Dynamics of finite-symmetry and general-shaped objects under shear and shear alignment of uniaxial objects at finite temperatures

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題名:	Dynamics of finite-symmetry and general-shaped objects under shear and shear alignment of uniaxial objects at finite temperatures
作者:	陳培亮;Chen, Peilong
貢獻者:	理學院物理學系
日期:	2013-12-04
上傳時間:	2026-04-23 11:52:07 (UTC+8)
出版者:	American Physical Society;United States
摘要:	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
顯示於類別:	[物理學系] 期刊論文

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