[en] Benard-Marangoni instability, with coupled gravity and surface tension effects, in an evaporating liquid layer surmounted by its vapor and an inert gas is investigated theoretically. We show that this system can be described by a model that consists in the liquid layer equations plus the diffusion equation for the vapor in the gas (the so-called 1.5-sided model) and that this model is equivalent to a one-sided model when the vapor mass fraction field can be considered as quasi-stationary, provided that the equivalent Biot number is a nonlocal function of the interface temperature. A comparison of weakly nonlinear results for the 1.5-sided model with a previous one-sided model [M. Dondlinger, J. Margerit, P.C. Dauby, J. Colloid Interface Sci. 283 (2) (2005) 522-532] that considered a Biot number depending on the wavenumber evaluated at the threshold is performed. Very good agreement is found between both models. For this reason, the present analysis can also be considered as a detailed theoretical justification for the use of a one-sided model in the study of evaporative thermoconvection.
Disciplines :
Physics
Author, co-author :
Margerit, Jonathan
Dondlinger, Mireille
Dauby, Pierre ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles
Language :
English
Title :
Improved 1.5-sided model for the weakly nonlinear study of Benard-Marangoni instabilities in an evaporating liquid layer.
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Bibliography
H. Bénard Ann. Chem. Phys. 23 1901 62
D.A. Nield J. Fluid Mech. 19 1964 341
J.R.A. Pearson J. Fluid Mech. 4 1958 489
E.L. Koschmieder Bénard Cells and Taylor Vortices 1993 Cambridge Univ. Press Cambridge, UK
C. Normand, Y. Pomeau, and M. Velarde Rev. Mod. Phys. 49 1977 581
P. Colinet, J.C. Legros, and M.G. Velarde Nonlinear Dynamics of Surface Tension Driven Instabilities 2001 Wiley-VCH Berlin
J.C. Berg, M. Boudart, and A. Acrivos J. Fluid Mech. 24 1966 721
P. Colinet, L. Joannes, C.S. Iorio, B. Haut, M. Bestehorn, G. Lebon, and J.C. Legros Adv. Space Res. 32 2003 119
H. Mancini, and D. Maza Europhys. Lett. 66 6 2004 812 818
V. Ha, and C. Lai J. Chin. Inst. Eng. 21 1998 547
P. Colinet, B. Haut, J. Margerit, F. Peeters, J.C. Legros, G. Lebon, V. Halloin, in: Proc. of CHISA 2002, 15th International Congress of Chemical and Process Engineering, CD-ROM, Paper 858
B. Haut, and P. Colinet J. Colloid Interface Sci. 285 2005 296 305
C. Moussy, G. Lebon, and J. Margerit Eur. Phys. J. B 40 2004 327 335
M. Dondlinger, J. Margerit, and P.C. Dauby J. Colloid Interface Sci. 283 2005 522 532
D. Merkt, and M. Bestehorn Physica D 185 2003 196
R.C. Reid, J.M. Prausnitz, and B.E. Poling The Properties of Gases and Liquids 1987 McGraw-Hill New York
V.P. Carey Liquid-Vapor Phase Change Phenomena: An Introduction to the Thermophysics of Vaporization and Condensation in Heat Transfer Equipment, Hemisphere Publishing Corporation 1992 Washington DC
J. Margerit, G. Lebon, P. Colinet, C.S. Iorio, and J.C. Legros Phys. Rev. E 68 2003 041601
J.P. Burelbach, and S.G.B.S.H. Davis J. Fluid Mech. 195 1988 463
P.M. Parmentier, V.C. Regnier, G. Lebon, and J.C. Legros Phys. Rev. E 54 1996 411
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