Depth-dependent expression of obliquely incident wave induced radiation stress

The vertically dependent expressions of obliquely incident waves induced radiation stress are derived by use of the second order Stokes wave theory within three regions of the water column, that is, above the mean water level, below the wave trough level, and between these two levels. Computations indicate that the wave-induced radiation stress below the wave trough level is from the water wave particle velocity only, whereas both the water wave particle velocity and the wave pressure contribute to the tensor above the wave trough level; the vertical variations of the wave-induced radiation stress are influenced substantially by the velocity component in the direction of wave propagation; the distributions of the wave-induced radiation stress tensor over depth are non-uniform and the proportion of the tensor below the wave trough level becomes considerable in the shallow water; from water surface to seabed, the reversed variations occur for the predominant tensor components.