Abstract: An exact analytical solution to the Navier-Stokes
solutions is constructed for an unsteady viscous incompressible flow governing
the motion of a monochromatic surface wave on deep water which satisfies surface
boundary condition on where h is an unknown a
priori surface. It is shown that the wave-induced motion on a viscous liquid
considered here falls in the class of irrotational flow in which the viscous
effects are important.
Keywords and phrases: water waves, viscous flow, wind-wave interactions.
