메뉴 건너뛰기




Volumn 310, Issue , 1996, Pages 293-324

Symmetry-breaking bifurcations in spherical Couette flow

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); FINITE DIFFERENCE METHOD; LINEARIZATION; NAVIER STOKES EQUATIONS; NONLINEAR EQUATIONS;

EID: 0030088189     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096001814     Document Type: Article
Times cited : (31)

References (46)
  • 1
    • 0022677808 scopus 로고
    • Flow regimes in a circular Couette system with independently rotating cylinders
    • ANDERECK, C. D., LIU, S. S. & SWINNEY, H. L. 1986 Flow regimes in a circular Couette system with independently rotating cylinders. J. Fluid Mech. 164, 155-183.
    • (1986) J. Fluid Mech. , vol.164 , pp. 155-183
    • Andereck, C.D.1    Liu, S.S.2    Swinney, H.L.3
  • 2
    • 0021803329 scopus 로고
    • Numerical simulation of spherical Couette flow asymmetric with respect to the equator
    • ASTAF'EVA, N. M. 1985a Numerical simulation of spherical Couette flow asymmetric with respect to the equator. Fluid Dyn. 20, N3, 383-387. (Transl. from Izv. AN SSSR, Mekh. Zhid. i Gaza 1985, N3, 56-62.)
    • (1985) Fluid Dyn. , vol.20 , Issue.N3 , pp. 383-387
    • Astaf'eva, N.M.1
  • 3
    • 0021803329 scopus 로고
    • Transl.
    • ASTAF'EVA, N. M. 1985a Numerical simulation of spherical Couette flow asymmetric with respect to the equator. Fluid Dyn. 20, N3, 383-387. (Transl. from Izv. AN SSSR, Mekh. Zhid. i Gaza 1985, N3, 56-62.)
    • (1985) Izv. AN SSSR, Mekh. Zhid. I Gaza , Issue.N3 , pp. 56-62
  • 5
    • 2842538757 scopus 로고
    • Numerical study of nonlinear axisymmetric flow of fluid between two concentric rotating spheres
    • ed. H. Cabannes, M. Holt & V. Rusanov. Lecture Notes in Physics, Springer
    • ASTAF'EVA, N. M., VVEDENSKAYA, N. D. & YAVORSKAYA, I. M. 1978 Numerical study of nonlinear axisymmetric flow of fluid between two concentric rotating spheres. In Sixth Intl Conf. on Numerical Methods in Fluid Dynamics (ed. H. Cabannes, M. Holt & V. Rusanov). Lecture Notes in Physics, vol. 90, pp. 56-63. Springer.
    • (1978) Sixth Intl Conf. on Numerical Methods in Fluid Dynamics , vol.90 , pp. 56-63
    • Astaf'eva, N.M.1    Vvedenskaya, N.D.2    Yavorskaya, I.M.3
  • 6
    • 0001673278 scopus 로고
    • Taylor vortex flow between eccentric coaxial rotating spheres
    • BAR-YOSEPH, P., SOLAN, A., HILEN, R. & ROESNER, K. G. 1990 Taylor vortex flow between eccentric coaxial rotating spheres. Phys. Fluids A 2, 1564-1573.
    • (1990) Phys. Fluids A , vol.2 , pp. 1564-1573
    • Bar-Yoseph, P.1    Solan, A.2    Hilen, R.3    Roesner, K.G.4
  • 7
    • 0020138529 scopus 로고
    • Taylor vortices between two concentric rotating spheres
    • BARTELS, F. 1982 Taylor vortices between two concentric rotating spheres. J. Fluid Mech. 119, 1-25.
    • (1982) J. Fluid Mech. , vol.119 , pp. 1-25
    • Bartels, F.1
  • 9
    • 2742553888 scopus 로고
    • Stability of spherical Couette flow in thick layers when the inner sphere revolves
    • BELYAEV, Yu. N., MONAKHOV, A. A. & YAVORSKAYA, I. M. 1978 Stability of spherical Couette flow in thick layers when the inner sphere revolves. Fluid Dyn. 13, N2, 162-168. (Transl. from Izv. AN SSSR, Mekh. Zhid. i Gaza 1978, N2, 9-15.)
    • (1978) Fluid Dyn. , vol.13 , Issue.N2 , pp. 162-168
    • Belyaev, Yu.N.1    Monakhov, A.A.2    Yavorskaya, I.M.3
  • 10
    • 2742553888 scopus 로고
    • Transl.
    • BELYAEV, Yu. N., MONAKHOV, A. A. & YAVORSKAYA, I. M. 1978 Stability of spherical Couette flow in thick layers when the inner sphere revolves. Fluid Dyn. 13, N2, 162-168. (Transl. from Izv. AN SSSR, Mekh. Zhid. i Gaza 1978, N2, 9-15.)
    • (1978) Izv. AN SSSR, Mekh. Zhid. I Gaza , Issue.N2 , pp. 9-15
  • 11
    • 0017108899 scopus 로고
    • Ecoulement entre deux sphères concentriques en rotation
    • BONNET, J.-P. & ALZIARY DE ROQUEFORT, T. 1976 Ecoulement entre deux sphères concentriques en rotation. J. Méc. 15, 373-397.
    • (1976) J. Méc. , vol.15 , pp. 373-397
    • Bonnet, J.-P.1    Alziary De Roquefort, T.2
  • 12
    • 0025225802 scopus 로고
    • Symmetric and asymmetric Taylor vortex flow in spherical gaps
    • BÜHLER, K. 1990 Symmetric and asymmetric Taylor vortex flow in spherical gaps. Acta Mechanica 81, 3-38.
    • (1990) Acta Mechanica , vol.81 , pp. 3-38
    • Bühler, K.1
  • 13
    • 0022222979 scopus 로고
    • New secondary flow instabilities for high Re-number flow between two rotating spheres
    • ed. V. V. Kozlov, Springer
    • BÜHLER, K. & ZIEREP, J. 1984 New secondary flow instabilities for high Re-number flow between two rotating spheres. In Laminar-Turbulent Transition (ed. V. V. Kozlov), pp. 677-685. Springer.
    • (1984) Laminar-Turbulent Transition , pp. 677-685
    • Bühler, K.1    Zierep, J.2
  • 15
    • 65249111968 scopus 로고
    • Transition in circular Couette flow
    • COLES, D. 1965 Transition in circular Couette flow. J. Fluid Mech. 21, 385-425.
    • (1965) J. Fluid Mech. , vol.21 , pp. 385-425
    • Coles, D.1
  • 16
    • 2842584330 scopus 로고
    • The spherical Couette flow and its large-gap stability by spectral simulation
    • CFD Society of Canada, Toronto
    • DUMAS, G. 1994 The spherical Couette flow and its large-gap stability by spectral simulation. In CFD94, CFD Society of Canada, Toronto.
    • (1994) CFD94
    • Dumas, G.1
  • 17
    • 0001043241 scopus 로고
    • A divergence-free expansions spectral method for three-dimensional flows in spherical-gap geometries
    • DUMAS, G. & LEONARD, A. 1994 A divergence-free expansions spectral method for three-dimensional flows in spherical-gap geometries. J. Comput. Phys. 111, 205-219.
    • (1994) J. Comput. Phys. , vol.111 , pp. 205-219
    • Dumas, G.1    Leonard, A.2
  • 20
    • 34250474657 scopus 로고
    • Stability of fluid motion between a rotating and a stationary concentric sphere
    • KHLEBUTIN, G. N. 1968 Stability of fluid motion between a rotating and a stationary concentric sphere. Fluid Dyn. 3, N6, 31-32. (Transl. from Izv. AN SSSR. Mekh. Zhid. i Gaza 1968, N6, 53-56.)
    • (1968) Fluid Dyn. , vol.3 , Issue.N6 , pp. 31-32
    • Khlebutin, G.N.1
  • 21
    • 34250474657 scopus 로고
    • Transl.
    • KHLEBUTIN, G. N. 1968 Stability of fluid motion between a rotating and a stationary concentric sphere. Fluid Dyn. 3, N6, 31-32. (Transl. from Izv. AN SSSR. Mekh. Zhid. i Gaza 1968, N6, 53-56.)
    • (1968) Izv. AN SSSR. Mekh. Zhid. I Gaza , Issue.N6 , pp. 53-56
  • 23
    • 0000477134 scopus 로고
    • On the relative importance of Taylor-vortex and non-axisymmetric modes in flow between rotating cylinders
    • KRUEGER, E. R., GROSS, A. & DIPRIMA, R. C. 1966 On the relative importance of Taylor-vortex and non-axisymmetric modes in flow between rotating cylinders. J. Fluid Mech. 24, 521-538.
    • (1966) J. Fluid Mech. , vol.24 , pp. 521-538
    • Krueger, E.R.1    Gross, A.2    Diprima, R.C.3
  • 24
    • 0001459172 scopus 로고
    • Primary instabilities and bifurcality in flow between counter-rotating cylinders
    • LANGFORD, W. F., TAGG, R., KOSTELICH, E. J., SWINNEY, H. L. & GOLUBITSKY, M. 1988 Primary instabilities and bifurcality in flow between counter-rotating cylinders. Phys. Fluids 31, 776-785.
    • (1988) Phys. Fluids , vol.31 , pp. 776-785
    • Langford, W.F.1    Tagg, R.2    Kostelich, E.J.3    Swinney, H.L.4    Golubitsky, M.5
  • 25
    • 0029151986 scopus 로고
    • Asymmetry and Hopf bifurcation in spherical Couette flow
    • MAMUN, C. K. & TUCKERMAN, L. S. 1995 Asymmetry and Hopf bifurcation in spherical Couette flow. Phys. Fluids 7, 80-91.
    • (1995) Phys. Fluids , vol.7 , pp. 80-91
    • Mamun, C.K.1    Tuckerman, L.S.2
  • 26
    • 0023577071 scopus 로고
    • Simulation of flow between concentric rotating spheres
    • MARCUS, P. S. & TUCKERMAN, L. S. 1987 Simulation of flow between concentric rotating spheres. J. Fluid Mech. 185, 1-65.
    • (1987) J. Fluid Mech. , vol.185 , pp. 1-65
    • Marcus, P.S.1    Tuckerman, L.S.2
  • 27
    • 0001717556 scopus 로고
    • Viscous incompressible flow between concentric rotating spheres. Part 1. Basic flow
    • MUNSON, B. R. & JOSEPH, D. D. 1971 Viscous incompressible flow between concentric rotating spheres. Part 1. Basic flow. J. Fluid Mech. 49, 289-303.
    • (1971) J. Fluid Mech. , vol.49 , pp. 289-303
    • Munson, B.R.1    Joseph, D.D.2
  • 28
    • 0020786915 scopus 로고
    • Transition of Taylor-Görtler vortex flow in spherical Couette flow
    • NAKABAYASHI, K. 1983 Transition of Taylor-Görtler vortex flow in spherical Couette flow. J. Fluid Mech. 132, 209-230.
    • (1983) J. Fluid Mech. , vol.132 , pp. 209-230
    • Nakabayashi, K.1
  • 29
    • 0023703168 scopus 로고
    • Spectral study of the laminar-turbulent transition in spherical Couette flow
    • NAKABAYASHI, K. & TSUCHIDA, Yo. 1988a Spectral study of the laminar-turbulent transition in spherical Couette flow. J. Fluid Mech. 194, 101-132.
    • (1988) J. Fluid Mech. , vol.194 , pp. 101-132
    • Nakabayashi, K.1    Tsuchida, Yo.2
  • 30
    • 84972194547 scopus 로고
    • Modulated and unmodulated travelling azimuthal waves on the toroidal vortices in a spherical Couette system
    • NAKABAYASHI, K. & TSUCHIDA, Yo. 1988b Modulated and unmodulated travelling azimuthal waves on the toroidal vortices in a spherical Couette system. J. Fluid Mech. 195, 495-522.
    • (1988) J. Fluid Mech. , vol.195 , pp. 495-522
    • Nakabayashi, K.1    Tsuchida, Yo.2
  • 31
    • 0002529738 scopus 로고
    • Fourier series on spheres
    • ORSZAG, S. A. 1974 Fourier series on spheres. Mon. Weather Rev. 102, 56-75.
    • (1974) Mon. Weather Rev. , vol.102 , pp. 56-75
    • Orszag, S.A.1
  • 32
    • 2842562171 scopus 로고
    • On the motion of a viscous liquid between two rotating spheres
    • OVSEENKO, YU. G. 1963 On the motion of a viscous liquid between two rotating spheres (in Russian). Izv. Vyssh. Ucheb. Zaved. Mat. N4, 129-139.
    • (1963) Izv. Vyssh. Ucheb. Zaved. Mat. N4 , pp. 129-139
    • Ovseenko, Yu.G.1
  • 33
    • 0015740819 scopus 로고
    • Bifurcations in the presence of a symmetry group
    • RUELLE, D. 1973 Bifurcations in the presence of a symmetry group. Arch. Rat. Mech. Anal. 51, 136-152.
    • (1973) Arch. Rat. Mech. Anal. , vol.51 , pp. 136-152
    • Ruelle, D.1
  • 34
    • 0022721941 scopus 로고
    • The first instability in spherical Taylor-Couette flow
    • SCHRAUF, G. 1986 The first instability in spherical Taylor-Couette flow. J. Fluid Mech. 166, 287-303.
    • (1986) J. Fluid Mech. , vol.166 , pp. 287-303
    • Schrauf, G.1
  • 35
    • 0016890137 scopus 로고
    • Experiments on a viscious fluid flow between concentric rotating spheres
    • WIMMER, M. 1976 Experiments on a viscious fluid flow between concentric rotating spheres. J. Fluid Mech. 78, 317-335.
    • (1976) J. Fluid Mech. , vol.78 , pp. 317-335
    • Wimmer, M.1
  • 36
    • 2842579975 scopus 로고
    • Experimentelle Untersuchung der Strömung zwischen konzentrischen, rotierenden Kugeln
    • WIMMER, M. 1977 Experimentelle Untersuchung der Strömung zwischen konzentrischen, rotierenden Kugeln. Z. Angew. Math. Mech. 57, 218-219.
    • (1977) Z. Angew. Math. Mech. , vol.57 , pp. 218-219
    • Wimmer, M.1
  • 37
    • 0019531822 scopus 로고
    • Experiments on the stability of viscous flow between two concentric rotating spheres
    • WIMMER, M. 1981 Experiments on the stability of viscous flow between two concentric rotating spheres. J. Fluid Mech. 103, 117-131.
    • (1981) J. Fluid Mech. , vol.103 , pp. 117-131
    • Wimmer, M.1
  • 38
    • 0022724834 scopus 로고
    • Hydrodynamic stability in rotating spherical layers: Application to dynamics of planetary atmospheres
    • YAVORSKAYA, I. M. & BELYAEV, YU. N. 1986 Hydrodynamic stability in rotating spherical layers: application to dynamics of planetary atmospheres. Acta Astrounautica 13, N6/7, 433-440.
    • (1986) Acta Astrounautica , vol.13 , Issue.7 N6 , pp. 433-440
    • Yavorskaya, I.M.1    Belyaev, Yu.N.2
  • 39
    • 0013280666 scopus 로고
    • Stability investigations and secondary Sows in rotating spherical layers at arbitrary Rossby number
    • YAVORSKAYA, I. M., BELYAEV, YU. N. & MONAKHOV, A. A. 1977 Stability investigations and secondary Sows in rotating spherical layers at arbitrary Rossby number. Sov. Phys. Dokl. 22, 717-719. (Transl. from Dokl. Akad. Nauk SSSR. 1977, 237, 804-807.)
    • (1977) Sov. Phys. Dokl. , vol.22 , pp. 717-719
    • Yavorskaya, I.M.1    Belyaev, Yu.N.2    Monakhov, A.A.3
  • 40
    • 3042766433 scopus 로고
    • Transl.
    • YAVORSKAYA, I. M., BELYAEV, YU. N. & MONAKHOV, A. A. 1977 Stability investigations and secondary Sows in rotating spherical layers at arbitrary Rossby number. Sov. Phys. Dokl. 22, 717-719. (Transl. from Dokl. Akad. Nauk SSSR. 1977, 237, 804-807.)
    • (1977) Dokl. Akad. Nauk SSSR. , vol.237 , pp. 804-807
  • 41
  • 42
    • 2842616593 scopus 로고
    • On stability and nonuniqueness of fluid flows in rotating spherical layers
    • YAVORSKAYA, I. M., VVEDENSKAYA, N. D. & ASTAF'EVA, N. M. 1978 On stability and nonuniqueness of fluid flows in rotating spherical layers. Dokl. Akad. Nauk SSSR 241, 52-55.
    • (1978) Dokl. Akad. Nauk SSSR , vol.241 , pp. 52-55
    • Yavorskaya, I.M.1    Vvedenskaya, N.D.2    Astaf'eva, N.M.3
  • 43
    • 0016058389 scopus 로고
    • Finite-amplitude thermal convection in a spherical shell
    • YOUNG, R. E. 1974 Finite-amplitude thermal convection in a spherical shell. J. Fluid Mech. 63, 695-721.
    • (1974) J. Fluid Mech. , vol.63 , pp. 695-721
    • Young, R.E.1
  • 46
    • 2842615479 scopus 로고
    • Numerical simulation of instability and secondary regimes in spherical Couette flow
    • ZIKANOV, O. YU. 1995 Numerical simulation of instability and secondary regimes in spherical Couette flow (in Russian). Izv. AN SSSR, Mech. Zhid. i Gaza N1, 1-15.
    • (1995) Izv. AN SSSR, Mech. Zhid. I Gaza N1 , pp. 1-15
    • Zikanov, O.Yu.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.