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Fizika Tverdogo Tela, 2017, Volume 59, Issue 7, Pages 1426–1431
DOI: https://doi.org/10.21883/FTT.2017.07.44610.445
(Mi ftt9537)
 

Liquid crystals

Hydrodynamic mechanism of temperature gradient formation in thin nematic films

A. V. Zakharov

Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg
Abstract: The temperature gradient formation mechanism in an initially uniformly heated hybrid-oriented liquid-crystal (HOLC) channel of microscopic sizes upon exposure to a steady hydrodynamic flow is theoretically studied within the nonlinear generalization of the Ericksen–Leslie theory, taking into account the heat conduction equation. The case of total thermal insulation of one of the HOLC channel is considered provided that a constant temperature is maintained on the other surface. It is shown that the temperature difference $\chi_{\operatorname{max}}(\zeta)$ in the HOLC channel section, caused by the horizontal steady flow with the “triangular” velocity profile $u(z, \zeta$) is significantly affected by the position $\zeta$ of the maximum velocity. It is shown that, in the case of the LC system formed by 4-$n$-pentyl-$n'$-cyanobiphenyl molecules, the hydrodynamic flow characterized by the peak position $\zeta$ = 0.98 of the velocity $u(z,\zeta$ = 0.98) $\sim$ 0.9 $\mu$m/s forms a maximum temperature difference $\chi_{\operatorname{max}}(\zeta)$ = 0.03 ($\sim$9 K) over the HOLC channel section.
Received: 19.12.2016
English version:
Physics of the Solid State, 2017, Volume 59, Issue 7, Pages 1454–1459
DOI: https://doi.org/10.1134/S1063783417070320
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Zakharov, “Hydrodynamic mechanism of temperature gradient formation in thin nematic films”, Fizika Tverdogo Tela, 59:7 (2017), 1426–1431; Phys. Solid State, 59:7 (2017), 1454–1459
Citation in format AMSBIB
\Bibitem{Zak17}
\by A.~V.~Zakharov
\paper Hydrodynamic mechanism of temperature gradient formation in thin nematic films
\jour Fizika Tverdogo Tela
\yr 2017
\vol 59
\issue 7
\pages 1426--1431
\mathnet{http://mi.mathnet.ru/ftt9537}
\crossref{https://doi.org/10.21883/FTT.2017.07.44610.445}
\elib{https://elibrary.ru/item.asp?id=29772448}
\transl
\jour Phys. Solid State
\yr 2017
\vol 59
\issue 7
\pages 1454--1459
\crossref{https://doi.org/10.1134/S1063783417070320}
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  • https://www.mathnet.ru/eng/ftt/v59/i7/p1426
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