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On the Question of Hydrodynamic Instability of Nematics in a Magnetic Field. III: Accounting for the Inertial Term in the Equation of Motion in the Model of Magnetohydrodynamic Domain for Splay Distortion

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Abstract

A magnetohydrodynamic domain model describing the motion of a nematic liquid with positive anisotropy of diamagnetic susceptibility in the splay distortion geometry is considered. The inertial term is taken into account in the equation of motion of a nematic model. This approach makes it possible to introduce dimensionless parameters into the model: ratios of Eriksen numbers to Reynolds numbers. The introduction of such parameters allows one to experimentally assess the relative role of elastic and viscous forces in nematics of different nature.

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Funding

This study was supported by the Ministry of Science and Higher Education of the Russian Federation (contract no. 075-03-2023-642).

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Authors and Affiliations

  1. Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences, 119991, Moscow, Russia

    A. V. Golovanov

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  1. A. V. Golovanov
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Correspondence to A. V. Golovanov.

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The author declares that he has no conflicts of interest.

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Translated by Yu. Sin’kov

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Golovanov, A.V. On the Question of Hydrodynamic Instability of Nematics in a Magnetic Field. III: Accounting for the Inertial Term in the Equation of Motion in the Model of Magnetohydrodynamic Domain for Splay Distortion. Crystallogr. Rep. 68, 600–606 (2023). https://doi.org/10.1134/S106377452370027X

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  • DOI: https://doi.org/10.1134/S106377452370027X

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