Stokes' drift: An exact result
LUC - B-3590 Diepenbeek, Belgium
Accepted: 19 January 1999
An exact integral expression for the Stokes' drift of diffusive particles produced by an arbitrary wave form is derived. Asymptotic expressions are given in the large-diffusion and small-diffusion limits as a function of the Peclet number. The integrals are evaluated analytically for a square wave and an impulse wave.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.60.-k – Transport processes
© EDP Sciences, 1999