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Waves on the interface between a nematic liquid crystal and an ideal isotropic fluid

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Abstract

The problem of surface wave propagation over the interface between a nematic liquid crystal and an ideal isotropic fluid is considered. For the nematic liquid crystal the Frank-Oseen model with an isotropic viscous stress tensor is used. Anisotropic surface tension is described by the Rapini model. In this formulation, for the problem of harmonic small-amplitude surface wave propagation, in the case of infinite depths of both phases, an analytical solution is obtained. The dispersion relation is derived and its properties are investigated.

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Original Russian Text © A. G. Kalugin, 2011, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2011, Vol. 46, No. 6, pp. 130–134.

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Kalugin, A.G. Waves on the interface between a nematic liquid crystal and an ideal isotropic fluid. Fluid Dyn 46, 953–957 (2011). https://doi.org/10.1134/S0015462811060123

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