Nematic viscosity estimation using director kickback dynamics

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The coupling between director rotation and bulk flow of a liquid crystal can cause many interesting, and often unwanted, effects. The associated 'backflow' and director 'kickback' have been observed and modelled over a number of years and have been used in the determination of nematic elastic constants and viscosities, usually through complicated fitting procedures. In this paper we develop a simple model of the flow and director dynamics during switch-off in a standard Freedericksz cell which, together with the classical switch-on dynamics, can be used to develop a relatively accurate, computationally inexpensive, two-mode fitting procedure capable of estimating splay and bend elastic constants, cell thickness and two combinations of the nematic viscosities. We do this by using an eigenfunction expansion for the director dynamics equation together with an analytical expression for the coefficients of the relaxing modes. This allows a simple estimation for the maximum director angle during kickback and the time after which the director has recovered to its initial state, which are comparable with a full numerical simulation, and leads to confidence in the accuracy of a two-mode eigenfunction expansion.
LanguageEnglish
Pages981-987
Number of pages7
JournalLiquid Crystals
Volume38
DOIs
Publication statusPublished - 2011

Fingerprint

Elastic constants
Viscosity
viscosity
Eigenvalues and eigenfunctions
Switches
Liquid Crystals
Liquid crystals
eigenvectors
switches
elastic properties
Cells
expansion
Computer simulation
confidence
estimating
liquid crystals
causes
coefficients
cells
simulation

Keywords

  • nematic viscosity
  • viscosities
  • kickback
  • backflow

Cite this

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title = "Nematic viscosity estimation using director kickback dynamics",
abstract = "The coupling between director rotation and bulk flow of a liquid crystal can cause many interesting, and often unwanted, effects. The associated 'backflow' and director 'kickback' have been observed and modelled over a number of years and have been used in the determination of nematic elastic constants and viscosities, usually through complicated fitting procedures. In this paper we develop a simple model of the flow and director dynamics during switch-off in a standard Freedericksz cell which, together with the classical switch-on dynamics, can be used to develop a relatively accurate, computationally inexpensive, two-mode fitting procedure capable of estimating splay and bend elastic constants, cell thickness and two combinations of the nematic viscosities. We do this by using an eigenfunction expansion for the director dynamics equation together with an analytical expression for the coefficients of the relaxing modes. This allows a simple estimation for the maximum director angle during kickback and the time after which the director has recovered to its initial state, which are comparable with a full numerical simulation, and leads to confidence in the accuracy of a two-mode eigenfunction expansion.",
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Nematic viscosity estimation using director kickback dynamics. / Grinfeld, Michael; Langer, Matthias; Mottram, Nigel.

In: Liquid Crystals, Vol. 38, 2011, p. 981-987.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Nematic viscosity estimation using director kickback dynamics

AU - Grinfeld, Michael

AU - Langer, Matthias

AU - Mottram, Nigel

PY - 2011

Y1 - 2011

N2 - The coupling between director rotation and bulk flow of a liquid crystal can cause many interesting, and often unwanted, effects. The associated 'backflow' and director 'kickback' have been observed and modelled over a number of years and have been used in the determination of nematic elastic constants and viscosities, usually through complicated fitting procedures. In this paper we develop a simple model of the flow and director dynamics during switch-off in a standard Freedericksz cell which, together with the classical switch-on dynamics, can be used to develop a relatively accurate, computationally inexpensive, two-mode fitting procedure capable of estimating splay and bend elastic constants, cell thickness and two combinations of the nematic viscosities. We do this by using an eigenfunction expansion for the director dynamics equation together with an analytical expression for the coefficients of the relaxing modes. This allows a simple estimation for the maximum director angle during kickback and the time after which the director has recovered to its initial state, which are comparable with a full numerical simulation, and leads to confidence in the accuracy of a two-mode eigenfunction expansion.

AB - The coupling between director rotation and bulk flow of a liquid crystal can cause many interesting, and often unwanted, effects. The associated 'backflow' and director 'kickback' have been observed and modelled over a number of years and have been used in the determination of nematic elastic constants and viscosities, usually through complicated fitting procedures. In this paper we develop a simple model of the flow and director dynamics during switch-off in a standard Freedericksz cell which, together with the classical switch-on dynamics, can be used to develop a relatively accurate, computationally inexpensive, two-mode fitting procedure capable of estimating splay and bend elastic constants, cell thickness and two combinations of the nematic viscosities. We do this by using an eigenfunction expansion for the director dynamics equation together with an analytical expression for the coefficients of the relaxing modes. This allows a simple estimation for the maximum director angle during kickback and the time after which the director has recovered to its initial state, which are comparable with a full numerical simulation, and leads to confidence in the accuracy of a two-mode eigenfunction expansion.

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