Undular Hydraulic Jump
The transition from subcritical to supercritical flow when the inflow Froude number Fo is close to unity appears in the form of steady state waves called undular hydraulic jump. The characterization of the undular hydraulic jump is complex due to the existence of a non-hydrostatic pressure distribut...
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| Format: | Article |
| Language: | Spanish |
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Universitat Politècnica de València
2015-04-01
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| Series: | Ingeniería del Agua |
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| Online Access: | http://polipapers.upv.es/index.php/IA/article/view/3321 |
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| _version_ | 1846094458688372736 |
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| author | Oscar Castro-Orgaz José Roldán José Dolz |
| author_facet | Oscar Castro-Orgaz José Roldán José Dolz |
| author_sort | Oscar Castro-Orgaz |
| collection | DOAJ |
| description | The transition from subcritical to supercritical flow when the inflow Froude number Fo is close to unity appears in the form of steady state waves called undular hydraulic jump. The characterization of the undular hydraulic jump is complex due to the existence of a non-hydrostatic pressure distribution that invalidates the gradually-varied flow theory, and supercritical shock waves. The objective of this work is to present a mathematical model for the undular hydraulic jump obtained from an approximate integration of the Reynolds equations for turbulent flow assuming that the Reynolds number R is high. Simple analytical solutions are presented to reveal the physics of the theory, and a numerical model is used to integrate the complete equations. The limit of application of the theory is discussed using a wave breaking condition for the inception of a surface roller. The validity of the mathematical predictions is critically assessed using physical data, thereby revealing aspects on which more research is needed |
| format | Article |
| id | doaj-art-2af1d1d4302d46d89caab9171f0820cb |
| institution | Kabale University |
| issn | 1134-2196 1886-4996 |
| language | Spanish |
| publishDate | 2015-04-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Ingeniería del Agua |
| spelling | doaj-art-2af1d1d4302d46d89caab9171f0820cb2025-01-02T13:24:23ZspaUniversitat Politècnica de ValènciaIngeniería del Agua1134-21961886-49962015-04-01192637410.4995/ia.2015.33212928Undular Hydraulic JumpOscar Castro-Orgaz0José Roldán1José Dolz2Universidad de CórdobaUniversidad de CórdobaInstituto Flumen (UPC)The transition from subcritical to supercritical flow when the inflow Froude number Fo is close to unity appears in the form of steady state waves called undular hydraulic jump. The characterization of the undular hydraulic jump is complex due to the existence of a non-hydrostatic pressure distribution that invalidates the gradually-varied flow theory, and supercritical shock waves. The objective of this work is to present a mathematical model for the undular hydraulic jump obtained from an approximate integration of the Reynolds equations for turbulent flow assuming that the Reynolds number R is high. Simple analytical solutions are presented to reveal the physics of the theory, and a numerical model is used to integrate the complete equations. The limit of application of the theory is discussed using a wave breaking condition for the inception of a surface roller. The validity of the mathematical predictions is critically assessed using physical data, thereby revealing aspects on which more research is neededhttp://polipapers.upv.es/index.php/IA/article/view/3321Flujo ondulatorioOndas de choqueResalto hidráulicoVórtice |
| spellingShingle | Oscar Castro-Orgaz José Roldán José Dolz Undular Hydraulic Jump Ingeniería del Agua Flujo ondulatorio Ondas de choque Resalto hidráulico Vórtice |
| title | Undular Hydraulic Jump |
| title_full | Undular Hydraulic Jump |
| title_fullStr | Undular Hydraulic Jump |
| title_full_unstemmed | Undular Hydraulic Jump |
| title_short | Undular Hydraulic Jump |
| title_sort | undular hydraulic jump |
| topic | Flujo ondulatorio Ondas de choque Resalto hidráulico Vórtice |
| url | http://polipapers.upv.es/index.php/IA/article/view/3321 |
| work_keys_str_mv | AT oscarcastroorgaz undularhydraulicjump AT joseroldan undularhydraulicjump AT josedolz undularhydraulicjump |