Dynamics of viscous fingers in Hele-Shaw cells of liquid crystals Theory and experiment
| Autor: | H. Liu, R. F. Shao, S. L. Yang, Z. C. Liang, Lui Lam, Hedley C. Morris, S. Zheng |
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| Rok vydání: | 1989 |
| Předmět: |
Materials science
Isotropy Dynamics (mechanics) Equations of motion General Chemistry Condensed Matter Physics Condensed Matter::Soft Condensed Matter Physics::Fluid Dynamics Viscous fingering Surface tension Classical mechanics Liquid crystal General Materials Science Linear approximation Anisotropy Nonlinear Sciences::Pattern Formation and Solitons |
| Zdroj: | Liquid Crystals. 5:1813-1826 |
| ISSN: | 1366-5855 0267-8292 |
| DOI: | 10.1080/02678298908045690 |
| Popis: | The theoretical and experimental developments in the interfacial dynamics and the formation of viscous fingering patterns in Hele-Shaw cells of liquid crystal-air systems are summarized and discussed. These include radial and linear cells with or without grooves engraved on the cell plates. Instabilities of fingers, the role of intrinsic and extrinsic anisotropies, etc., are emphasized. In a linear cell, when the injected air is kept at constant pressure, a whole sequence of successive instabilities of fingers (hump, tip-splitting, sidewrinkling, sidebranching and DLA-like structure) is observed in a single run of the experiment. In our theory, the equations of motion of nematic flows in Hele-Shaw cells are derived from the Ericksen-Leslie equations. In the linear approximation, the equations resemble those of isotropic liquids with the presence of effective viscosities and anisotropic surface tension. Experimental observations are interpreted with the introduction of an effective control paramet... |
| Databáze: | OpenAIRE |
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