On the impact of wave-current on Stokes waves

Abstract

This study considers the impact of wave - current on Stokes waves in deep water. Using separately, the third, fourth and fifth order approximations of wave profile functions respectively and the determined expressions for wave – current speed , it is shown that the wave - current speed is more intense on the surface of the ocean, but however, the intensity reduces exponentially downwards with the depth. The present analysis also suggests that the wave – current speed increases with increase in wave steepness. It is further deduced that the wave- current speed is the same in magnitude for both fourth and fifth order; thus, showing the convergence of solutions concerning wave - current speed in Stokes waves as the order increases. JONAMP Vol. 11 2007: pp. 363-368