Visualization of Specific Energy for Open Channel Flow in Three Dimensions
- Authors
- Lee, Jun Seon; Lee, Seung Oh; Gray, Donald D.; Hong, Seung Ho
- Issue Date
- Jun-2019
- Publisher
- 대한토목학회
- Keywords
- specific energy; minimum specific energy; 3D graph; open channel flow; visualization; alternate depth; critical flow
- Citation
- KSCE Journal of Civil Engineering, v.23, no.6, pp 2541 - 2549
- Pages
- 9
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- KSCE Journal of Civil Engineering
- Volume
- 23
- Number
- 6
- Start Page
- 2541
- End Page
- 2549
- URI
- https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/106220
- DOI
- 10.1007/s12205-019-2171-y
- ISSN
- 1226-7988
1976-3808
- Abstract
- Specific energy is the total head with respect to the channel bottom. It is a summation of the velocity head and the depth of flow at
a given cross section. Specific energy has proven to be very useful in the analysis of open channel flow and the concept is discussed
in every open channel book. Usually, the discussion is illustrated by 2-dimensional plots of depth vs. specific energy with discharge
as a parameter and/or depth vs. flowrate with specific energy as a parameter. Obviously, these graphs depict slices through a surface
in a three-dimensional space whose coordinates are depth, discharge, and specific energy. Furthermore, the plots are almost
invariably displayed only for rectangular cross sections, and the three-dimensional specific energy surface is rarely shown. Using
graphical software, this paper displayed the specific energy function as a surface in three dimensions for rectangular cross sections.
For the first time, the specific energy function is also visualized in three dimensions for rectangular and trapezoidal cross sections as
well as a compound channel cross sections, revealing unexpected features. Above all, this study is particularly meaningful in
expressing alternate depth and critical water depth in an effective way that only a few researchers have tried to express before.
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