Figure 5.

Numerical solution of models accurate to various orders of R∕d for a bubble of equilibrium radius 100 μm and initial radius of 120 μm with rigid particles of radius 200 μm and various densities. (a) Bubble and particle initially separated by 1.5 mm for models of order R⁵∕d⁵ and higher for heavy (ρ_part∕ρ_liq=2) and light (ρ_part∕ρ_liq=0.5) particles. (b) Bubble and a light (ρ_part∕ρ_liq=0.5) particle initially separated by 0.5 mm for models accurate to order R⁵∕d⁵ or R⁹∕d⁹ and higher. (c) Bubble and a heavy (ρ_part∕ρ_liq=2) particle initially separated by 0.5 mm for models accurate to order R⁵∕d⁵ or greater than R⁹∕d⁹.