Transient free-surface waves due to impulsive motion of a submerged source

Abstract: The problem of a viscous flow past a submerged source starting from rest and moving with a constant velocity, below and parallel to a free surface is examined. Asymptotic expressions for long-time evolution of free-surface elevation are obtained. The results show explicitly the viscous effect on the free-surface elevation and no surface tension effect on the asymptotic wave.