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Benard-marangoni Instability in a Viscoelastic Jeffreys Fluid Layer

Bibliographic reference Lebon, Georgy ; Parmentier, P. ; Teller, O. ; Dauby, PC.. Benard-marangoni Instability in a Viscoelastic Jeffreys Fluid Layer. In: Rheologica Acta : an international journal of rheology, Vol. 33, no. 4, p. 257-266 (1994)
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  1. Bénard H (1900) Les tourbillons cellulaires dans une nappe liquide. Revue Gén Sci Pures Appl 11:1261?1271
  2. Bird RB, Armstrong C, Massager O (1987) Dynamics of polymeric liquids, vols. 1 and 2, 2nd ed. Wiley, New York
  3. Busse F (1978) Nonlinear properties of thermal convection. Rep Prog Phys 41:1929?1967
  4. Camacho J, Jou D (1991) Extended thermodynamics and the Jeffreys constitutive equation. Rheol Acta 30:226?229
  5. Chandrasekhar S (1961) Hydrodynamic and hydromagnetic stability. Clarendon, Oxford
  6. Chock D, Schechter R (1973) Critical Reynolds number of the Orr-Sommerfeld equation. Phys Fluids 16:329?330
  7. Cross M, Hohenberg P (1993) Pattern formation outside of equilibrium. Rev Mod Phys 66:851?1112
  8. Dauby PC, Parmentier P, Lebon G, Grmela M (1993) Coupled buoyancy and thermocapillary convection in a viscoelastic Maxwell fluid. J Phys C 5:4343?4352
  9. Davis SH (1987) Thermocapillary instabilities. Ann Rev Fluid Mech 19:403?435
  10. Ferm E, Wollkind D (1982) Onset of Rayleigh-Bénard instability: comparison between theory and experiment. J Non-Equilib Thermodyn 7:169?190
  11. Getachev D, Rosenblat S (1985) Thermocapillary instability of a viscoelastic liquid layer. Acta Mechanica 85:137?149
  12. Jou David, Casas-Vázquez José, Lebon Georgy, Extended Irreversible Thermodynamics, ISBN:9783540558743, 10.1007/978-3-642-97430-4
  13. Koschmieder EL (1993) Bénard cells and Taylor vortices. Cambridge University Press, Cambridge
  14. Larson RG (1992) Instabilities in viscoelastic flows. Rheol Acta 31:213?263
  15. 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
  16. Lebon G, Dauby PC, Palumbo A, Valenti G (1990) Rheological properties of polymer solutions: an extended thermodynamic approach. Rheol Acta 29:127?136
  17. Martines J, Perez-Garcia (1990) Linear instability in viscoelastic fluid convection. J Phys C 2:1281?1290
  18. Nield D (1964) Surface tension and buoyancy effects in cellular convection. J Fluid Mech 19:341?352
  19. Normand C, Pomeau Y, Velarde M (1977) Convective instability: a physicist's approach. Rev Mod Phys 49:581?624
  20. Palm E (1975) Nonlinear thermal convection. Ann Rev Fluid Mech 7:39?61
  21. Pearson JR (1958) On convection cells induced by surface tension. J Fluid Mech 4:489?500
  22. Rayleigh Lord, LIX.On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side, 10.1080/14786441608635602
  23. Rosenblat S (1986) Thermal convection in a viscoelastic fluid. J Non-Newt Fluid Mech 21:203?223
  24. Sokolov M, Tanner R (1972) Convective stability of a general viscoelastic fluid heated from below. Phys Fluids 15:534?539
  25. Tanner R (1985) Engineering theology. Oxford Univesity Press, Oxford
  26. Teller O (1993) Instabilités thermoconvectives de Bénard-Marangoni dans les fluides viscoélastiques. Internal report, Liège University, Liège
  27. Vest C, Arpacci C (1969) Overstability of a viscoelastic fluid layer heated from below. J Fluid Mech 36:613?623