Cross-sectional river shapes: A variational discharge-resistance formulation

P. Roos, F.P.H. van Beckum, E.W.C. van Groesen

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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 languageEnglish
Place of PublicationEnschede
PublisherUniversiteit Twente
Number of pages16
Publication statusPublished - 1999

Publication series

NameMemorandum / Faculty of Mathematical Sciences, University of Twente
PublisherUniversiteit 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.