Dynamics and statistics of hydrodynamically interacting particles in laminar flows [Elektronische Ressource] / von Jochen Bammert

Dynamics and statistics ofhydrodynamically interacting particlesin laminar owsVon der Universit at Bayreuthzur Erlangung des Grades einesDoktors der Naturwissenschaften (Dr. rer. nat.)genehmigte AbhandlungvonJochen Bammertgeboren in Illingen (Saar)1. Gutachter: Prof. Dr. W. Zimmermann2. Gutachter: Prof. Dr. C. MisbahTag der Einreichung: 20.12.2010Tag des Kolloquiums: 24.03.2011ContentsAbstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iiKurzdarstellung . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ivExtended Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1Publications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18Bibliography 85iAbstractThe subject of this thesis is the investigation of the dynamics and statistics ofhydrodynamically interacting particles in low Reynolds number ows, which isdiscussed in three interrelated themes.The rst theme focuses on polymer fractionation. With our basic model weexplore the possibility to sort dumbbells with respect to their size using a two-dimensional periodic potential. It turns out that the purely di usive behaviorof a dumbbell in this structured landscape is dominated by the ratio of twocharacteristic length scales, namely the wavelength of the potential and thesize of the dumbbellb [1]. We explain why the di usion constant in the potentialplane shows a pronounced local maximum around =b 3=2.