Evolution of convective patterns in a binary-mixture layer subjected to a periodical change of the gravity field

Physics of Fluids

Volumn 20, Issue 9, 2008, Pages

  Smorodin, B L ^a   Myznikova, B I ^b   Legros, J C ^c  

^a PERM STATE UNIVERSITY   (Russian Federation)

^b INSTITUTE OF CONTINUOUS MEDIA MECHANICS   (Russian Federation)

^c UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

BINARY MIXTURES; HEAT TRANSFER; STABILITY;

CONCENTRATION FIELDS; CONVECTIVE STABILITY; CRITICAL PARAMETER VALUES; HYSTERETIC TRANSITION; LINEAR APPROXIMATIONS; LINEAR STABILITY THEORY; NUMERICAL EXAMINATION; QUASIPERIODIC DYNAMICS;

PERTURBATION TECHNIQUES;

EID: 53549129516     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2978065     Document Type: Article

References (17)

1. R. W. Walden, P. Kolodner, A. Passner, and C. M. Surko, "Traveling waves and chaos in convection in binary fluid mixtures," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.55.496 55, 496 (1985).
2. R. Cerbino, A. Vailati, and M. Giglio, "Soret driven convection in a colloidal solution heated from above at very large solutal Rayleigh number," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.66.055301 66, 055301 (2002).
3. O. Batiste, M. Net, I. Mercader, and E. Knobloch, "Oscillatory binary fluid convection in large aspect-ratio containers," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.86.2309 86, 2309 (2001).
4. P. Matura, D. Jung, and M. Lücke, "Standing wave oscillations in binary mixture convection: From onset via symmetry breaking to period doubling into chaos," Phys. Rev. Lett. PRLTAO0031-900710.1103/ PhysRevLett.92.254501 92, 254501 (2004).
5. M. I. Shliomis and B. L. Smorodin, "Onset of convection in colloids stratified by gravity," Phys. Rev. E PLEEE81063-651X10.1103/ PhysRevE.71.036312 71, 036312 (2005).
6. G. Z. Gershuni, A. K. Kolesnikov, J.-C. Legros, and B. I. Myznikova, "On the convective instability of a horizontal binary-mixture layer with Soret effect under transversal high frequency vibration," Int. J. Heat Mass Transfer IJHMAK0017-931010.1016/S0017-9310(98)00154-9 42, 547 (1999).
7. W. Barten, M. Lücke, W. Hort, and M. Kamps, "Fully developed traveling wave convection in binary fluid mixtures," Phys. Rev. Lett. PRLTAO0031-900710.1103/PhysRevLett.63.376 63, 376 (1989).
8. V. M. Shevtsova, D. E. Melnikov, and J. C. Legros, "Onset of convection in Soret driven instability," Phys. Rev. E PLEEE81063-651X10.1103/PhysRevE.73.047302 73, 047302 (2006).
9. J. K. Platten and J. C. Legros, Convection in Liquids (Springer, Berlin, 1984).
10. G. Z. Gershuni and D. V. Lyubimov, Thermal Vibrational Convection (Wiley, Chichester, 1998).
11. E. A. Coddington and N. Levinson, Theory of Ordinary Differential Equations (McGraw-Hill, New York, 1955).
12. B. L. Smorodin, B. I. Myznikova, and I. O. Keller, Lecture Notes in Physics (Springer, Berlin, 2002), Vol. 584, p. 372.
13. G. Z. Gershuni and E. M. Zhukhovitsky, Convective Stability of Incompressible Fluids (Keter, Jerusalem, 1976).
14. G. Z. Gershuni, A. K. Kolesnikov, J.-C. Legros, and B. I. Myznikova, "On the vibrational convective instability of a horizontal, binary-mixture layer with Soret effect," J. Fluid Mech. JFLSA70022-112010.1017/S002211209600376X 330, 251 (1997).
15. M. I. Shliomis, B. L. Smorodin, and S. Kamiyama, "The onset of thermomagnetic convection in stratified ferrofluids," Philos. Mag. PMHABF1478-643510.1080/0141861031000107908 83, 2139 (2003).
16. V. M. Shevtsova, D. E. Melnikov, and J. C. Legros, "The study of stationary and oscillatory weak flows in space experiments," Microgravity Sci. Technol. MSTYEN0938-010810.1007/BF02870952 15, 49 (2004).
17. D. Jung, P. Matura, and M. Lücke, "Oscillatory convection in binary mixtures: Thermodiffusion, solutal buoyancy, and advection," Eur. Phys. J. E EPJSFH1292-894110.1140/epje/i2004-10069-1 15, 293 (2004).