Superior cubic channel section and analytical solution of best hydraulic properties
| Autor: | Yan-Cheng Han, Said M. Easa |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Mathematical optimization
010504 meteorology & atmospheric sciences 0208 environmental biotechnology Mathematical analysis 02 engineering and technology 01 natural sciences 020801 environmental engineering Computer Science Applications Cross section (geometry) symbols.namesake Wetted perimeter Section (archaeology) Simple (abstract algebra) Modeling and Simulation Lagrange multiplier Catenary symbols Hydraulic diameter Electrical and Electronic Engineering Instrumentation 0105 earth and related environmental sciences Mathematics Communication channel |
| Zdroj: | Flow Measurement and Instrumentation. 50:169-177 |
| ISSN: | 0955-5986 |
| DOI: | 10.1016/j.flowmeasinst.2016.06.019 |
| Popis: | Channel cross section is an important element in water management. Numerous studies regarding parabolic and semi-cubic sections have been published. This paper introduces a new cubic channel section that has superior properties. Section characteristics are formulated and an explicit approximate formula for the wetted perimeter is derived using the Gauss-Legendre integration method. The theoretical solution of the best hydraulic cubic section is derived using the complex function method and the undetermined Lagrange multiplier optimization algorithm. A comparison with four best hydraulic sections (parabolic, semi-cubic, trapezoidal, and catenary) shows that the discharge of the cubic section is the largest, given the same cross-section flow area and/or wetted perimeter. The results also show that the cubic section is the most economic under the best hydraulic condition. Given its simple form and superior properties, the cubic section should be of interest to water resources engineers. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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