Abstract
Viscous fingering experiments carried out with air-liquid crystal systems are reviewed. The specific features of the anisotropy (its intrinsic character, in contrary to the solidification experiment or to engraving a lattice onto the plates of the Hele-Shaw cell) is discussed. Typically a reentrant morphological behavior of tip splitting and dendritic growth was found in the experiments as a function of the driving force and temperature. No effect of the initial director alignment on the pattern morphology was found in the nematic phase, instead the flow alignment proved to be decisive. Contrary in smectic phases the initial director orientation strongly influences the pattern shape.
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References
D. A. Kessler, J. Koplik, and H. Levine, Advances in Physics, 37, 255 (1988).
A. A. Sonin, Rivista del Nuovo Cimento, 14, 1 (1991).
K. V. McCloud and J. V. Maher, Physics Reports, 260, 139 (1995).
P. G. Saffman and G. I. Taylor, Proc. Roy. Soc. London, Ser. A 245, 312 (1958).
E. Ben-Jacob, G. Deutscher, P. Garik, N. D. Goldenfeld, and Y. Lareah, Phys. Rev. Lett. 57, 1903 (1986).
C. W. Park and G. M. Homsy, J. Fluid Mech. 139, 291 (1984).
A. Buka and P. Palffy-Muhoray, Phys. Rev. A 36, 1527 (1987).
R. L. Chuoke, P. van Meurs, and C. van der Poel, Petrol Trans. AIME 216, 188 (1959).
E. Ben-Jacob, Contemporary Physics, 34, 247 (1993).
L. Paterson, Phys. Fluids, 28, 26 (1985).
L. Paterson, J. Fluid Mech. 113, 513 (1981).
Lui Lam, in Wave Phenomena, edited by L. Lam and H. C. Morris, Springer, NY (1989).
L. Lam, H. C. Morris, R. F. Shao, S. L. Yang, Z. C. Liang, S. Zheng, and H. Liu, Liquid Crystals, 5, 1813 (1989).
S. L. Yang, Z. C. Liang, R. F. Shao, and L. Lam, in Wave Phenomena, edited by L. Lam and H. C. Morris, Springer, NY (1989).
S. N. Rauseo, P. D. Barnes, and J. V. Maher, Phys. Rev. A. 35, 1245 (1987).
J. Jasnow and C. Yeung, Phys. Rev. E. 47, 1087 (1993).
E. Ben-Jacob, R. Godbey, N. D. Goldenfeld, J. Koplik, H. Levine, T. Mueller, and L. M. Sander, Phys. Rev. Lett. 55, 1315 (1985).
M. Matsushita and H. Yamada, J. Crystal Growth, 99, 161 (1990).
V. Horvath, T. Vicsek, and J. Kertesz, Phys. Rev. A. 35, 2353 (1987).
J. D. Chen, Exp. in Fluids, 5, 363 (1987).
J. D. Chen and D. Wilkinson, Phys. Rev. Lett. 55, 1892 (1985).
A. Buka, J. Kertesz, and T. Vicsek, Nature 323, 424 (1986).
A. Buka, P. Palffy-Muhoray, and Z. Racz, Phys. Rev. A 36, 3984 (1987).
A. Buka and P. Palffy-Muhoray, J. de Phys. France, 49, 1319 (1988).
A. Buka, Physica Scripta, T25, 114 (1989).
A. Jakli and P. Palffy-Muhoray, Mol. Cryst. Liq. Cryst. 206, 37 (1991).
A. A. Sonin and R. Bartolino, Il Nuovo Cimento, 15 D, 1 (1993).
W. Helfrich, Phys. Rev. Lett. 23, 372 (1969).
V. K. Horvath, J. Kertesz, and T. Vicsek, Europhysics Lett., 4, 1133 (1987).
L. M. Blinov, D. Z. Radzhabov, A. A. Sonin, and S. S. Yakovenko, Pisma Zh. Tekn. Fiz. 16, 36 (1990).
Y. Couder, O. Cardoso, D. Dupuy, P. Tavernier, and W. Thorn, Europhys. Lett. 2(6), 437 (1986)
I. Zuniga and F. M. Leslie, J. Non-Newtonian Fluid Mech. 33, 123 (1989).
J. T. Gleeson, P. Palffy-Muhoray, and W. van Saarloos, Phys. Rev. A. 44, 2588 (1991).
K. Hiltrop and F. Fischer, Z. Naturforsch. 31a, 800 (1976).
R.-F. Shao, Z. Shu, L. Zhong-Cheng, S. Chang-Quing, and L. Lei, Mol. Cryst. Liq. Cryst. 144, 345 (1987).
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Buka, A. (1996). Viscous Fingering. In: Buka, A., Kramer, L. (eds) Pattern Formation in Liquid Crystals. Partially Ordered Systems. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3994-9_8
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DOI: https://doi.org/10.1007/978-1-4612-3994-9_8
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