메뉴 건너뛰기




Volumn 341, Issue , 1997, Pages 317-341

Nonlinear evolution and secondary instabilities of Marangoni convection in a liquid-gas system with deformable interface

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; PHASE INTERFACES; SURFACE TENSION; TWO PHASE FLOW;

EID: 0031171887     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097005582     Document Type: Article
Times cited : (62)

References (42)
  • 1
    • 34249751687 scopus 로고
    • Phase and amplitude instabilities for Benard-Marangoni convection in fluid layers with large aspect ratio
    • BESTEHORN, M. 1993 Phase and amplitude instabilities for Benard-Marangoni convection in fluid layers with large aspect ratio. Phys. Rev. E 48, 3622-3634.
    • (1993) Phys. Rev. E , vol.48 , pp. 3622-3634
    • Bestehorn, M.1
  • 2
    • 21844483639 scopus 로고
    • Pattern selection in Benard-Marangoni convection
    • BESTEHORN, M. 1994 Pattern selection in Benard-Marangoni convection. Intl J. Bifurcation and Chaos 4, 1085-1094.
    • (1994) Intl J. Bifurcation and Chaos , vol.4 , pp. 1085-1094
    • Bestehorn, M.1
  • 3
    • 0002272388 scopus 로고    scopus 로고
    • Square patterns in Benard-Marangoni convection
    • BLSTEHORN, M. 1996 Square patterns in Benard-Marangoni convection. Phys. Rev. Lett. 76, 46-49.
    • (1996) Phys. Rev. Lett. , vol.76 , pp. 46-49
    • Blstehorn, M.1
  • 4
    • 84956097837 scopus 로고
    • Non-linear Marangoni convection in a layer of finite depth
    • BRAGARD, J. & LEBON, G. 1993 Non-linear Marangoni convection in a layer of finite depth. Europhys. Lett. 21, 831-836.
    • (1993) Europhys. Lett. , vol.21 , pp. 831-836
    • Bragard, J.1    Lebon, G.2
  • 6
    • 0001188381 scopus 로고
    • Envelope equations near the onset of a hexagonal pattern
    • BRAND, H. R. 1989 Envelope equations near the onset of a hexagonal pattern. Prog. Theor. Phys. Suppl. 99, 442-449.
    • (1989) Prog. Theor. Phys. Suppl. , vol.99 , pp. 442-449
    • Brand, H.R.1
  • 7
    • 84951362799 scopus 로고
    • The stability of finite amplitude cellular convection and its relation to an extremum principle
    • BUSSE, F. H. 1967 The stability of finite amplitude cellular convection and its relation to an extremum principle. J. Fluid Mech. 30, 625-649.
    • (1967) J. Fluid Mech. , vol.30 , pp. 625-649
    • Busse, F.H.1
  • 8
    • 0021472518 scopus 로고
    • A non-linear stability analysis of the Benard-Marangoni problem
    • CLOOT, A. & LEBON, G. 1984 A non-linear stability analysis of the Benard-Marangoni problem. J. Fluid Mech. 145, 447-469.
    • (1984) J. Fluid Mech. , vol.145 , pp. 447-469
    • Cloot, A.1    Lebon, G.2
  • 9
    • 0027698626 scopus 로고
    • Hexagonal Marangoni convection in a rectangular box with slippery walls
    • DAUBY, P. C. & LEBON, G. 1993 Hexagonal Marangoni convection in a rectangular box with slippery walls. Q. J. Mech. Appl. Maths 46, 683-707.
    • (1993) Q. J. Mech. Appl. Maths , vol.46 , pp. 683-707
    • Dauby, P.C.1    Lebon, G.2
  • 10
    • 0642280461 scopus 로고
    • An experimental study of Rayleigh-Benard convection in liquid tin
    • GINDE, R. M., GILL, W. N. & VERHOEVEN, J. D. 1989 An experimental study of Rayleigh-Benard convection in liquid tin. Chem. Engng Commun. 82, 223-228.
    • (1989) Chem. Engng Commun. , vol.82 , pp. 223-228
    • Ginde, R.M.1    Gill, W.N.2    Verhoeven, J.D.3
  • 11
    • 0002330901 scopus 로고
    • Interaction between short-scale Marangoni convection and long-scale deformational instability
    • GOLOVIN, A. A., NEPOMNYASHCHY, A. A. & PISMEN, L. M. 1994 Interaction between short-scale Marangoni convection and long-scale deformational instability. Phys. Fluids 6, 34-48.
    • (1994) Phys. Fluids , vol.6 , pp. 34-48
    • Golovin, A.A.1    Nepomnyashchy, A.A.2    Pismen, L.M.3
  • 12
    • 0000934296 scopus 로고
    • Pattern formation in large-scale Marangoni convection with deformable interface
    • GOLOVIN, A. A., NEPOMNYASHCHY, A. A. & PISMEN, L. M. 1995 Pattern formation in large-scale Marangoni convection with deformable interface. Physica D 81, 117-147.
    • (1995) Physica D , vol.81 , pp. 117-147
    • Golovin, A.A.1    Nepomnyashchy, A.A.2    Pismen, L.M.3
  • 13
    • 0005206954 scopus 로고    scopus 로고
    • Steady and oscillatory side-band instabilities in Marangoni convection with deformable interface
    • to appear
    • GOLOVIN, A. A., NEPOMNYASHCHY, A. A., PISMEN, L. M. & RIECKE, H. 1997 Steady and oscillatory side-band instabilities in Marangoni convection with deformable interface. Physica D, to appear.
    • (1997) Physica D
    • Golovin, A.A.1    Nepomnyashchy, A.A.2    Pismen, L.M.3    Riecke, H.4
  • 14
    • 24544442979 scopus 로고
    • Pattern formation in the presence of symmetries
    • GUNARATNE, G. H., OUYANG, Q. & SWINNEY, H. 1994 Pattern formation in the presence of symmetries. Phys. Rev. E 50, 2802-2820.
    • (1994) Phys. Rev. E , vol.50 , pp. 2802-2820
    • Gunaratne, G.H.1    Ouyang, Q.2    Swinney, H.3
  • 15
    • 0028742705 scopus 로고
    • Non-linear thermal convection in the Benard-Marangoni problem with a free deformable interface
    • ASME
    • HADJI, L. 1994 Non-linear thermal convection in the Benard-Marangoni problem with a free deformable interface. In Two Fluid Flows - With or Without Phase Change. ASME AMD vol. 184, pp. 87-94.
    • (1994) Two Fluid Flows - With or Without Phase Change , vol.184 AMD , pp. 87-94
    • Hadji, L.1
  • 16
    • 0000832960 scopus 로고    scopus 로고
    • Non-linear analysis of the coupling between interface deflection and hexagonal pattern in Rayleigh-Benard-Marangoni convection
    • HADJI, L. 1996 Non-linear analysis of the coupling between interface deflection and hexagonal pattern in Rayleigh-Benard-Marangoni convection. Phys. Rev. E 53, 5982-5992.
    • (1996) Phys. Rev. E , vol.53 , pp. 5982-5992
    • Hadji, L.1
  • 17
    • 85008053968 scopus 로고
    • Theoretical study of the stability of two-fluid layers
    • IMAISHI, N. & FUJINAWA, K. 1974 Theoretical study of the stability of two-fluid layers. J. Chem. Engng Japan 7, 81-86.
    • (1974) J. Chem. Engng Japan , vol.7 , pp. 81-86
    • Imaishi, N.1    Fujinawa, K.2
  • 18
    • 0019067840 scopus 로고
    • Effect of oscillatory instability on stability of two-fluid layers
    • IMAISHI, N., FUJINAWA, K. & TADAKI, T. 1980 Effect of oscillatory instability on stability of two-fluid layers. J. Chem. Engng Japan 13, 360-365.
    • (1980) J. Chem. Engng Japan , vol.13 , pp. 360-365
    • Imaishi, N.1    Fujinawa, K.2    Tadaki, T.3
  • 19
    • 0029170610 scopus 로고
    • Non-linear waves and turbulence in Marangoni convection
    • KAZHDAN, D., SHTILMAN, L., GOLOVIN, A. A. & PISMEN, L. M. 1995 Non-linear waves and turbulence in Marangoni convection. Phys. Fluids 7, 2679-2685.
    • (1995) Phys. Fluids , vol.7 , pp. 2679-2685
    • Kazhdan, D.1    Shtilman, L.2    Golovin, A.A.3    Pismen, L.M.4
  • 20
    • 0022739046 scopus 로고
    • Onset of surface-tension-driven convection
    • KOSCHMIEDER, E. L. & BIGGERSTAFF, M. I. 1986 Onset of surface-tension-driven convection. J. Fluid Mech. 167, 49-64.
    • (1986) J. Fluid Mech. , vol.167 , pp. 49-64
    • Koschmieder, E.L.1    Biggerstaff, M.I.2
  • 21
    • 0000445624 scopus 로고
    • New amplitude equation for Boussinesq convection and non-equilateral hexagonal patterns
    • KUZNETSOV, E. A., NEPOMNYASHCHY, A. A. & PISMEN, L. M. 1995 New amplitude equation for Boussinesq convection and non-equilateral hexagonal patterns. Phys. Lett. A 205, 261-265.
    • (1995) Phys. Lett. A , vol.205 , pp. 261-265
    • Kuznetsov, E.A.1    Nepomnyashchy, A.A.2    Pismen, L.M.3
  • 23
    • 0007381793 scopus 로고
    • Stability of stationary periodic structures for weakly supercritical convection and related problems
    • MALOMED, B. A. & TRIBELSKII, M. I. 1987 Stability of stationary periodic structures for weakly supercritical convection and related problems. Sov. Phys. JETP 65, 305-310.
    • (1987) Sov. Phys. JETP , vol.65 , pp. 305-310
    • Malomed, B.A.1    Tribelskii, M.I.2
  • 24
    • 0014662728 scopus 로고
    • Finite bandwidth, finite amplitude convection
    • NEWELL, A. C. & WHITEHEAD, J. A. 1969 Finite bandwidth, finite amplitude convection. J. Fluid Mech. 38, 279-303.
    • (1969) J. Fluid Mech. , vol.38 , pp. 279-303
    • Newell, A.C.1    Whitehead, J.A.2
  • 25
    • 35949004704 scopus 로고
    • Secondary instability in surface-tension-driven Benard convection
    • NITSCHKE, K. & THESS, A. 1995 Secondary instability in surface-tension-driven Benard convection. Phys. Rev. E 52, R5772-R5775.
    • (1995) Phys. Rev. E , vol.52
    • Nitschke, K.1    Thess, A.2
  • 27
    • 0000689121 scopus 로고
    • On the tendency towards hexagonal cells in steady convection
    • PALM, E. 1960 On the tendency towards hexagonal cells in steady convection. J. Fluid Mech. 8, 183-192.
    • (1960) J. Fluid Mech. , vol.8 , pp. 183-192
    • Palm, E.1
  • 28
    • 0000610727 scopus 로고    scopus 로고
    • Non-linear analysis of coupled gravitational and capillary thermoconvection in thin liquid layers
    • PARMENTIER, P. M., REGNIER, V. C. & LEBON, G. 1996 Non-linear analysis of coupled gravitational and capillary thermoconvection in thin liquid layers. Phys. Rev. E 54, 411-423.
    • (1996) Phys. Rev. E , vol.54 , pp. 411-423
    • Parmentier, P.M.1    Regnier, V.C.2    Lebon, G.3
  • 29
    • 84956085159 scopus 로고
    • Structure of dislocations in the hexagonal pattern
    • PISMEN, L. M. & NEPOMNYASHCHY, A. A. 1993 Structure of dislocations in the hexagonal pattern. Europhys. Lett. 24, 461-465.
    • (1993) Europhys. Lett. , vol.24 , pp. 461-465
    • Pismen, L.M.1    Nepomnyashchy, A.A.2
  • 30
    • 11744373488 scopus 로고
    • Front motion, metastability and subcritical bifurcation
    • POMEAU, Y. 1986 Front motion, metastability and subcritical bifurcation. Physica D 23, 3-11.
    • (1986) Physica D , vol.23 , pp. 3-11
    • Pomeau, Y.1
  • 32
    • 49049144890 scopus 로고
    • Linear perturbation analysis of surface tension driven convection at a plane interface (Marangoni instability)
    • REICHENBACH, J. & LINDE, H. 1981 Linear perturbation analysis of surface tension driven convection at a plane interface (Marangoni instability). J. Colloid Interface Sci. 84, 433-443.
    • (1981) J. Colloid Interface Sci. , vol.84 , pp. 433-443
    • Reichenbach, J.1    Linde, H.2
  • 33
    • 84959689008 scopus 로고
    • Finite-amplitude cellular convection induced by surface tension
    • SCANLON, J. W. & SEGEL, L. A. 1967 Finite-amplitude cellular convection induced by surface tension. J. Fluid Mech. 30, 149-162.
    • (1967) J. Fluid Mech. , vol.30 , pp. 149-162
    • Scanlon, J.W.1    Segel, L.A.2
  • 35
    • 0014560133 scopus 로고
    • Distant side-walls cause slow amplitude modulation of cellular convection
    • SEGEL, L. E. 1969 Distant side-walls cause slow amplitude modulation of cellular convection. J. Fluid Mech. 38, 203-224.
    • (1969) J. Fluid Mech. , vol.38 , pp. 203-224
    • Segel, L.E.1
  • 37
    • 0000562744 scopus 로고
    • On convective instability induced by surface tension gradients
    • SMITH, K. A. 1966 On convective instability induced by surface tension gradients. J. Fluid Mech. 24, 401-414.
    • (1966) J. Fluid Mech. , vol.24 , pp. 401-414
    • Smith, K.A.1
  • 38
    • 0019601741 scopus 로고
    • Surface tension driven instability in a horizontal liquid layer with a deformable free surface
    • TAKASHIMA, M. 1981 Surface tension driven instability in a horizontal liquid layer with a deformable free surface. J. Phys. Soc. Japan 50, 2745-2750.
    • (1981) J. Phys. Soc. Japan , vol.50 , pp. 2745-2750
    • Takashima, M.1
  • 39
    • 0001580847 scopus 로고
    • Planform selection in Benard-Marangoni convection: L-hexagons versus g-hexagons
    • THESS, A. & BESTEHORN, M. 1995 Planform selection in Benard-Marangoni convection: l-hexagons versus g-hexagons. Phys. Rev. E 52, 6358-6367.
    • (1995) Phys. Rev. E , vol.52 , pp. 6358-6367
    • Thess, A.1    Bestehorn, M.2
  • 40
    • 0029137901 scopus 로고
    • Surface-tension-driven Benard convection at infinite Prandtl number
    • THESS, A. & ORSZAG, S. A. 1995 Surface-tension-driven Benard convection at infinite Prandtl number. J. Fluid Mech. 283, 201-230.
    • (1995) J. Fluid Mech. , vol.283 , pp. 201-230
    • Thess, A.1    Orszag, S.A.2
  • 42
    • 0000246423 scopus 로고
    • The advancing front of a spreading liquid
    • WILLIAMS, R. 1977 The advancing front of a spreading liquid. Nature 266, 153-154.
    • (1977) Nature , vol.266 , pp. 153-154
    • Williams, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.