Abstract
Chaotic mixing in two-dimensional square cavity flows with time-periodic lid velocity was numerically simulated. The mixing in the cavity was quantified by measuring the pseudo-Lyapunov exponent λ. It was found that λ depends on the period of lid velocity (T) and neither the Reynolds number nor amplitude of lid velocity affects the value of T which gives the maximum λ. In addition we considered the efficient mixing process in the cavity flows related to the pattern of particle paths and analytically solved the particle motion near the corner of the cavity.