### Abstract

Cross-sectional river shapes were obtained from a variational principle: minimizing the bed friction for a given discharge and a given maximum lateral bed slope (angle of repose). The optimal shape is found to be independent of both the exponent in the friction law adopted and the value of the discharge, but it does depend on the angle of repose. The optimal profile is a single stream; for braided rivers the solution is suboptimal.

Original language | English |
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Place of Publication | Enschede |

Publisher | Universiteit Twente |

Number of pages | 16 |

Publication status | Published - 1999 |

### Publication series

Name | Memorandum / Faculty of Mathematical Sciences, University of Twente |
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Publisher | Universiteit Twente |

No. | 1495 |

ISSN (Print) | 0169-2690 |

### Keywords

- MSC-86A05

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## Cite this

Roos, P., van Beckum, F. P. H., & van Groesen, E. W. C. (1999).

*Cross-sectional river shapes: A variational discharge-resistance formulation*. (Memorandum / Faculty of Mathematical Sciences, University of Twente; No. 1495). Enschede: Universiteit Twente.