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| Titel |
Gradually varied open-channel flow profiles normalized by critical depth and analytically solved by using Gaussian hypergeometric functions |
| VerfasserIn |
C.-D. Jan, C.-L. Chen |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1027-5606
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| Digitales Dokument |
URL |
| Erschienen |
In: Hydrology and Earth System Sciences ; 17, no. 3 ; Nr. 17, no. 3 (2013-03-05), S.973-987 |
| Datensatznummer |
250018817
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| Publikation (Nr.) |
 copernicus.org/hess-17-973-2013.pdf |
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| Zusammenfassung |
| The equation of one-dimensional gradually varied flow
(GVF) in sustaining and non-sustaining open channels is normalized using the
critical depth, yc, and then analytically solved by the direct
integration method with the use of the Gaussian hypergeometric function
(GHF). The GHF-based solution so obtained from the yc-based
dimensionless GVF equation is more useful and versatile than its counterpart
from the GVF equation normalized by the normal depth, yn, because the
GHF-based solutions of the yc-based dimensionless GVF equation for the
mild (M) and adverse (A) profiles can asymptotically reduce to the
yc-based dimensionless horizontal (H) profiles as yc/yn → 0.
An in-depth analysis of the yc-based dimensionless profiles expressed
in terms of the GHF for GVF in sustaining and adverse wide channels has been
conducted to discuss the effects of yc/yn and the hydraulic exponent
N on the profiles. This paper has laid the foundation to compute at one sweep
the yc-based dimensionless GVF profiles in a series of sustaining and
adverse channels, which have horizontal slopes sandwiched in between them,
by using the GHF-based solutions. |
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