Berlin 2018 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 67: Poster: Active Matter, Microswimmers
DY 67.14: Poster
Donnerstag, 15. März 2018, 15:30–18:00, Poster A
Micro-Swimming with Inertia in Bulk and on Interfaces — •Oleg Trosman1, Jayant Pande1, Alexander Sukhov2, Maxime Hubert3, Galien Grosjean3, Nicolas Vandewalle3, Jens Harting2, and Ana Sunčana Smith1 — 1PULS Group, Department of Physics and Cluster of Excellence: EAM, FAU Erlangen-Nürnberg — 2HI ERN - Helmholtz-Institut Erlangen-Nürnberg — 3GRASP, Université de Liège, Belgium
Most theoretical research in the field of micro-swimming from the past few decades addressed the domain of negligible Reynolds number Re, ignoring inertia. For an intermediate range of Re, however, before turbulences arise, the inertial effects become important. In this work we conduct a theoretical study of how this regime emerges, extending the swimmer model by Golestanian and Najafi by inclusion of the beads’ masses. After combining the Oseen-Stokes equations for the coupled motion of distant spheres in a fluid with Newton’s force-mass relations we obtain a closed-form expression for the velocity of the swimmer with an explicit inertia dependence. This velocity expression compares considerably better to results obtained from lattice-Boltzmann simulations, for intermediately high bead masses or driving forces, than the inertia-free model of Golestanian and Najafi. Furthermore we perform an additional study on the Stokes law alteration for spheres being dragged along a contact surface of two different fluids using lattice-Boltzmann simulations in order to compare our model with with data obtained from an experimental realisation of the Golestanian-Najafi swimmer on fluid-air interface.