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- W2326024919 abstract "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, $ensuremath{alpha}$ as a parameter characterizing the aspect ratio, and $ensuremath{gamma}$ as the shear rate, the object starts to align with the flow when the value of $D/(ensuremath{gamma}ensuremath{alpha})$ decreases near 1. At large $ensuremath{alpha}$ (the long object limit), the results suggest much lower flow alignment when $D/(ensuremath{gamma}ensuremath{alpha})>1$." @default.
- W2326024919 created "2016-06-24" @default.
- W2326024919 creator A5000865530 @default.
- W2326024919 date "2013-12-04" @default.
- W2326024919 modified "2023-10-14" @default.
- W2326024919 title "Dynamics of finite-symmetry and general-shaped objects under shear and shear alignment of uniaxial objects at finite temperatures" @default.
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- W2326024919 doi "https://doi.org/10.1103/physreve.88.063006" @default.
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