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Volumn 89, Issue 1-2, 2000, Pages 63-95

Weakly nonlinear analysis of Benard-Marangoni instability in viscoelastic fluids

Author keywords

Dimensionless numbers; Nonlinear analysis; Viscoelastic medium

Indexed keywords

CAPILLARY FLOW; GRAVITATIONAL EFFECTS; HEAT CONVECTION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PRANDTL NUMBER; RHEOLOGY; ROTATIONAL FLOW; THERMAL GRADIENTS; VISCOELASTICITY; VISCOUS FLOW;

EID: 0034652517     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(99)00031-2     Document Type: Article
Times cited : (39)

References (23)
  • 1
    • 0000248451 scopus 로고
    • Les tourbillons cellularies dans uns nappe liquide
    • Bénard H. Les tourbillons cellularies dans uns nappe liquide. Revue Gén. Sci. Pur. Appl. 11:1900;1261-1309.
    • (1900) Revue Gén. Sci. Pur. Appl. , vol.11 , pp. 1261-1309
    • Bénard, H.1
  • 2
    • 84947690949 scopus 로고
    • On convection cells induced by surface tension
    • Pearson J.R.A. On convection cells induced by surface tension. J. Fluid Mech. 4:1958;489.
    • (1958) J. Fluid Mech. , vol.4 , pp. 489
    • Pearson, J.R.A.1
  • 3
    • 0003353850 scopus 로고
    • Stability of fluid motions II
    • Chap. X, Springer, Berlin
    • D.D., Joseph, Stability of fluid motions II, Springer Tracts in Natural Philosphy, vol. 28, Chap. X, Springer, Berlin, 1976.
    • (1976) Springer Tracts in Natural Philosphy , vol.28
    • Joseph, D.D.1
  • 4
    • 0003339543 scopus 로고
    • Fluid Dynamics of Viscoelastic Liquids
    • Chaps. 1 and 2, Springer, New York
    • D.D. Joseph, Fluid Dynamics of Viscoelastic Liquids, Applied Mathematical Sciences, vol. 84, Chaps. 1 and 2, Springer, New York, 1990.
    • (1990) Applied Mathematical Sciences , vol.84
    • Joseph, D.D.1
  • 6
    • 0022046581 scopus 로고
    • Thermocapillary instability of a viscoelastic liquid layer
    • Getachew D., Rosenblat S. Thermocapillary instability of a viscoelastic liquid layer. Acta Mechanica. 58:1985;137.
    • (1985) Acta Mechanica , vol.58 , pp. 137
    • Getachew, D.1    Rosenblat, S.2
  • 7
    • 0000800858 scopus 로고
    • Convective stability of a general viscoelastic heated from below
    • Sokolov M., Tanner R. Convective stability of a general viscoelastic heated from below. Phys. Fluids. 15:1972;534.
    • (1972) Phys. Fluids , vol.15 , pp. 534
    • Sokolov, M.1    Tanner, R.2
  • 8
    • 0022733871 scopus 로고
    • Thermal convection in a viscoelastic liquid
    • Rosenblat S. Thermal convection in a viscoelastic liquid. J. Non-Newtonian Fluid Mech. 21:1986;201.
    • (1986) J. Non-Newtonian Fluid Mech. , vol.21 , pp. 201
    • Rosenblat, S.1
  • 10
    • 33751371137 scopus 로고
    • Instabilities in viscoelastic flows
    • Larson R.G. Instabilities in viscoelastic flows. Rheol. Acta. 31:1992;213.
    • (1992) Rheol. Acta , vol.31 , pp. 213
    • Larson, R.G.1
  • 11
    • 0000610324 scopus 로고
    • Coupled buoyancy and thermocapillary convection in a viscoelastic Maxwell fluid
    • Dauby P.C., Parmentier P., Lebon G., Grmela M. Coupled buoyancy and thermocapillary convection in a viscoelastic Maxwell fluid. J. Phys.: Cond. Matter. 5:1993;4343.
    • (1993) J. Phys.: Cond. Matter , vol.5 , pp. 4343
    • Dauby, P.C.1    Parmentier, P.2    Lebon, G.3    Grmela, M.4
  • 12
    • 0001150271 scopus 로고
    • Bénard-Marangoni instability in a viscoelastic Jeffrey's fluid layer
    • Lebon G., Parmentier P., Teller O., Dauby P.C. Bénard-Marangoni instability in a viscoelastic Jeffrey's fluid layer. Rheol. Acta. 33:1994;257.
    • (1994) Rheol. Acta , vol.33 , pp. 257
    • Lebon, G.1    Parmentier, P.2    Teller, O.3    Dauby, P.C.4
  • 13
    • 0028468702 scopus 로고
    • Chaos and overstability in the thermal convection of viscoelastic fluids
    • Khayat R. Chaos and overstability in the thermal convection of viscoelastic fluids. J. Non-Newtonian Fluid Mech. 53:1994;227.
    • (1994) J. Non-Newtonian Fluid Mech. , vol.53 , pp. 227
    • Khayat, R.1
  • 14
    • 0029328894 scopus 로고
    • Nonlinear overstability in the thermal convection of viscoelastic fluids
    • Khayat R. Nonlinear overstability in the thermal convection of viscoelastic fluids. J. Non-Newtonian Fluid Mech. 58:1995;331.
    • (1995) J. Non-Newtonian Fluid Mech. , vol.58 , pp. 331
    • Khayat, R.1
  • 15
    • 0007929996 scopus 로고    scopus 로고
    • Amplitude equations and pattern selection in viscoelastic convection
    • Martinez-Mardones J., Tiemann R., Walgraef D., Zeller W. Amplitude equations and pattern selection in viscoelastic convection. Phys. Rev. E54:1996;1478.
    • (1996) Phys. Rev. , vol.54 , pp. 1478
    • Martinez-Mardones, J.1    Tiemann, R.2    Walgraef, D.3    Zeller, W.4
  • 16
    • 0141498428 scopus 로고
    • Engineering Rheology
    • Chap. 4, 10 Clarendon Press, Oxford
    • R.I. Tanner, Engineering Rheology, Oxford Engineering Science Series, vol. 14, Chap. 4, 10 Clarendon Press, Oxford, 1985.
    • (1985) Oxford Engineering Science Series , vol.14
    • Tanner, R.I.1
  • 18
    • 0000610727 scopus 로고    scopus 로고
    • A nonlinear analysis of coupled gravitational and capillary thermoconvection in thin fluid layers
    • Parmentier P., Regnier V., Lebon G. A nonlinear analysis of coupled gravitational and capillary thermoconvection in thin fluid layers. Phys. Rev. E. 54:1996;411.
    • (1996) Phys. Rev. e , vol.54 , pp. 411
    • Parmentier, P.1    Regnier, V.2    Lebon, G.3
  • 19
    • 0001481019 scopus 로고    scopus 로고
    • Square cells in gravitational and capillary thermoconvection
    • Regnier V., Dauby P.C., Parmentier P., Lebon G. Square cells in gravitational and capillary thermoconvection. Phys. Rev. E. 55:1997;6860.
    • (1997) Phys. Rev. e , vol.55 , pp. 6860
    • Regnier, V.1    Dauby, P.C.2    Parmentier, P.3    Lebon, G.4
  • 20
    • 57049166756 scopus 로고
    • Chaps. 7 and 49, Cambridge University Press, Cambridge
    • P.G. Drazin and W.H. Reid, Hydrodynamic stability, Chaps. 7 and 49, Cambridge University Press, Cambridge, 1991.
    • (1991) Hydrodynamic Stability
    • Drazin, P.G.1    Reid, W.H.2
  • 22
    • 0032501941 scopus 로고    scopus 로고
    • Square cells in surface tension-driven Bénard convection: Experiment and theory
    • Eckert K., Bestehorn M., Thess A. Square cells in surface tension-driven Bénard convection: experiment and theory. J. Fluid Mech. 356:1998;155.
    • (1998) J. Fluid Mech. , vol.356 , pp. 155
    • Eckert, K.1    Bestehorn, M.2    Thess, A.3
  • 23
    • 0000241853 scopus 로고
    • Deterministic periodic flow, J
    • Lorenz E.N. Deterministic periodic flow, J. Atmos. Sci. 20:1963;130.
    • (1963) Atmos. Sci. , vol.20 , pp. 130
    • Lorenz, E.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.