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    Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/104542


    Title: Dynamics of finite-symmetry and general-shaped objects under shear and shear alignment of uniaxial objects at finite temperatures
    Authors: 陳培亮;Chen, Peilong
    Contributors: 理學院物理學系
    Date: 2013-12-04
    Issue Date: 2026-04-23 11:52:07 (UTC+8)
    Publisher: American Physical Society;United States
    Abstract: 摘要: We prove that, for an object with a finitefold rotational symmetry (except for a twofold one) around an axis and mirror symmetries (such as a square rod or pentagonal slab, etc.), dynamics of the symmetry axis in low Reynolds number shear flow exactly follows the same form as that of a uniaxial object (e.g., a circular rod or symmetric ellipsoid) as the so-called Jeffery orbits. We use the formulation in which the dynamics of the rigid body follows first-order ordinary differential equations in time [Phys. Rev. E 84, 056309 (2011)]. Interaction between the object and the shear flow enters through a set of scalar coefficients, and the flow field does not need to be solved dynamically. Results of numerical simulations for general-shaped objects also are discussed. In the second part, Brownian dynamics of a uniaxial object is studied numerically. With D as the rotational diffusion constant, α as a parameter characterizing the aspect ratio, and γ as the shear rate, the object starts to align with the flow when the value of D/(γα) decreases near 1. At large α (the long object limit), the results suggest much lower flow alignment when D/(γα)>1.
    其他題名: Phys Rev E Stat Nonlin Soft Matter Phys
    出版者: United States
    出版日期: 2013-12
    出處: Physical review. E, Statistical, nonlinear, and soft matter physics, 2013-12, Vol.88 (6), p.063006, Article 063006
    識別號: ISSN: 1539-3755
    識別號: ISSN: 1550-2376
    識別號: EISSN: 1550-2376
    識別號: DOI: 10.1103/PhysRevE.88.063006
    識別號: PMID: 24483556
    Appears in Collections:[Department of Physics] journal & Dissertation

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