Dynamics of cruising swimming by a deformable sphere for two simple models
Fluid Dynamics
2019-12-18 v3
Abstract
The dynamics of periodic swimming is studied for two models of a deformable sphere, the dipole-quadrupole model and the quadrupole-octupole model. For the two models the solution of the Navier-Stokes equations can be found exactly to second order in the amplitude of stroke. Hence the oscillating force exerted by the fluid on the body is calculated. This allows calculation of the periodic time-dependent center of mass velocity.
Keywords
Cite
@article{arxiv.1810.02089,
title = {Dynamics of cruising swimming by a deformable sphere for two simple models},
author = {B. U. Felderhof and R. B. Jones},
journal= {arXiv preprint arXiv:1810.02089},
year = {2019}
}
Comments
16 pages, 4 figures