Theoretical Stable Hydraulic Section based on the Principle of Least Action

Abstract Despite decades of effort, stable hydraulic geometry for an open channel water flow has hardly been established because of too many unknown variables for too few rational relationships. This article derives the most efficient channel cross section using calculus of variations for the given...

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Autores principales:	Noriaki Ohara, Katsu Yamatani
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2019
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/2f7901234bd74899a657e9914bf129ba
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spelling	oai:doaj.org-article:2f7901234bd74899a657e9914bf129ba2021-12-02T15:09:40ZTheoretical Stable Hydraulic Section based on the Principle of Least Action10.1038/s41598-019-44347-42045-2322https://doaj.org/article/2f7901234bd74899a657e9914bf129ba2019-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-019-44347-4https://doaj.org/toc/2045-2322Abstract Despite decades of effort, stable hydraulic geometry for an open channel water flow has hardly been established because of too many unknown variables for too few rational relationships. This article derives the most efficient channel cross section using calculus of variations for the given flow area at the minimum wetting perimeter length, which is equivalent to the principle of least action. Analysis indicates that water can most efficiently flow in a semi-ellipse section channel with minimum friction and erosion. Anisotropy in channel erodibility was found to be necessary in the natural stable channel characterization because gravitation force and channel bank consolidation cannot be ignored in earth surface material. This channel cross section, based on the principle of least action, may be regarded as the theoretical stable hydraulic section for erodible bed, which was comparable to the observed river cross-sections during high flow periods.Noriaki OharaKatsu YamataniNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 9, Iss 1, Pp 1-6 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Noriaki Ohara Katsu Yamatani Theoretical Stable Hydraulic Section based on the Principle of Least Action
description	Abstract Despite decades of effort, stable hydraulic geometry for an open channel water flow has hardly been established because of too many unknown variables for too few rational relationships. This article derives the most efficient channel cross section using calculus of variations for the given flow area at the minimum wetting perimeter length, which is equivalent to the principle of least action. Analysis indicates that water can most efficiently flow in a semi-ellipse section channel with minimum friction and erosion. Anisotropy in channel erodibility was found to be necessary in the natural stable channel characterization because gravitation force and channel bank consolidation cannot be ignored in earth surface material. This channel cross section, based on the principle of least action, may be regarded as the theoretical stable hydraulic section for erodible bed, which was comparable to the observed river cross-sections during high flow periods.
format	article
author	Noriaki Ohara Katsu Yamatani
author_facet	Noriaki Ohara Katsu Yamatani
author_sort	Noriaki Ohara
title	Theoretical Stable Hydraulic Section based on the Principle of Least Action
title_short	Theoretical Stable Hydraulic Section based on the Principle of Least Action
title_full	Theoretical Stable Hydraulic Section based on the Principle of Least Action
title_fullStr	Theoretical Stable Hydraulic Section based on the Principle of Least Action
title_full_unstemmed	Theoretical Stable Hydraulic Section based on the Principle of Least Action
title_sort	theoretical stable hydraulic section based on the principle of least action
publisher	Nature Portfolio
publishDate	2019
url	https://doaj.org/article/2f7901234bd74899a657e9914bf129ba
work_keys_str_mv	AT noriakiohara theoreticalstablehydraulicsectionbasedontheprincipleofleastaction AT katsuyamatani theoreticalstablehydraulicsectionbasedontheprincipleofleastaction
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Theoretical Stable Hydraulic Section based on the Principle of Least Action

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