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

Fingerprint

friction
braided river
slope angle
river

Keywords

  • MSC-86A05

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.
Roos, P. ; van Beckum, F.P.H. ; van Groesen, E.W.C. / Cross-sectional river shapes : A variational discharge-resistance formulation. Enschede : Universiteit Twente, 1999. 16 p. (Memorandum / Faculty of Mathematical Sciences, University of Twente; 1495).
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Roos, P, van Beckum, FPH & van Groesen, EWC 1999, Cross-sectional river shapes: A variational discharge-resistance formulation. Memorandum / Faculty of Mathematical Sciences, University of Twente, no. 1495, Universiteit Twente, Enschede.

Cross-sectional river shapes : A variational discharge-resistance formulation. / Roos, P.; van Beckum, F.P.H.; van Groesen, E.W.C.

Enschede : Universiteit Twente, 1999. 16 p. (Memorandum / Faculty of Mathematical Sciences, University of Twente; No. 1495).

Research output: Book/ReportReportProfessional

TY - BOOK

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AU - van Beckum, F.P.H.

AU - van Groesen, E.W.C.

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N2 - 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.

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KW - MSC-86A05

M3 - Report

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PB - Universiteit Twente

CY - Enschede

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Roos P, van Beckum FPH, van Groesen EWC. Cross-sectional river shapes: A variational discharge-resistance formulation. Enschede: Universiteit Twente, 1999. 16 p. (Memorandum / Faculty of Mathematical Sciences, University of Twente; 1495).