Optimal Dynamics of a Spherical Squirmer in Eulerian Description

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...

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Bibliographic Details
Published in:JETP letters 2019-04, Vol.109 (8), p.512-515
Main Author: Ruban, V. P.
Format: Article
Language:English
Subjects:
Atomic
Biological and Medical Physics
Biophysics
Deformation
Hydro- and Gas Dynamics
Molecular
Optical and Plasma Physics
Optimization
Particle and Nuclear Physics
Physics
Physics and Astronomy
Plasma
Polynomials
Quantum Information Technology
Solid State Physics
Spintronics
Thermal expansion
Viscous fluids
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Description
Summary: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 P n 1 ( c o s θ ) is obtained. The system is quadratically nonlinear, but it is integrable in the three-mode approximation. This allows a theoretical interpretation of numerical results previously obtained for this problem.
ISSN:0021-3640
1090-6487
DOI:10.1134/S0021364019080101