“…Given the latter, the average mixing time τ mix can be calculated using the following equation:
where x is the diffusion length (the distance that the solute needs to travel during the diffusion), and D is the diffusion coefficient. In low Re microfluidic systems, various mixing mechanisms have been demonstrated [17] using active approaches, such as magnetic [18,19], electrokinetic [20], acoustic [21–23], optical based [24] as well as passive approaches such as tesla microstructures [25,26], serpentine channels [27], and lamination [28]. These approaches either require an external mechanism to induce mixing or lacks the dynamic control of the fluid interface.…”