Optimal Dynamics of a Spherical Squirmer in Eulerian Description
Abstract
The problem of optimization of a cycle of tangential deformations of the surface of a spherical object (micro-squirmer) self-propelling in a viscous fluid at low Reynolds numbers is represented in a noncanonical Hamiltonian form. The evolution system of equations for the coefficients of expansion of the surface velocity in the associated Legendre polynomials
- Publication:
-
Soviet Journal of Experimental and Theoretical Physics Letters
- Pub Date:
- April 2019
- DOI:
- 10.1134/S0021364019080101
- arXiv:
- arXiv:1905.11002
- Bibcode:
- 2019JETPL.109..512R
- Keywords:
-
- Physics - Fluid Dynamics;
- Condensed Matter - Soft Condensed Matter
- E-Print:
- 3.5 pages, 2 figures, to appear in JETP Letters