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Elements of Hydrodynamics

  • Lev M. Blinov
Chapter

Abstract

We shall discuss here the macroscopic dynamics of liquid crystals that is an area of hydrodynamics or macroscopic properties related to elasticity and viscosity. With respect to the molecular dynamics, which deals, for example, with NMR, molecular diffusion or dipolar relaxation of molecules, the area of hydrodynamics is a long scale, both in space and time. The molecular dynamics deals with distances of about molecular size, a ≈ 10 Å, i.e., with wavevectors about 107 cm−1, however, in the vicinity of phase transitions, due to critical behaviour, characteristic lengths of short-range correlations can be one or two orders of magnitude larger. Therefore, as a limit of the hydrodynamic approach we may safely take the range of wavevectors q ≪ 106 cm−1 and corresponding frequencies ω ≪ c s q ≈ 105⋅ 106 = 1011s−1 (c s is sound velocity).

Keywords

Shear Rate Liquid Crystal Nematic Liquid Crystal Viscosity Coefficient Poiseuille Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.Russian Academy of Sciences Inst. CrystallographyMoscowRussia

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