We shall report a theoretical model of the interaction of wind, waves and current in a large body of shallow water above a horizontal bottom.
Wind is assumed to act on a pre-existing wave field.
Restricting to small wave steepness, we shall start from the Reynolds equations for both air and water. The mutual interaction of wind, waves, the longitudinal as well as the transverse circulation are examined. Comparions with published experiments will be discussed. In addition, the side-band instability of waves in the presence of wind and currents will be examined.