Convection of a binary mixture under high-frequency vibrations

Sergey M. Ishutov; Bela I. Myznikova; Boris L. Smorodin

doi:10.1016/j.crme.2012.12.001

Convection of a binary mixture under high-frequency vibrations

Sergey M. Ishutov ¹ ; Bela I. Myznikova ² ; Boris L. Smorodin ¹

¹ Perm State National Research University, Department of Physics of Phase Transitions, 15 Bukirev str., 614990 Perm, Russia
² Institute of Continuous Medium Mechanics, Ural Branch of Russian Academy of Sciences, 1 Academician Korolyov str., 614013 Perm, Russia

Comptes Rendus. Mécanique, Volume 341 (2013) no. 4-5, pp. 477-482.

Résumé

The spatiotemporal evolution of steady and oscillatory convective roll patterns in a plane horizontal layer subject to steady gravity and high-frequency vibrations is investigated numerically, considering a laterally periodic convective cell with rigid, impermeable horizontal boundaries. Simulations are performed for parameters adapted to laboratory experiments with an ethanol/water mixture with negative Soret coupling between temperature and concentration fields. The characteristics of the patterns are investigated in relation to heat intensity. Bifurcation diagrams are presented in the “Rayleigh number–Gershuni number” plane.

Publié le : 2013-03-07

DOI : 10.1016/j.crme.2012.12.001

Mots clés : Binary mixture, High-frequency vibrations, Travelling wave regime

Affiliations des auteurs :

Sergey M. Ishutov ¹ ; Bela I. Myznikova ² ; Boris L. Smorodin ¹

¹ Perm State National Research University, Department of Physics of Phase Transitions, 15 Bukirev str., 614990 Perm, Russia
² Institute of Continuous Medium Mechanics, Ural Branch of Russian Academy of Sciences, 1 Academician Korolyov str., 614013 Perm, Russia

@article{CRMECA_2013__341_4-5_477_0,
     author = {Sergey M. Ishutov and Bela I. Myznikova and Boris L. Smorodin},
     title = {Convection of a binary mixture under high-frequency vibrations},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {477--482},
     publisher = {Elsevier},
     volume = {341},
     number = {4-5},
     year = {2013},
     doi = {10.1016/j.crme.2012.12.001},
     language = {en},
}

TY  - JOUR
AU  - Sergey M. Ishutov
AU  - Bela I. Myznikova
AU  - Boris L. Smorodin
TI  - Convection of a binary mixture under high-frequency vibrations
JO  - Comptes Rendus. Mécanique
PY  - 2013
SP  - 477
EP  - 482
VL  - 341
IS  - 4-5
PB  - Elsevier
DO  - 10.1016/j.crme.2012.12.001
LA  - en
ID  - CRMECA_2013__341_4-5_477_0
ER  -

%0 Journal Article
%A Sergey M. Ishutov
%A Bela I. Myznikova
%A Boris L. Smorodin
%T Convection of a binary mixture under high-frequency vibrations
%J Comptes Rendus. Mécanique
%D 2013
%P 477-482
%V 341
%N 4-5
%I Elsevier
%R 10.1016/j.crme.2012.12.001
%G en
%F CRMECA_2013__341_4-5_477_0

Sergey M. Ishutov; Bela I. Myznikova; Boris L. Smorodin. Convection of a binary mixture under high-frequency vibrations. Comptes Rendus. Mécanique, Volume 341 (2013) no. 4-5, pp. 477-482. doi : 10.1016/j.crme.2012.12.001. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2012.12.001/

Bibliographie
Cité par

[1] G.Z. Gershuni; E.M. Zhukhovitskii Free thermal convection in the vibrational field in microgravity, Dokl. Akad. Nauk SSSR, Volume 249 (1979) no. 3, pp. 580-584

[2] G.Z. Gershuni; D.V. Lyubimov Thermal Vibrational Convection, John Wiley & Sons, 1997

[3] A. Mialdun; I.I. Ryzhkov; D.E. Melnikov; V. Shevtsova Phys. Rev. Lett., 101 (2008), p. 184501

[4] S.M. Zenʼkovskaya; I.B. Simonenko Impact of high-frequency vibrations on the emergence of convection, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, Volume 5 (1966), pp. 51-55

[5] S.M. Zenʼkovskaya, Effect of vibrations on emergence of convection in a binary mixture, Rostov University, Rostov-on-Don, 1981. Deposited in VINITI 04.10.81, No. 1570-81.

[6] J.K. Platten; J.-C. Legros Convection in Liquids, Springer-Velag, Berlin, Heidelberg, 1984

[7] G.Z. Gershuni; A.K. Kolesnikov; J.-C. Legros; B.I. Myznikova On the vibrational convective instability of a horizontal binary-mixture layer with Soret effect, J. Fluid Mech., Volume 330 (1997), pp. 251-269

[8] B.L. Smorodin; B.I. Myznikova Convective instability of the thermovibrational flow of binary mixture in the presence of Soret effect, Philos. Mag., Volume 83 (2003) no. 17/18, pp. 2155-2170

[9] C. Fütterer; M. Lücke Growth of binary fluid convection: the role of the concentration field, Phys. Rev. E, Volume 65 (2002), p. 036315

[10] B.L. Winkler; P. Kolodner Measurements of the concentration field in nonlinear travelling-wave convection, J. Fluid Mech., Volume 240 (1992), pp. 31-58

Cité par Sources :

Commentaires - Politique