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• W2083411497 abstract "ABSTRACT Within the framework of the Leslie–Ericksen theory we develop a unified model for the interpretation the complex shear stress response of tumbling nematics after flow start-up and flow reversal. The model accounts quantitatively for: (i) the damping of the oscillations, the vanishing of the doublet structure and eventually a pronounced decay after flow start-up, and (ii) the progressive reappearance of the oscillations after flow reversal (echo phenomenon). Within this model the loss of director coherence, induced partially by noise and partially by a distribution of velocity gradients, is a significant additional cause of damping. A primary cause (but not sufficient) is the director drift towards the vorticity axis as pointed out by other authors. On the other hand, the reappearance of the oscillation is related to reversibility dictated by the mechanical Leslie–Ericksen equations combined with the velocity gradient distribution. Keywords: flow reversalflow start-upliquid crystalsstress oscillationstransient response Acknowledgments This work was partly supported by the EU-FEDER and Fundação para a Ciência e a Tecnologia (Portugal) under research project POCTI/CTM/2329/01, and research grant SFRH/BPD/8894/2002 to A. Véron. Notes 1We use the following boundary conditions: v 1 = 0 at the bottom plate, v 1 = V at the top plate and v 3 = 0 on both plates. Moreover we use the fact that σ a and σ b are constant in space according to Eq. (Equation1) that is, they can be put outside the integral over space. 2It is wrong when the director is constrained to stay in the shear plane; in this case we retrieve the theoretical predictions of Burghardt and fuller [Citation11], but they disagree with experimental data in [Citation1-4 Citation6]." @default.
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• W2083411497 date "2005-06-01" @default.
• W2083411497 modified "2023-09-25" @default.
• W2083411497 title "Transient Shear Stress Response After Flow Start-up and Flow Reversal in Low Molecular Weight Nematic Liquid Crystals" @default.
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• W2083411497 doi "https://doi.org/10.1080/15421400590955226" @default.
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