dorsal/arxiv
View SchemaRetarded Many-Sphere Hydrodynamic Interactions in a Viscous Fluid
| Authors | P. P. J. M. Schram, A. S. Usenko, I. P. Yakimenko |
|---|---|
| Categories | |
| ArXiv ID | physics/0408093 |
| URL | https://arxiv.org/abs/physics/0408093 |
Abstract
An alternative method is suggested for the description of the velocity and pressure fields in an unbounded incompressible viscous fluid induced by an arbitrary number of spheres moving and rotating in it. Within the framework of this approach, we obtain the general relations for forces and torques exerted by the fluid on the spheres. The behavior of the translational, rotational, and coupled friction and mobility tensors in various frequency domains are analyzed up to the terms of the third order in the dimensionless parameter equal to the ratio of a typical radius of a sphere to the penetration depth of transverse waves and a certain power of the dimensionless parameter equal to the ratio of a typical radius of a sphere to the distance between the centers of two spheres. We establish that the retardation effects can essentially affect the character of the hydrodynamic interactions between the spheres.
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"abstract": "An alternative method is suggested for the description of the velocity and\npressure fields in an unbounded incompressible viscous fluid induced by an\narbitrary number of spheres moving and rotating in it. Within the framework of\nthis approach, we obtain the general relations for forces and torques exerted\nby the fluid on the spheres. The behavior of the translational, rotational, and\ncoupled friction and mobility tensors in various frequency domains are analyzed\nup to the terms of the third order in the dimensionless parameter equal to the\nratio of a typical radius of a sphere to the penetration depth of transverse\nwaves and a certain power of the dimensionless parameter equal to the ratio of\na typical radius of a sphere to the distance between the centers of two\nspheres. We establish that the retardation effects can essentially affect the\ncharacter of the hydrodynamic interactions between the spheres.",
"arxiv_id": "physics/0408093",
"authors": [
"P. P. J. M. Schram",
"A. S. Usenko",
"I. P. Yakimenko"
],
"categories": [
"physics.flu-dyn"
],
"title": "Retarded Many-Sphere Hydrodynamic Interactions in a Viscous Fluid",
"url": "https://arxiv.org/abs/physics/0408093"
},
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