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

A. V. Golovanov; Голованов А. В.

doi:10.31857/S0023476122600434

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

Authors: Golovanov A.V.¹
Affiliations:
1. Nesmeyanov Institute of Organoelement Compounds, Russian Academy of Sciences, Moscow, 119991 Russia
Issue: Vol 68, No 4 (2023)
Pages: 600-606
Section: ЖИДКИЕ КРИСТАЛЛЫ
URL: https://rjdentistry.com/0023-4761/article/view/673407
DOI: https://doi.org/10.31857/S0023476122600434
EDN: https://elibrary.ru/JNPKXI
ID: 673407

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract
About the authors
References
Supplementary files
Statistics

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.

Keywords

NEMATIC LIQUID CRYSTALS, HYDRODYNAMIC INSTABILITY, MAGNETIC FIELD

About the authors

A. V. Golovanov

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

Author for correspondence.
Email: redcryst@crys.ras.ru
Россия, Москва

References

Пикин С.А. Структурные превращения в жидких кристаллах. М.: Наука, 1981. 336 с.
Guyon E., Meyer R., Salan J. // Mol. Cryst. Liq. Cryst. 1979. V. 54. P. 261.
Hurd A.J., Fraden S., Lonberg F., Meyer R.B. // J. Phys. France. 1985. V. 46. № 6. P. 905.
Kaznacheev A.V. // Mol. Mater. 1993. V. 2. P. 283.
Leslie F.M. // Theory of Phenomena in Liquid Crystals. Advances in Liquid Crystals. V. 4. New York: Acad. Press, 1979. P. 1.
Калугин А.Г. // Жидкие кристаллы и их практическое использование. 2013. Вып. 1. С. 49.
Голованов А.В. // Кристаллография. 2020. Т. 65. № 1. С. 111. https://doi.org/10.31857/S0023476120010087
Берже П., Помо И., Видаль К. Порядок в хаосе. О детерминистическом подходе к турбулентности. М.: Мир, 1991. 368 с.
Блинов Л.М. Электро- и магнитооптика жидких кристаллов. М.: Наука, 1978. 384 с.
Голованов А. В. // Кристаллография. 2014. Т. 59. № 1. С. 116. https://doi.org/10.7868/S0023476114010056