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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Main Authors: Oscar Castro-Orgaz, José Roldán, José Dolz
Format: Article
Language:Spanish
Published: Universitat Politecnica de Valencia 2015-04-01
Series:Ingeniería del Agua
Subjects:
Online Access:http://polipapers.upv.es/index.php/IA/article/view/3321
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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
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spelling doaj.art-2af1d1d4302d46d89caab9171f0820cb2022-12-21T19:43:44ZspaUniversitat Politecnica de ValenciaIngeniería 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