Skip to main content
Erschienen in: Experiments in Fluids 6/2009

01.12.2009 | Research Article

Velocity and potential vorticity fields measured by altimetric imaging velocimetry in the rotating fluid

verfasst von: Y. D. Afanasyev, P. B. Rhines, E. G. Lindahl

Erschienen in: Experiments in Fluids | Ausgabe 6/2009

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

An optical method of altimetric imaging velocimetry (AIV) for measuring the slope of the surface elevation in the rotating fluid with free surface is described. This method allows one to obtain the major dynamical fields in the fluid layer including velocity, vorticity and surface elevation. When used in combination with the Optical Thickness method the AIV can be used to render the full dynamical characteristics of a two-layer flow. Both methods allow one to achieve very high spatial resolution by rendering a velocity vector in each pixel of the image. An example of the two-layer source-driven flow on a γ-plane (also called polar β-plane) is offered to demonstrate the application of these methods. This “β-plume’ is a gyre-like response to a point source of fluid, including intense jets, eddies and Rossby waves.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Afanasyev YD, Wells J (2005) Quasi-two-dimensional turbulence on the polar beta-plane: laboratory experiments. Geophys Astrophys Fluid Dyn 99:1–17CrossRefMathSciNet Afanasyev YD, Wells J (2005) Quasi-two-dimensional turbulence on the polar beta-plane: laboratory experiments. Geophys Astrophys Fluid Dyn 99:1–17CrossRefMathSciNet
Zurück zum Zitat Afanasyev YD, Rhines PB, Lindahl EG (2008a) Emission of inertia-gravity waves by baroclinically unstable flows: laboratory experiments with altimetric imaging velocimetry. J Atmos Sci 65:250–262CrossRef Afanasyev YD, Rhines PB, Lindahl EG (2008a) Emission of inertia-gravity waves by baroclinically unstable flows: laboratory experiments with altimetric imaging velocimetry. J Atmos Sci 65:250–262CrossRef
Zurück zum Zitat Afanasyev YD, Rhines PB, Lindahl E.G (2008b) Vortices and Rossby waves in cylinder wakes on a parabolic β-plane observed by altimetric imaging velocimetry. Phys Fluids (in press) Afanasyev YD, Rhines PB, Lindahl E.G (2008b) Vortices and Rossby waves in cylinder wakes on a parabolic β-plane observed by altimetric imaging velocimetry. Phys Fluids (in press)
Zurück zum Zitat Avendano-Alejo M, Diaz-Uribe R (2006) Testing a fast off-axis parabolic mirror by using tilted null screens. Appl Optics 45:2607–2614CrossRef Avendano-Alejo M, Diaz-Uribe R (2006) Testing a fast off-axis parabolic mirror by using tilted null screens. Appl Optics 45:2607–2614CrossRef
Zurück zum Zitat Cenedese C, Dalziel SB (1998) Concentration and depth fields determined by the light transmitted through a dyed solution. In: Proceedings of the eighth international symposium on flow visualization. Carlomagno and Grant. ISBN 0 9533991 0 9, paper 061 Cenedese C, Dalziel SB (1998) Concentration and depth fields determined by the light transmitted through a dyed solution. In: Proceedings of the eighth international symposium on flow visualization. Carlomagno and Grant. ISBN 0 9533991 0 9, paper 061
Zurück zum Zitat Cushman-Roisin B, Chassignet EP, Tang B (1990) Westward motion of mesoscale eddies. J Phys Ocean 20:758–768CrossRef Cushman-Roisin B, Chassignet EP, Tang B (1990) Westward motion of mesoscale eddies. J Phys Ocean 20:758–768CrossRef
Zurück zum Zitat Dabiri D, Gharib M (2001) Simultaneous free-surface deformation and near surface velocity measurements. Exp Fluids 30:381–390CrossRef Dabiri D, Gharib M (2001) Simultaneous free-surface deformation and near surface velocity measurements. Exp Fluids 30:381–390CrossRef
Zurück zum Zitat Davey MK, Killworth PD (1989) Flows produced by discrete sources of buoyancy. J Phys Ocean 19:1279–1290CrossRef Davey MK, Killworth PD (1989) Flows produced by discrete sources of buoyancy. J Phys Ocean 19:1279–1290CrossRef
Zurück zum Zitat Dewar WK, Gailliard C (1994) The dynamics of barotropically dominated rings. J Phys Ocean 24:5–29CrossRef Dewar WK, Gailliard C (1994) The dynamics of barotropically dominated rings. J Phys Ocean 24:5–29CrossRef
Zurück zum Zitat Frolov SA, Sutyrin GG, Ginis I (2004) Asymmetry of an equilibrated Gulf Stream-type jet over topographic slope. J Phys Ocean 34:1087–1102CrossRefMathSciNet Frolov SA, Sutyrin GG, Ginis I (2004) Asymmetry of an equilibrated Gulf Stream-type jet over topographic slope. J Phys Ocean 34:1087–1102CrossRefMathSciNet
Zurück zum Zitat Gill AE (1982) Atmosphere–ocean dynamics. Academic, New York Gill AE (1982) Atmosphere–ocean dynamics. Academic, New York
Zurück zum Zitat Griffiths RW, Linden PF (1981) The stability of buoyancy-driven coastal currents. Dyn Atmos Oceans 5:281–306CrossRef Griffiths RW, Linden PF (1981) The stability of buoyancy-driven coastal currents. Dyn Atmos Oceans 5:281–306CrossRef
Zurück zum Zitat Jacob JP, Chassignet EP, Dewar WK (2002) Influence of topography on the propagation of isolated eddies. J Phys Ocean 32:2848–2869CrossRefMathSciNet Jacob JP, Chassignet EP, Dewar WK (2002) Influence of topography on the propagation of isolated eddies. J Phys Ocean 32:2848–2869CrossRefMathSciNet
Zurück zum Zitat Jahne B, Klinke J, Waas S (1994) Imaging of short ocean wind waves: a critical theoretical review. J Opt Soc Am A 11:2197–2209CrossRef Jahne B, Klinke J, Waas S (1994) Imaging of short ocean wind waves: a critical theoretical review. J Opt Soc Am A 11:2197–2209CrossRef
Zurück zum Zitat Korn GA, Korn TM (1968) Mathematical handbook for scientists and engineers, 2nd edn. McGraw-Hill, New York Korn GA, Korn TM (1968) Mathematical handbook for scientists and engineers, 2nd edn. McGraw-Hill, New York
Zurück zum Zitat Linden PF, Simpson JE (1994) Continuous releases of dense fluid from an elevated point source in a cross-flow. In: Beven KJ, Chatwin PC, Millbank JH (eds) Mixing and transport in the environment. Wiley, New York, pp 401–418 Linden PF, Simpson JE (1994) Continuous releases of dense fluid from an elevated point source in a cross-flow. In: Beven KJ, Chatwin PC, Millbank JH (eds) Mixing and transport in the environment. Wiley, New York, pp 401–418
Zurück zum Zitat Lourenco L, Krothapalli A (1995) On the accuracy of velocity and vorticity measurements with PIV. Exp Fluids 18:421–428CrossRef Lourenco L, Krothapalli A (1995) On the accuracy of velocity and vorticity measurements with PIV. Exp Fluids 18:421–428CrossRef
Zurück zum Zitat Rhines PB (1977) The dynamics of unsteady currents. In: Goldberg ED (ed) The sea, VI. Wiley, New York, pp 189–318 Rhines PB (1977) The dynamics of unsteady currents. In: Goldberg ED (ed) The sea, VI. Wiley, New York, pp 189–318
Zurück zum Zitat Rhines PB, Lindahl EG, Mendez AJ (2006) Optical altimetry: a new method for observing rotating fluids with application to Rossby waves on a polar beta-plane. J Fluid Mech 572:389–412CrossRef Rhines PB, Lindahl EG, Mendez AJ (2006) Optical altimetry: a new method for observing rotating fluids with application to Rossby waves on a polar beta-plane. J Fluid Mech 572:389–412CrossRef
Zurück zum Zitat Spall MS (2001) Large-scale circulations forced by localized mixing over a sloping bottom. J Phys Ocean 31:2369–2384CrossRef Spall MS (2001) Large-scale circulations forced by localized mixing over a sloping bottom. J Phys Ocean 31:2369–2384CrossRef
Zurück zum Zitat Stommel HM (1982) Is the South Pacific helium-3 plume dynamically active? Earth Planet Sci Lett 61:63–67CrossRef Stommel HM (1982) Is the South Pacific helium-3 plume dynamically active? Earth Planet Sci Lett 61:63–67CrossRef
Zurück zum Zitat Sutyrin GG, Grimshaw R (2005) Frictional effects on the deep-flow feedback on the β-drift of a baroclinic vortex over sloping topography. Deep Sea Res I 52:2156–2167CrossRef Sutyrin GG, Grimshaw R (2005) Frictional effects on the deep-flow feedback on the β-drift of a baroclinic vortex over sloping topography. Deep Sea Res I 52:2156–2167CrossRef
Zurück zum Zitat Whitehead JA, Stern ME, Flierl GR, Klinger BA (1990) Experimental observations of baroclinic eddies on a sloping bottom. J Geophys Res 95:9585–9610CrossRef Whitehead JA, Stern ME, Flierl GR, Klinger BA (1990) Experimental observations of baroclinic eddies on a sloping bottom. J Geophys Res 95:9585–9610CrossRef
Zurück zum Zitat Zhang X, Dabiri D, Gharib M (1996) Optical mapping of fluid density interfaces: concepts and implementations. Rev Sci Instrum 67:1858–1868CrossRef Zhang X, Dabiri D, Gharib M (1996) Optical mapping of fluid density interfaces: concepts and implementations. Rev Sci Instrum 67:1858–1868CrossRef
Metadaten
Titel
Velocity and potential vorticity fields measured by altimetric imaging velocimetry in the rotating fluid
verfasst von
Y. D. Afanasyev
P. B. Rhines
E. G. Lindahl
Publikationsdatum
01.12.2009
Verlag
Springer-Verlag
Erschienen in
Experiments in Fluids / Ausgabe 6/2009
Print ISSN: 0723-4864
Elektronische ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-009-0689-3

Weitere Artikel der Ausgabe 6/2009

Experiments in Fluids 6/2009 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.