### 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 U//S, an interfacial velocity U//I at depth, d, and a bottom velocity U//B. 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. . . in equations and graphs.

Original language | English (US) |
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Pages | 626-641 |

Number of pages | 16 |

State | Published - Jan 1 1975 |

Event | Coastal Eng Conf, 14th Int, Proc - Copenhagen, Den Duration: Jun 24 1974 → Jun 28 1974 |

### Other

Other | Coastal Eng Conf, 14th Int, Proc |
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City | Copenhagen, Den |

Period | 6/24/74 → 6/28/74 |

### ASJC Scopus subject areas

- Engineering(all)

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## Cite this

*WATER WAVES ON A BILINEAR SHEAR CURRENT.*. 626-641. Paper presented at Coastal Eng Conf, 14th Int, Proc, Copenhagen, Den, .