Steady streaming due to vibrating walls

Journal article, 2004

An analytical study of the flow induced by vibrating solid walls is presented. Transverse motions in the form of standing waves vibrated at small amplitudes are considered and the governing equations are perturbed using the slope as a small parameter. Steady streaming occurs at second order in the perturbation solution involving the formation of cellular flow patterns in the channel. Two dimensionless parameters determine the steady flow: frequency and channel half-width. Investigating the dependence of the flow on these parameters reveals four distinct types of cellular flows.