Author(s)

R.E. Baddour and S.W. Song

Abstract

Previous analyses of waves on shear currents impose the stream profile a priori as a function of depth. In the present formulation, a stream function ip(x,y,t) is assumed to exist and unknown a priori, for a stable, two dimensional combined fluid flow of a stream of finite depth with a free surface wave disturbance of finite wave length, periodic and of permanent form. We show that the retained expression of the stream function is a quadratic in %/, the vertical coordinate. The so-called current profile is not, at the outset, imposed on the solution. First and second order wave undulations can be developed for this case. 1. Introduction Most investigations of waves on shear currents deal with linear current profiles. To model a rea

Keywords