Geometric pumping induced by shear flow in dilute liquid crystalline polymer solutions

Shunsuke Yabunaka, Hisao Hayakawa

Research output: Contribution to journalArticle

Abstract

We investigate nonlinear rheology of dilute liquid crystalline polymer solutions under time dependent two-directional shear flow. We analyze the Smoluchowski equation, which describes the dynamics of the orientation of a liquid crystalline polymer, by employing technique of the full counting statistics. In the adiabatic limit, we derive the expression for time integrated currents generated by a Berry-like curvature. Using this expression, it is shown that the expectation values of the time-integrated angular velocity of a liquid crystalline polymer and the time-integrated stress tensor are generally not zero even if the time average of the shear rate is zero. The validity of the theoretical calculations is confirmed by direct numerical simulations of the Smoluchowski equation. Nonadiabatic effects are also investigated by means of simulations and it is found that the time-integrated stress tensor depends on the speed of the modulation of the shear rate if we adopt the isotropic distribution as an initial state.

Original languageEnglish
Article number054903
JournalJournal of Chemical Physics
Volume142
Issue number5
DOIs
Publication statusPublished - Feb 7 2015

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Liquid crystal polymers
Shear flow
Polymer solutions
shear flow
pumping
Shear deformation
Tensors
polymers
liquids
Direct numerical simulation
stress tensors
Angular velocity
Rheology
Modulation
Statistics
shear
angular velocity
direct numerical simulation
rheology
counting

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

Cite this

Geometric pumping induced by shear flow in dilute liquid crystalline polymer solutions. / Yabunaka, Shunsuke; Hayakawa, Hisao.

In: Journal of Chemical Physics, Vol. 142, No. 5, 054903, 07.02.2015.

Research output: Contribution to journalArticle

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