Comptes Rendus
Microgravity and Transfers/Interfaces and phase change, two-phase flow
The Bjerknes instability during crystal nucleation by acoustic waves
[L'instabilité de Bjerknes au cours de la nucléation d'un cristal par onde acoustique]
Comptes Rendus. Mécanique, Volume 332 (2004) no. 5-6, pp. 361-365.

On étudie ici l'instabilité de position d'un cristal sphérique dans un champ acoustique. Etant donné la force de Bjerknes, un cristal dont la position se trouve décalée par rapport à un ventre de pression se déplace dans le champ acoustique. Ce déplacement, stable dans le cas des bulles de cavitation, s'avère instable en cristallisation. Cet effet est étudié en fonction du nombre d'Atwood.

The instability of position of a growing spherical crystal in an acoustic field is studied. Due to the Bjerknes force, a spherical crystal, whose position is shifted from an antinode of pressure, moves in the acoustic field. This displacement, stable in the case of bubbles in a cavitation experiment, turns out to be unstable in the case of crystallization. This effect is studied for an arbitrary Atwood number.

Publié le :
DOI : 10.1016/j.crme.2004.02.002
Keywords: Acoustics, Waves, Vibrations, Crystallization, Solid helium, Bjerknes force, Cavitation
Mot clés : Acoustique, Ondes, Vibrations, Cristallisation, Helium solide, Force de Bjerknes, Cavitation
Martine Ben Amar 1

1 Laboratoire de physique statistique, École normale supérieure, 24, rue Lhomond, 75231 Paris cedex 05, France
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Martine Ben Amar. The Bjerknes instability during crystal nucleation by acoustic waves. Comptes Rendus. Mécanique, Volume 332 (2004) no. 5-6, pp. 361-365. doi : 10.1016/j.crme.2004.02.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.02.002/

[1] X. Chavanne; S. Balibar; F. Caupin Acoustic crystallization and heterogeneous nucleation, Phys. Rev. Lett., Volume 84 (2003), pp. 5506-5509

[2] M. Ben Amar; M.P. Brenner; J.R. Rice Cristallisation par onde acoustique : le cas de l'hélium, C. R. Mécanique, Volume 331 (2003), pp. 601-607

[3] M.P. Brenner; S. Higenfeldt; D. Lohse Single-bubble sonoluminescence, Rev. Mod. Phys., Volume 74 (2002), pp. 425-484

[4] L.M. Truskinovsky Dynamics of non-equilibrium phase boundaries in a heat conducting non-linearly elastic medium, J. Appl. Math. Mech., Volume 51 (1987), pp. 777-784

[5] R. Abeyaratne; J.K. Knowles On the driving traction acting on a surface of strain discontinuity in a continuum, J. Mech. Phys. Solids, Volume 38 (1990), pp. 345-360

[6] J. Langer Instabilities and pattern formation in crystal growth, Rev. Mod. Phys., Volume 52 (1980), pp. 1-28

[7] Y. Pomeau; M. Ben Amar Dendritic growth and related topics (C. Godrèche; A. Saclay, eds.), Solids far from Equilibrium, 1992, pp. 365-429

[8] E. Rolley; C. Guthmann; E. Chevalier; S. Balibar The static and dynamic properties of vicinal surfaces on Helium 4 crystals, J. Low Temp. Phys., Volume 99 (1995), pp. 851-886

[9] M. Ben Amar, M.P. Brenner, J.R. Rice, École normale superieure, preprint, 2003

[10] A.A. Doinikov Translational motion of a spherical bubble in an acoustic standing wave of high intensity, Phys. Fluids, Volume 14 (2002), pp. 1420-1425

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