The Low-frequency Wave Fields Induced by Radiation Waves in an Experimental Flume : Part 1 : Second-Order Currents Induced by a Paddle Type Wave-maker

Abstract

We study the second-order currents and changes in local mean surface level induced by two-dimensional monochromatic radiation waves in experimental flume with a paddle type wave-maker. The second-order velocity potential in periodically steady state obtained as the long-time limit of a transient state, where arbitrary constants are uniquely determined. The second-order currents are proved to be totally canceled out by Eulerian Stokes drift in any section and thus mass conservationin the flume is hold.