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Dynamic and Variational Approaches to the River Regime Relation

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Entropy and Energy Dissipation in Water Resources

Part of the book series: Water Science and Technology Library ((WSTL,volume 9))

Abstract

A lemma, useful to prove the equivalence of different variational formulations of related problems, is proposed. Extremal hypotheses about regime alluvial channels are then examined and an equivalence class between them is pointed out, including the minimum stream power and the maximum transport principles. Evidence is produced of contradictions between statements derived from this class of hypotheses and well-established opinions about regime channel. The internal consistency of the theory of minimum dissipation rate is examined, and it is shown that it can’t be derived from the principles of mechanics. The physical basis of extremum hypotheses about alluvial channels is analyzed, and a functional is proposed whose minimum should be equivalent to transversal equilibrium of the channel section.

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Authors and Affiliations

  1. University of Bologna, viale del Risorgimento 2, 40137, Bologna, Italy

    A. Lamberti

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  1. A. Lamberti
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Editor information

Editors and Affiliations

  1. Department of Civil Engineering, Louisiana State University, Baton Rouge, USA

    V. P. Singh

  2. Department of Environmental Engineering and Physics, University of Basilicata, Potenza, Italy

    M. Fiorentino

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© 1992 Springer Science+Business Media Dordrecht

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Lamberti, A. (1992). Dynamic and Variational Approaches to the River Regime Relation. In: Singh, V.P., Fiorentino, M. (eds) Entropy and Energy Dissipation in Water Resources. Water Science and Technology Library, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2430-0_30

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  • DOI: https://doi.org/10.1007/978-94-011-2430-0_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5072-2

  • Online ISBN: 978-94-011-2430-0

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