Rayleigh instability in liquid-crystal jets

Journal of Experimental and Theoretical Physics

Volumn 98, Issue 5, 2004, Pages 960-973

  Fel, L G ^a   Zimmels, Y ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CAPILLARITY; ELASTIC MODULI; HYDRODYNAMICS; JETS; SURFACE TENSION;

CAPILLARY INSTABILITY; ORIENTATIONAL LC MODES; SURFACE CURVATURE; WAVENUMBER;

NEMATIC LIQUID CRYSTALS;

EID: 33748125506     PISSN: 10637761     EISSN: None     Source Type: Journal    
DOI: 10.1134/1.1767563     Document Type: Article

References (38)

1. Lord Rayleigh, Proc. London Math. Soc. 10, 4 (1879).
2. Lord Rayleigh, Philos. Mag. 34, 145 (1892);
3. 34, 177 (1892).
4. C. Weber, Z. Angew. Math. Mech. 11, 136 (1931).
5. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Instability (Oxford Univ. Press, Oxford, 1961).
6. G. I. Taylor, Proc. R. Soc. London, Ser. A 253, 289 (1959);
7. G. I. Taylor, Proc. R. Soc. London, Ser. A 253, 296 (1959);
8. G. I. Taylor, Proc. R. Soc. London, Ser. A 253, 313 (1959);
9. Proc. R. Soc. London, Ser. A 313, 453 (1969).
10. V. G. Levich, Physicochemical Hydrodynamics (Fizmatgiz, Moscow, 1959; Prentice-Hall, Englewood Cliffs, N.J., 1962).
11. A. L. Yarin, Free Liquid Jets and Films: Hydrodynamics and Rheology (Wiley, New York, 1993).
12. Y. Tomita, T. Shimbo, and Y. Ishibashi, J. Non-Newtonian Fluid Mech. 5, 497 (1979).
13. R. Bar-Ziv and E. Moses, Phys. Rev. Lett. 73, 1392 (1994).
14. K. L. Gurin, V. V. Lebedev, and A. R. Muratov, Zh. Éksp. Teor. Fiz. 110, 600 (1996)
15. [JETP 83, 321 (1996)].
16. W. Helfrich, Z. Naturforsch. B 103, 67 (1975).
17. E. I. Kats and V. V. Lebedev, Fluctuational Effects in the Dynamics of Liquid Crystals (Springer, New York, 1994).
18. J. L. Ericksen, Arch. Ration. Mech. Anal. 4, 231 (1960).
19. J. L. Ericksen, Phys. Fluids 9, 1205 (1966).
20. F. M. Leslie, Q. J. Mech. Appl. Math. 19, 357 (1966).
21. F. M. Leslie, Arch. Ration. Mech. Anal. 28, 265 (1968).
22. O. Parodi, J. Phys. (Paris) 31, 581 (1970).
23. D. Forster, T. C. Lubensky, P. C. Martin, et al., Phys. Rev. Lett. 26, 1016 (1971).
24. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Oxford Univ. Press, London, 1993; Mir, Moscow, 1982).
25. L. G. Fel and G. Lasiene, Acta Phys. Pol. A 70, 165 (1986).
26. A.-G. Cheong, A. D. Rey, and P. T. Mather, Phys. Rev. E 64, 41701 (2001).
27. G. E. Durand and E. G. Virga, Phys. Rev. E 59, 4137 (1999).
28. J. Cognard, Alignment of Nematic Liquid Crystals and Their Mixtures (Gordon and Breach, London, 1982).
29. A. Fergusson and S. J. Kennedy, Philos. Mag. 26, 41 (1938).
30. D. Langevin, J. Phys. (Paris) 33, 249 (1972).
31. S. Krishnaswamy and R. Shashidhar, in Proceedings of International Liquid Crystal Conference (Bangalore, 1973), Pramana Suppl., Vol. 1, p. 247.
32. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7: Theory of Elasticity, 4th ed. (Nauka, Moscow, 1987; Pergamon Press, Oxford, 1986).
33. A. Rapini and M. Papoular, J. Phys. Colloq. 30, C4-54 (1971).
34. J. Plateau, Statique Expérimentale et Théorique des Liquides Soumis aux Seules Forces Moléculaires (Gauthier-Villars, Paris, 1873).
35. W. H. de Jeu, Physical Properties of Liquid Crystalline Materials (Gordon and Breach, London, 1980).
36. L. G. Fel, Kristallografiya 34, 1222 (1989)
37. [Sov. Phys. Crystall. 34, 737 (1989)];
38. Mol. Cryst. Liq. Cryst. 206, 1 (1991).