Trading particle shape with fluid symmetry: on the mobility matrix in 3-D chiral fluids

IF 3.6 2区 工程技术 Q1 MECHANICS Journal of Fluid Mechanics Pub Date : 2024-08-27 DOI:10.1017/jfm.2024.535
Tali Khain, Michel Fruchart, Colin Scheibner, Thomas A. Witten, Vincenzo Vitelli
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Abstract

Chiral fluids – such as fluids under rotation or a magnetic field as well as synthetic and biological active fluids – flow in a different way than ordinary ones. Due to symmetries broken at the microscopic level, chiral fluids may have asymmetric stress and viscosity tensors, for example giving rise to a hydrostatic torque or non-dissipative (odd) and parity-violating viscosities. In this article, we investigate the motion of rigid bodies in such an anisotropic fluid in the incompressible Stokes regime through the mobility matrix, which encodes the response of a solid body to forces and torques. We demonstrate how the form of the mobility matrix, which is usually determined by particle geometry, can be analogously controlled by the symmetries of the fluid. By computing the mobility matrix for simple shapes in a three-dimensional (3-D) anisotropic chiral fluid, we predict counterintuitive phenomena such as motion at an angle to the direction of applied forces and spinning under the force of gravity.
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粒子形状与流体对称性的交易:三维手性流体中的流动矩阵
手性流体(如旋转或磁场下的流体以及合成和生物活性流体)的流动方式与普通流体不同。由于对称性在微观层面被破坏,手性流体可能具有不对称的应力和粘度张量,例如产生流体静力学力矩或非耗散(奇数)和违反奇偶性的粘度。在本文中,我们通过流动性矩阵研究了不可压缩斯托克斯体系中各向异性流体中的刚体运动,流动性矩阵编码了实体对力和扭矩的响应。我们演示了通常由粒子几何形状决定的流动性矩阵的形式如何类似地受流体对称性的控制。通过计算三维(3-D)各向异性手性流体中简单形状的流动性矩阵,我们预测了一些反直觉现象,如与外力方向成一定角度的运动以及在重力作用下的旋转。
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来源期刊
CiteScore
6.50
自引率
27.00%
发文量
945
审稿时长
5.1 months
期刊介绍: Journal of Fluid Mechanics is the leading international journal in the field and is essential reading for all those concerned with developments in fluid mechanics. It publishes authoritative articles covering theoretical, computational and experimental investigations of all aspects of the mechanics of fluids. Each issue contains papers on both the fundamental aspects of fluid mechanics, and their applications to other fields such as aeronautics, astrophysics, biology, chemical and mechanical engineering, hydraulics, meteorology, oceanography, geology, acoustics and combustion.
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