GROWTH OF WATER WAVES ON VISCOUS LIQUIDS

摘要

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 z = η, where η 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.