x Table of contents
5 Numerical model 43
5.1 The Finite Element Method . . . . . . . . . . . . . . . . . . . . . . . . . . . 43
5.2 Implementation of equations in Comsol Multiphysics . . . . . . . . . . . . . 45
5.3 Spatial resolution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
5.4 Temporal resolution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
6 Streaming studies 51
6.1 Analytical streaming calculations . . . . . . . . . . . . . . . . . . . . . . . . 51
6.2 Numerical modeling of acoustic streaming . . . . . . . . . . . . . . . . . . . 53
6.3 Numerical modeling of acoustophoretic particle motion . . . . . . . . . . . . 54
6.4 Quantitative comparison of acoustophoretic particle motion . . . . . . . . . 55
6.5 Focusing of sub-micrometer particles . . . . . . . . . . . . . . . . . . . . . . 55
6.6 Numerical modeling of time-dependent streaming . . . . . . . . . . . . . . . 57
7 Outlook 61
A Paper published in Lab on a Chip, July 2012 63
B Paper published in Physical Review E, August 2013 75
C Paper published in Lab on a Chip, May 2014 89
D Paper published in Physical Review E, October 2014 99
E Paper submitted to Physical Review E, September 2015 113
Bibliography 132