### Abstract

Two forms of a two-dimensional streamfunction solution for symmetric periodic water waves on a fluid with a vertical distribution of vorticity are presented. The magnitude of the vorticity varies linearly with the magnitude of the streamfunction while remaining constant on a particular streamline. The analysis utilizes a numerical perturbation technique, which converges rapidly to a wave of given height and period in water of a specfied depth with a given vorticity distribution. Computed results show the influence of the vorticity on the wavelength and crest elevation of the wave. (A)

Original language | English (US) |
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Pages (from-to) | 847-852 |

Number of pages | 6 |

Journal | Journal of Physical Oceanography |

Volume | 6 |

Issue number | 6 , Nov. 1976 |

State | Published - Jan 1 1976 |

### ASJC Scopus subject areas

- Oceanography

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## Cite this

Dalrymple, R. A., & Cox, J. C. (1976). Symmetric finite-amplitude rotational water waves.

*Journal of Physical Oceanography*,*6*(6 , Nov. 1976), 847-852.