    • CHURILOV, S. M. & SHUKHMAN, I. G. 1987 The nonlinear development of disturbances in a zonal shear flow. Geophys. Astrophys. Fluid Dyn. 38, 145-175.
    • (1987) Geophys. Astrophys. Fluid Dyn. , vol.38 , pp. 145-175
    • Churilov, S.M.1    Shukhman, I.G.2
  • 6
    • 0024087515 scopus 로고
    • Nonlinear stability of a stratified shear flow in the regime with an unsteady critical layer
    • CHURILOV, S. M. & SHUKHMAN, I. G. 1988 Nonlinear stability of a stratified shear flow in the regime with an unsteady critical layer. J. Fluid Mech. 194, 187-216.
    • (1988) J. Fluid Mech. , vol.194 , pp. 187-216
    • Churilov, S.M.1    Shukhman, I.G.2
  • 7
    • 0344123581 scopus 로고
    • Critical layer and nonlinear evolution of disturbances in weakly supercritical shear layer
    • Abstracts
    • CHURILOV, S. M. & SHUKHMAN, I. G. 1992 Critical layer and nonlinear evolution of disturbances in weakly supercritical shear layer. XVIIIth Intl Congress of Theor. and Appl. Mech., Haifa, Israel. Abstracts, pp. 39-40. Also: Atmos. Ocean. Phys. 1996, 31, 534-546 (translated from: Izv. RAN Fiz. Atmos. i Okeana 1995, 31 (4), 557-569).
    • (1992) XVIIIth Intl Congress of Theor. and Appl. Mech., Haifa, Israel , pp. 39-40
    • Churilov, S.M.1    Shukhman, I.G.2
  • 8
    • 0030451663 scopus 로고    scopus 로고
    • CHURILOV, S. M. & SHUKHMAN, I. G. 1992 Critical layer and nonlinear evolution of disturbances in weakly supercritical shear layer. XVIIIth Intl Congress of Theor. and Appl. Mech., Haifa, Israel. Abstracts, pp. 39-40. Also: Atmos. Ocean. Phys. 1996, 31, 534-546 (translated from: Izv. RAN Fiz. Atmos. i Okeana 1995, 31 (4), 557-569).
    • (1996) Atmos. Ocean. Phys. , vol.31 , pp. 534-546
  • 9
    • 0002903058 scopus 로고
    • translated from
    • CHURILOV, S. M. & SHUKHMAN, I. G. 1992 Critical layer and nonlinear evolution of disturbances in weakly supercritical shear layer. XVIIIth Intl Congress of Theor. and Appl. Mech., Haifa, Israel. Abstracts, pp. 39-40. Also: Atmos. Ocean. Phys. 1996, 31, 534-546 (translated from: Izv. RAN Fiz. Atmos. i Okeana 1995, 31 (4), 557-569).
    • (1995) Izv. RAN Fiz. Atmos. i Okeana , vol.31 , Issue.4 , pp. 557-569
  • 10
    • 0028671303 scopus 로고
    • Nonlinear spatial evolution of helical disturbances to an axial jet
    • CHURILOV, S. M. & SHUKHMAN, I. G. 1994 Nonlinear spatial evolution of helical disturbances to an axial jet. J. Fluid. Mech. 281, 371-402.
    • (1994) J. Fluid. Mech. , vol.281 , pp. 371-402
    • Churilov, S.M.1    Shukhman, I.G.2
  • 11
    • 0028976659 scopus 로고
    • Three-dimensional disturbances to a mixing layer in the nonlinear critical-layer regime
    • CHURILOV, S. M. & SHUKHMAN, I. G. 1995 Three-dimensional disturbances to a mixing layer in the nonlinear critical-layer regime. J. Fluid Mech. 291, 57-81.
    • (1995) J. Fluid Mech. , vol.291 , pp. 57-81
    • Churilov, S.M.1    Shukhman, I.G.2
  • 12
    • 0030184084 scopus 로고    scopus 로고
    • The nonlinear critical layer resulting from the spatial or temporal evolution of weakly unstable disturbances in shear flows
    • CHURILOV, S. M. & SHUKHMAN, I. G. 1996 The nonlinear critical layer resulting from the spatial or temporal evolution of weakly unstable disturbances in shear flows. J. Fluid Mech. 318, 189-221.
    • (1996) J. Fluid Mech. , vol.318 , pp. 189-221
    • Churilov, S.M.1    Shukhman, I.G.2
  • 13
    • 0014491819 scopus 로고
    • On the high Reynolds number flow over a wavy boundary
    • DAVIS, R. E. 1969 On the high Reynolds number flow over a wavy boundary. J. Fluid Mech. 36, 337-346.
    • (1969) J. Fluid Mech. , vol.36 , pp. 337-346
    • Davis, R.E.1
  • 14
    • 0024751465 scopus 로고
    • Nonlinear evolution of interacting oblique waves on two-dimensional shear layers
    • Also Corrigendum, J. Fluid Mech. 216, 659-663
    • GOLDSTEIN, M. E. & CHOI, S.-W. 1989 Nonlinear evolution of interacting oblique waves on two-dimensional shear layers. J. Fluid Mech. 207, 97-120. Also Corrigendum, J. Fluid Mech. 216, 659-663.
    • (1989) J. Fluid Mech. , vol.207 , pp. 97-120
    • Goldstein, M.E.1    Choi, S.-W.2
  • 15
    • 0024133038 scopus 로고
    • Nonlinear spatial evolution of an externally excited instability wave in a free shear layer
    • Also Corrigendum, J. Fluid Mech. 281, 403-404
    • GOLDSTEIN, M. E. & HULTGREN, L. S. 1988 Nonlinear spatial evolution of an externally excited instability wave in a free shear layer. J. Fluid Mech. 197, 295-330. Also Corrigendum, J. Fluid Mech. 281, 403-404.
    • (1988) J. Fluid Mech. , vol.197 , pp. 295-330
    • Goldstein, M.E.1    Hultgren, L.S.2
  • 16
    • 0024749174 scopus 로고
    • Nonlinear evolution of oblique waves on compressible shear layer
    • GOLDSTEIN, M. E. & LEIB, S. J. 1989 Nonlinear evolution of oblique waves on compressible shear layer. J. Fluid Mech., 207, 73-96.
    • (1989) J. Fluid Mech. , vol.207 , pp. 73-96
    • Goldstein, M.E.1    Leib, S.J.2
  • 17
    • 0015354987 scopus 로고
    • Critical layers in parallel flows
    • HABERMAN, R. 1972 Critical layers in parallel flows. Stud. Appl. Maths 51, 139-161.
    • (1972) Stud. Appl. Maths , vol.51 , pp. 139-161
    • Haberman, R.1
  • 18
    • 0021426825 scopus 로고
    • Time-dependent critical layers in shear flows on the beta-plane
    • HICKERNELL, F. J. 1984 Time-dependent critical layers in shear flows on the beta-plane. J. Fluid Mech. 142, 431-449.
    • (1984) J. Fluid Mech. , vol.142 , pp. 431-449
    • Hickernell, F.J.1
  • 19
    • 0542392249 scopus 로고
    • Effects of critical layer structure on the nonlinear evolution of waves in free shear layers
    • HUERRE, P. & SCOTT, J. F. 1980 Effects of critical layer structure on the nonlinear evolution of waves in free shear layers. Proc. R. Soc. Land. A 371, 509-524.
    • (1980) Proc. R. Soc. Land. A , vol.371 , pp. 509-524
    • Huerre, P.1    Scott, J.F.2
  • 20
    • 0026805514 scopus 로고
    • Nonlinear spatial equilibration of an externally excited instability wave in a free shear layer
    • HULTGREN, L. S. 1992 Nonlinear spatial equilibration of an externally excited instability wave in a free shear layer. J. Fluid Mech. 236, 635-664.
    • (1992) J. Fluid Mech. , vol.236 , pp. 635-664
    • Hultgren, L.S.1
  • 21
    • 84974084429 scopus 로고
    • Stability of laminar magnetofluid flow along parallel magnetic field
    • KENT, A. 1968 Stability of laminar magnetofluid flow along parallel magnetic field. J. Plasma Phys. 2, 543-556.
    • (1968) J. Plasma Phys. , vol.2 , pp. 543-556
    • Kent, A.1
  • 22
    • 0026119896 scopus 로고
    • Nonlinear evolution of subsonic and supersonic disturbances on a compressible mixing layer
    • LEIB, S. J. 1991 Nonlinear evolution of subsonic and supersonic disturbances on a compressible mixing layer. J. Fluid Mech. 224, 551-578.
    • (1991) J. Fluid Mech. , vol.224 , pp. 551-578
    • Leib, S.J.1
  • 23
    • 0024627664 scopus 로고
    • Nonlinear stability of a weakly supercritical mixing layer in a rotating fluid
    • SHUKHMAN, I. G. 1989 Nonlinear stability of a weakly supercritical mixing layer in a rotating fluid. J. Fluid Mech. 200, 425-450.
    • (1989) J. Fluid Mech. , vol.200 , pp. 425-450
    • Shukhman, I.G.1
  • 24
    • 0026389026 scopus 로고
    • Nonlinear evolution of spiral density waves generated by the instability of the shear layer in a rotating compressible fluid
    • SHUKHMAN, I. G. 1991 Nonlinear evolution of spiral density waves generated by the instability of the shear layer in a rotating compressible fluid. J. Fluid Mech. 233, 587-612.
    • (1991) J. Fluid Mech. , vol.233 , pp. 587-612
    • Shukhman, I.G.1
  • 25
    • 0010330249 scopus 로고    scopus 로고
    • A weakly-nonlinear theory of the spatial evolution of disturbances in a shear flow with a parallel magnetic field
    • SHUKHMAN, I. G. 1998 A weakly-nonlinear theory of the spatial evolution of disturbances in a shear flow with a parallel magnetic field. Phys. Fluids 10, 1972-1986.
    • (1998) Phys. Fluids , vol.10 , pp. 1972-1986
    • Shukhman, I.G.1
  • 26
    • 0031177745 scopus 로고    scopus 로고
    • Effect of slight stratification on the nonlinear spatial evolution of a weakly unstable wave in a free shear layer
    • referred to herein as I
    • SHUKHMAN, I. G. & CHURILOV, S. M. 1997 Effect of slight stratification on the nonlinear spatial evolution of a weakly unstable wave in a free shear layer. J. Fluid Mech. 343, 197-233 (referred to herein as I).
    • (1997) J. Fluid Mech. , vol.343 , pp. 197-233
    • Shukhman, I.G.1    Churilov, S.M.2
  • 27
    • 0027790772 scopus 로고
    • Nonlinear temporal-spatial modulation of near-planar Rayleigh waves in shear flows: Formation of streamwise vortices
    • Wu, X. 1993a Nonlinear temporal-spatial modulation of near-planar Rayleigh waves in shear flows: formation of streamwise vortices. J. Fluid Mech. 256, 685-719.
    • (1993) J. Fluid Mech. , vol.256 , pp. 685-719
    • Wu, X.1
  • 28
    • 0027790459 scopus 로고
    • On critical layer and diffusion layer nonlinearity in the three-dimensional stage of boundary-layer transition
    • Wu, X. 1993b On critical layer and diffusion layer nonlinearity in the three-dimensional stage of boundary-layer transition. Proc. R. Soc. Lond. A 443, 95-106.
    • (1993) Proc. R. Soc. Lond. A , vol.443 , pp. 95-106
    • Wu, X.1
  • 29
    • 0001022735 scopus 로고
    • On the nonlinear evolution of instability modes in unsteady shear layers: The Stokes layer as a paradigm
    • Wu, X & COWLEY, S. J. 1995 On the nonlinear evolution of instability modes in unsteady shear layers: the Stokes layer as a paradigm. Q. J. Mech. Appl. Maths 48, 159-188.
    • (1995) Q. J. Mech. Appl. Maths , vol.48 , pp. 159-188
    • Wu, X.1    Cowley, S.J.2
  • 30
    • 0027507467 scopus 로고
    • On the weakly nonlinear three-dimensional instability of shear layers to pairs of oblique waves: The Stokes layer as a paradigm
    • Wu, X., LEE, S. S. & COWLEY, S. J. 1993 On the weakly nonlinear three-dimensional instability of shear layers to pairs of oblique waves: the Stokes layer as a paradigm. J. Fluid Mech. 253, 681-721.
    • (1993) J. Fluid Mech. , vol.253 , pp. 681-721
    • Wu, X.1    Lee, S.S.2    Cowley, S.J.3
  • 31
    • 0031153882 scopus 로고    scopus 로고
    • On the nonlinear evolution of a pair of oblique Tollmein-Schlihting waves in boundary layers
    • Wu, X., LEIB, S. J. & COLDSTEIN, M. E. 1997 On the nonlinear evolution of a pair of oblique Tollmein-Schlihting waves in boundary layers. J. Fluid Mech. 340, 361-394.
    • (1997) J. Fluid Mech. , vol.340 , pp. 361-394
    • Wu, X.1    Leib, S.J.2    Coldstein, M.E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.