Gravity waves over a non-uniform flow

摘要: This paper is concerned with the propagation of small amplitude gravity waves over a flow non-uniform velocity distribution. For such Burns derived relation for in terms distribution mean flow. result here another way and some its implications are discussed. It shown that one these hardly acceptable physically. Burns's holds only when real value assumed; mentioned difficulties vanish if complex values allowed for, implying damping or growth waves. Viscous effects which cause important wall layer near bottom also at critical depth, present wave speed between zero fluid free surface. In § 2 basic equations problem given. 3 exchange momentum energy primary analogous to what happens height wind wind-driven 4 viscous included analysis equation derived. Finally 5 illustrations theory given long running along ship advancing wavy sea. examples negative curvature profile have stabilizing effect.