WATER WAVES ON A BILINEAR SHEAR CURRENT

Robert A. Dalrymple

Abstract


A water wave theory is presented to describe waves propagating on a bilinear shear current flowing in the direction of the waves. The theory is derived assuming an ideal fluid in which a current exists, having a vertical velocity profile which varies linearly from a mean water level velocity of Ug, an interfacial velocity Uj at depth, d, and a bottom velocity Uj$. The theory is developed first for small amplitude waves and then extended to any arbitrary order by a numerical perturbation technique for symmetric waves. For measured waves, an irregular form of the theory is presented to provide a representation of these waves for analysis.

Keywords


current; bilinear shear current; shear current

Full Text: PDF

Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.