Abstract | ||
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We compare fully-resolved, 3D lattice Boltzmann (LB) simulations of a three sphere microswimmer to analytical calculations, and show thereby that (i) LB simulations reproduce the motion very well in the Stokes regime, and (ii) the swimmer exits this regime at Reynolds numbers $Re sim 10^{-2}$, significantly lower than previously realised. Below this $Re$ value Stokesian theory describes the motion accurately, but fails above it due to inertial effects. In the latter case, the swimmeru0027s relaxation matches that of an underdamped harmonic oscillator, and this specifies its effective hydrodynamic radius in a narrow $Re$ range, as we show by calculating the radius analytically. The method can be used to determine the limit of the Stokes regime and the effective radius for a general mechanical microswimmer. |
Year | Venue | Field |
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2016 | arXiv: Soft Condensed Matter | Inertial frame of reference,Hydrodynamic radius,Reynolds number,Lattice Boltzmann methods,Stokes radius,Mechanics,Effective radius,Classical mechanics,Harmonic oscillator,Physics |
DocType | Volume | Citations |
Journal | abs/1603.04633 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Kristina Pickl | 1 | 3 | 1.12 |
Jayant Pande | 2 | 2 | 0.75 |
Harald Köstler | 3 | 197 | 25.94 |
Ana-Suncana Smith | 4 | 3 | 1.46 |
Ulrich Rüde | 5 | 505 | 72.00 |