Lebon, Georgy ; Université de Liège - ULiège > Services généraux (Faculté des sciences) > Relations académiques et scientifiques (Sciences)
Parmentier, Patrice
Teller, O.
Dauby, Pierre ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles
Language :
English
Title :
Bénard-Marangoni instability in a viscoelastic Jeffreys' fluid layer
Bénard H. (1900) Les tourbillons cellulaires dans une nappe liquide. Revue Gén Sci Pures Appl 11:1261-1271.
Bird R.B., Artrong C., Massager O. Dynamics of polymeric liquids, vols. 1 and 2, 2nd ed., Wiley, New York; 1987.
Busse F. (1978) Nonlinear properties of thermal convection. Rep Prog Phys 41:1929-1967.
Camacho J., Jou D. (1991) Extended thermodynamics and the Jeffreys constitutive equation. Rheol Acta 30:226-229.
Chandrasekhar S. Hydrodynamic and hydromagnetic stability, Clarendon, Oxford; 1961.
Chock D., Schechter R. (1973) Critical Reynolds number of the Orr-Sommerfeld equation. Phys Fluids 16:329-330.
Cross M., Hohenberg P. (1993) Pattern formation outside of equilibrium. Rev Mod Phys 66:851-1112.
Dauby P.C., Parmentier P., Lebon G., Grmela M. (1993) Coupled buoyancy and thermocapillary convection in a viscoelastic Maxwell fluid. J Phys C 5:4343-4352.
Davis S.H. (1987) Thermocapillary instabilities. Ann Rev Fluid Mech 19:403-435.
Ferm E., Wollkind D. (1982) Onset of Rayleigh-Bénard instability: comparison between theory and experiment. J Non-Equilib Thermodyn 7:169-190.
Getachev D., Rosenblat S. (1985) Thermocapillary instability of a viscoelastic liquid layer. Acta Mechanica 85:137-149.
Jou D., Casas-Vazquez J., Lebon G. Extended irreversible thermodynamics, Springer, Berlin; 1993.
Koschmieder E.L. Bénard cells and Taylor vortices, Cambridge University Press, Cambridge; 1993.
Larson R.G. (1992) Instabilities in viscoelastic flows. Rheol Acta 31:213-263.
Lebon G., Cloot A. (1988) An extended thermodynamic approach of non-Newtonian fluids and related results in Marangoni instability problem. J Non-Newt Fluid Mech 28:61-76.
Lebon G., Dauby P.C., Palumbo A., Valenti G. (1990) Rheological properties of polymer solutions: an extended thermodynamic approach. Rheol Acta 29:127-136.
Martines J., Perez-Garcia (1990) Linear instability in viscoelastic fluid convection. J Phys C 2:1281-1290.
Nield D. (1964) Surface tension and buoyancy effects in cellular convection. J Fluid Mech 19:341-352.
Normand C., Pomeau Y., Velarde M. (1977) Convective instability: a physicist's approach. Rev Mod Phys 49:581-624.
Palm E. (1975) Nonlinear thermal convection. Annual Review of Fluid Mechanics 7:39-61.
Pearson J.R. (1958) On convection cells induced by surface tension. J Fluid Mech 4:489-500.
Rayleigh (1916) On convection currents in a horizontal fluid layer of fluid, when the higher temperature is on the under side. Philosophical Magazine Series 6 32:529-546.
Rosenblat S. (1986) Thermal convection in a viscoelastic fluid. J Non-Newt Fluid Mech 21:203-223.
Sokolov M., Tanner R. (1972) Convective stability of a general viscoelastic fluid heated from below. Phys Fluids 15:534-539.
Tanner R. Engineering theology, Oxford Univesity Press, Oxford; 1985.
Teller O. Instabilités thermoconvectives de Bénard-Marangoni dans les fluides viscoélastiques, Internal report, Liège University, Liège; 1993.
Vest C., Arpacci C. (1969) Overstability of a viscoelastic fluid layer heated from below. J Fluid Mech 36:613-623.
