
List of Figures
1.1 Sketch of bulk-driven and boundary-driven acoustic streaming . . . . . . . . 2
1.2 Sketch of the forces on suspended particles in a standing acoustic wave . . . 3
1.3 Sketch and image of an acoustophoresis microchip . . . . . . . . . . . . . . . 5
2.1 Parallel plates example: sketch and rst-order solution . . . . . . . . . . . . 14
2.2 Parallel plates example: second-order solution . . . . . . . . . . . . . . . . . 17
2.3 Boundary layer and acoustic streaming . . . . . . . . . . . . . . . . . . . . . 23
5.1 Sketch of triangular computational mesh . . . . . . . . . . . . . . . . . . . . 44
5.2 Numerical mesh and convergence analysis . . . . . . . . . . . . . . . . . . . 47
5.3 Numerical convergence and temporal resolution . . . . . . . . . . . . . . . . 49
6.1 Streaming in high aspect ratio channels . . . . . . . . . . . . . . . . . . . . 52
6.2 Numerical acoustophoretic particle trajectories . . . . . . . . . . . . . . . . 54
6.3 Three-dimensional particle trajectories and velocity comparison . . . . . . . 56
6.4 Spiral focusing of particles in a nearly-square microchannel cross section . . 58
6.5 Resonance curves and energy build-up in an acoustic cavity . . . . . . . . . 60
xi