This paper presents a study of the mass transport induced by the propagation of an infinitesimal disturbance on a steady stream of arbitrary vorticity distribution and direction. The three-dimensional velocity field is related to the scalar pressure field, and the particle trajectories are determined in a Lagrangian analysis that includes terms of the order of the wave slope squared....
Katz, E. J.. 1964. "Mass transport by water waves on a steady stream." Journal of Marine Research 22, (2). https://elischolar.library.yale.edu/journal_of_marine_research/1027