WIT Press


Periodic Water Waves On Shear Currents

Price

Free (open access)

Paper DOI

10.2495/AFM980201

Volume

18

Pages

10

Published

1998

Size

763 kb

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

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