Skip to main content
Erschienen in: Experiments in Fluids 1/2020

01.01.2020 | Research Article

A new atmospheric-like differentially heated rotating annulus configuration to study gravity wave emission from jets and fronts

verfasst von: Costanza Rodda, Steffen Hien, Ulrich Achatz, Uwe Harlander

Erschienen in: Experiments in Fluids | Ausgabe 1/2020

Einloggen

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

search-config
loading …

Abstract

Significant inertia-gravity wave activity has been frequently observed in the vicinity of jet and front systems in the atmosphere. Although many studies have established the importance of these non-orographic sources, the mechanisms responsible for spontaneous wave emissions are still not fully understood. The complexity of the three-dimensional flow pattern and distribution of the sources over large areas point towards the need for laboratory experiments and idealised numerical simulations. These will help understand the correct interpretation of the fundamental dynamical processes in a simplified, but yet realistic flow. In this study, we emphasise the importance of using set-ups of the differentially heated rotating annulus experiment with a ratio between the buoyancy frequency N, and the Coriolis parameter f larger than one to investigate atmosphere-like emission of gravity waves from baroclinic jets. Indeed, in the atmosphere \(N/f\sim 100\), but for table-top size experiments this ratio is smaller than one, resulting in an unfavourable condition for the propagation of gravity waves. For this reason, we offer a newly built laboratory experiment supported by numerical simulations that allow \(N/f>1\). The conditions for gravity wave emission in this new configuration are examined in detail, and the first evidence of IGWs is reported. Moreover, we compare numerical simulations and experimental data focusing on the variations of the temperature T, and its effects on the buoyancy frequency N. It becomes clear, that despite the fact the global structure and baroclinic instability characteristics are very similar, the model and experiment show deviations in N with implications for gravity wave emission. Due to the complex horizontal structure of N, where the largest values occur along the baroclinic jet axis, the inertia-gravity waves in the experiment are observed to be trapped.

Graphic abstract

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!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Banerjee AK, Bhattacharya A, Balasubramanian S (2018) Experimental study of rotating convection in the presence of bi-directional thermal gradients with localized heating. AIP Adv 8(11):115324 Banerjee AK, Bhattacharya A, Balasubramanian S (2018) Experimental study of rotating convection in the presence of bi-directional thermal gradients with localized heating. AIP Adv 8(11):115324
Zurück zum Zitat Barcilon V (1964) Role of the Ekman layers in the stability of the symmetric regime obtained in a rotating annulus. J Atmos Sci 21(3):291–299MathSciNet Barcilon V (1964) Role of the Ekman layers in the stability of the symmetric regime obtained in a rotating annulus. J Atmos Sci 21(3):291–299MathSciNet
Zurück zum Zitat Borchert S, Achatz U, Fruman MD (2014) Gravity wave emission in an atmosphere-like configuration of the differentially heated rotating annulus experiment. J Fluid Mech 758:287–311 Borchert S, Achatz U, Fruman MD (2014) Gravity wave emission in an atmosphere-like configuration of the differentially heated rotating annulus experiment. J Fluid Mech 758:287–311
Zurück zum Zitat Dörnbrack A, Pitts M, Poole L, Orsolini Y, Nishii K, Nakamura H (2012) The 2009–2010 arctic stratospheric winter-general evolution, mountain waves and predictability of an operational weather forecast model. Atmos Chem Phys Discuss 12:3659–3675 Dörnbrack A, Pitts M, Poole L, Orsolini Y, Nishii K, Nakamura H (2012) The 2009–2010 arctic stratospheric winter-general evolution, mountain waves and predictability of an operational weather forecast model. Atmos Chem Phys Discuss 12:3659–3675
Zurück zum Zitat Dörnbrack A, Gisinger S, Kaifler N, Portele TC, Bramberger M, Rapp M, Gerding M, Söder J, Žagar N, Jelić D (2018) Gravity waves excited during a minor sudden stratospheric warming. Atmos Chem Phys 18(17):12915–12931 Dörnbrack A, Gisinger S, Kaifler N, Portele TC, Bramberger M, Rapp M, Gerding M, Söder J, Žagar N, Jelić D (2018) Gravity waves excited during a minor sudden stratospheric warming. Atmos Chem Phys 18(17):12915–12931
Zurück zum Zitat Douglas H, Mason P (1973) Thermal convection in a large rotating fluid annulus: some effects of varying the aspect ratio. J Atmos Sci 30(6):1124–1134 Douglas H, Mason P (1973) Thermal convection in a large rotating fluid annulus: some effects of varying the aspect ratio. J Atmos Sci 30(6):1124–1134
Zurück zum Zitat Drazin P (1978) Variations on a theme of Eady. Rotating fluids in geophysics, chap 3 . Academic Press, New York, pp 139–169 Drazin P (1978) Variations on a theme of Eady. Rotating fluids in geophysics, chap 3 . Academic Press, New York, pp 139–169
Zurück zum Zitat Fein JS (1973) An experimental study of the effects of the upper boundary condition on the thermal convection in a rotating, differentially heated cylindrical annulus of water. Geophys Astrophys Fluid Dyn 5(1):213–248 Fein JS (1973) An experimental study of the effects of the upper boundary condition on the thermal convection in a rotating, differentially heated cylindrical annulus of water. Geophys Astrophys Fluid Dyn 5(1):213–248
Zurück zum Zitat Flór JB, Scolan H, Gula J (2011) Frontal instabilities and waves in a differentially rotating fluid. J Fluid Mech 685:532–542MATH Flór JB, Scolan H, Gula J (2011) Frontal instabilities and waves in a differentially rotating fluid. J Fluid Mech 685:532–542MATH
Zurück zum Zitat Früh WG, Read P (1997) Wave interactions and the transition to chaos of baroclinic waves in a thermally driven rotating annulus. Philos Trans R Soc Lond A Math Phys Eng Sci 355(1722):101–153MathSciNetMATH Früh WG, Read P (1997) Wave interactions and the transition to chaos of baroclinic waves in a thermally driven rotating annulus. Philos Trans R Soc Lond A Math Phys Eng Sci 355(1722):101–153MathSciNetMATH
Zurück zum Zitat Gula J, Zeitlin V, Plougonven R (2009) Instabilities of two-layer shallow-water flows with vertical shear in the rotating annulus. J Fluid Mech 638:27–47MATH Gula J, Zeitlin V, Plougonven R (2009) Instabilities of two-layer shallow-water flows with vertical shear in the rotating annulus. J Fluid Mech 638:27–47MATH
Zurück zum Zitat Harlander U, von Larcher T, Wang Y, Egbers C (2011) PIV-and LDV-measurements of baroclinic wave interactions in a thermally driven rotating annulus. Exp Fluids 51(1):37–49 Harlander U, von Larcher T, Wang Y, Egbers C (2011) PIV-and LDV-measurements of baroclinic wave interactions in a thermally driven rotating annulus. Exp Fluids 51(1):37–49
Zurück zum Zitat Harlander U, Wenzel J, Alexandrov K, Wang Y, Egbers C (2012) Simultaneous piv and thermography measurements of partially blocked flow in a differentially heated rotating annulus. Exp Fluids 52(4):1077–1087 Harlander U, Wenzel J, Alexandrov K, Wang Y, Egbers C (2012) Simultaneous piv and thermography measurements of partially blocked flow in a differentially heated rotating annulus. Exp Fluids 52(4):1077–1087
Zurück zum Zitat Hathaway D, Fowlis W (1986) Flow regimes in a shallow rotating cylindrical annulus with temperature gradients imposed on the horizontal boundaries. J Fluid Mech 172:401–418 Hathaway D, Fowlis W (1986) Flow regimes in a shallow rotating cylindrical annulus with temperature gradients imposed on the horizontal boundaries. J Fluid Mech 172:401–418
Zurück zum Zitat Hide R (1967) Theory of axisymmetric thermal convection in a rotating fluid annulus. Phys Fluids 10(1):56–68MATH Hide R (1967) Theory of axisymmetric thermal convection in a rotating fluid annulus. Phys Fluids 10(1):56–68MATH
Zurück zum Zitat Hide R, Fowlis W (1965) Thermal convection in a rotating annulus of liquid: effect of viscosity on the transition between axisymmetric and non-axisymmetric flow regimes. J Atmos Sci 22(5):541–558 Hide R, Fowlis W (1965) Thermal convection in a rotating annulus of liquid: effect of viscosity on the transition between axisymmetric and non-axisymmetric flow regimes. J Atmos Sci 22(5):541–558
Zurück zum Zitat Hide R, Mason P (1970) Baroclinic Waves in a Rotating Fluid Subject to Internal Heating. Philos Trans R Soc Lond Ser A 268:201–232 Hide R, Mason P (1970) Baroclinic Waves in a Rotating Fluid Subject to Internal Heating. Philos Trans R Soc Lond Ser A 268:201–232
Zurück zum Zitat Hide R, Mason P (1975) Sloping convection in a rotating fluid. Adv Phys 24(1):47–100 Hide R, Mason P (1975) Sloping convection in a rotating fluid. Adv Phys 24(1):47–100
Zurück zum Zitat Hien S, Rolland J, Borchert S, Schoon L, Zülicke C, Achatz U (2018) Spontaneous inertia-gravity wave emission in the differentially heated rotating annulus experiment. J Fluid Mech 838:5–41MathSciNetMATH Hien S, Rolland J, Borchert S, Schoon L, Zülicke C, Achatz U (2018) Spontaneous inertia-gravity wave emission in the differentially heated rotating annulus experiment. J Fluid Mech 838:5–41MathSciNetMATH
Zurück zum Zitat Jacoby T, Read P, Williams PD, Young R (2011) Generation of inertia-gravity waves in the rotating thermal annulus by a localised boundary layer instability. Geophys Astrophys Fluid Dyn 105(2–3):161–181MathSciNet Jacoby T, Read P, Williams PD, Young R (2011) Generation of inertia-gravity waves in the rotating thermal annulus by a localised boundary layer instability. Geophys Astrophys Fluid Dyn 105(2–3):161–181MathSciNet
Zurück zum Zitat Ketchum CB (1972) An experimental study of baroclinic annulus waves at large Taylor number. J Atmos Sci 29(4):665–679 Ketchum CB (1972) An experimental study of baroclinic annulus waves at large Taylor number. J Atmos Sci 29(4):665–679
Zurück zum Zitat Khaykin S, Hauchecorne A, Mzé N, Keckhut P (2015) Seasonal variation of gravity wave activity at midlatitudes from 7 years of cosmic gps and rayleigh lidar temperature observations. Geophys Res Lett 42(4):1251–1258 Khaykin S, Hauchecorne A, Mzé N, Keckhut P (2015) Seasonal variation of gravity wave activity at midlatitudes from 7 years of cosmic gps and rayleigh lidar temperature observations. Geophys Res Lett 42(4):1251–1258
Zurück zum Zitat Lambert R, Snyder H (1966) Experiments on the effect of horizontal shear and change of aspect ratio on convective flow in a rotating annulus. J Geophys Res 71(22):5225–5234 Lambert R, Snyder H (1966) Experiments on the effect of horizontal shear and change of aspect ratio on convective flow in a rotating annulus. J Geophys Res 71(22):5225–5234
Zurück zum Zitat Lovegrove A, Read P, Richards C (2000) Generation of inertia-gravity waves in a baroclinically unstable fluid. Quar J R Meteorol Soc 126(570):3233–3254 Lovegrove A, Read P, Richards C (2000) Generation of inertia-gravity waves in a baroclinically unstable fluid. Quar J R Meteorol Soc 126(570):3233–3254
Zurück zum Zitat O’Neil EJ (1969) The stability of flows in a differentially heated rotating fluid system with rigid bottom and free top. Stud Appl Math 48(3):227–256MATH O’Neil EJ (1969) The stability of flows in a differentially heated rotating fluid system with rigid bottom and free top. Stud Appl Math 48(3):227–256MATH
Zurück zum Zitat O’Sullivan D, Dunkerton TJ (1995) Generation of inertia-gravity waves in a simulated life cycle of baroclinic instability. J Atmos Sci 52(21):3695–3716 O’Sullivan D, Dunkerton TJ (1995) Generation of inertia-gravity waves in a simulated life cycle of baroclinic instability. J Atmos Sci 52(21):3695–3716
Zurück zum Zitat Pedlosky J (2013) Waves in the ocean and atmosphere: introduction to wave dynamics. Springer, New York Pedlosky J (2013) Waves in the ocean and atmosphere: introduction to wave dynamics. Springer, New York
Zurück zum Zitat Plougonven R, Snyder C (2005) Gravity waves excited by jets: propagation versus generation. Geophys Res Lett 32(18):L18802 Plougonven R, Snyder C (2005) Gravity waves excited by jets: propagation versus generation. Geophys Res Lett 32(18):L18802
Zurück zum Zitat Plougonven R, Zhang F (2014) Internal gravity waves from atmospheric jets and fronts. Rev Geophys 52(1):33–76 Plougonven R, Zhang F (2014) Internal gravity waves from atmospheric jets and fronts. Rev Geophys 52(1):33–76
Zurück zum Zitat Randriamampianina A, del Arco EC (2015) Inertia-gravity waves in a liquid-filled, differentially heated, rotating annulus. J Fluid Mech 782:144–177MathSciNetMATH Randriamampianina A, del Arco EC (2015) Inertia-gravity waves in a liquid-filled, differentially heated, rotating annulus. J Fluid Mech 782:144–177MathSciNetMATH
Zurück zum Zitat Read PL, Pérez EP, Moroz IM, Young RM (2014) Modeling atmospheric and oceanic flows: insights from laboratory experiments and numerical simulations. In: von Larcher T, Williams P (eds) Chap General circulation of planetary atmospheres: insights from rotating annulus and related experiments, vol 205. Wiley, New York Read PL, Pérez EP, Moroz IM, Young RM (2014) Modeling atmospheric and oceanic flows: insights from laboratory experiments and numerical simulations. In: von Larcher T, Williams P (eds) Chap General circulation of planetary atmospheres: insights from rotating annulus and related experiments, vol 205. Wiley, New York
Zurück zum Zitat Rodda C, Borcia I, Le Gal P, Vincze M, Harlander U (2018) Baroclinic, Kelvin and inertia-gravity waves in the barostrat instability experiment. Geophys Astrophys Fluid Dyn 112(3):175–206 Rodda C, Borcia I, Le Gal P, Vincze M, Harlander U (2018) Baroclinic, Kelvin and inertia-gravity waves in the barostrat instability experiment. Geophys Astrophys Fluid Dyn 112(3):175–206
Zurück zum Zitat Sato K, Yoshiki M (2008) Gravity wave generation around the polar vortex in the stratosphere revealed by 3-hourly radiosonde observations at syowa station. J Atmos Sci 65(12):3719–3735 Sato K, Yoshiki M (2008) Gravity wave generation around the polar vortex in the stratosphere revealed by 3-hourly radiosonde observations at syowa station. J Atmos Sci 65(12):3719–3735
Zurück zum Zitat Schecter DA (2008) The spontaneous imbalance of an atmospheric vortex at high rossby number. J Atmos Sci 65(8):2498–2521 Schecter DA (2008) The spontaneous imbalance of an atmospheric vortex at high rossby number. J Atmos Sci 65(8):2498–2521
Zurück zum Zitat Scolan H, Read PL (2017) A rotating annulus driven by localized convective forcing: a new atmosphere-like experiment. Exp Fluids 58(6):75 Scolan H, Read PL (2017) A rotating annulus driven by localized convective forcing: a new atmosphere-like experiment. Exp Fluids 58(6):75
Zurück zum Zitat Scolan H, Verzicco R, Flór J (2014) Frontal instabilities at density–shear interfaces in rotating two‐layer stratified fluids. In: von Larcher T, Williams PD (eds) Modeling atmospheric and oceanic flows, pp 2013–2018 Scolan H, Verzicco R, Flór J (2014) Frontal instabilities at density–shear interfaces in rotating two‐layer stratified fluids. In: von Larcher T, Williams PD (eds) Modeling atmospheric and oceanic flows, pp 2013–2018
Zurück zum Zitat Sugimoto N, Ishioka K, Ishii K (2008) Parameter sweep experiments on spontaneous gravity wave radiation from unsteady rotational flow in an f-plane shallow water system. J Atmos Sci 65(1):235–249 Sugimoto N, Ishioka K, Ishii K (2008) Parameter sweep experiments on spontaneous gravity wave radiation from unsteady rotational flow in an f-plane shallow water system. J Atmos Sci 65(1):235–249
Zurück zum Zitat Suzuki S, Shiokawa K, Otsuka Y, Kawamura S, Murayama Y (2013) Evidence of gravity wave ducting in the mesopause region from airglow network observations. Geophys Res Lett 40(3):601–605 Suzuki S, Shiokawa K, Otsuka Y, Kawamura S, Murayama Y (2013) Evidence of gravity wave ducting in the mesopause region from airglow network observations. Geophys Res Lett 40(3):601–605
Zurück zum Zitat Ukaji K, Tamaki K (1989) A comparison of laboratory experiments and numerical simulations of steady baroclinic waves produced in a differentially heated rotating fluid annulus. J Meteorol Soc Jpn Ser II 67(3):359–374 Ukaji K, Tamaki K (1989) A comparison of laboratory experiments and numerical simulations of steady baroclinic waves produced in a differentially heated rotating fluid annulus. J Meteorol Soc Jpn Ser II 67(3):359–374
Zurück zum Zitat Vanneste J (2013) Balance and spontaneous wave generation in geophysical flows. Ann Rev Fluid Mech 45(1):147–172MathSciNetMATH Vanneste J (2013) Balance and spontaneous wave generation in geophysical flows. Ann Rev Fluid Mech 45(1):147–172MathSciNetMATH
Zurück zum Zitat Vincze M, Harlander U, von Larcher T, Egbers C (2014) An experimental study of regime transitions in a differentially heated baroclinic annulus with flat and sloping bottom topographies. Nonlinear Proces Geophys 21:237–250 Vincze M, Harlander U, von Larcher T, Egbers C (2014) An experimental study of regime transitions in a differentially heated baroclinic annulus with flat and sloping bottom topographies. Nonlinear Proces Geophys 21:237–250
Zurück zum Zitat Vincze M, Borchert S, Achatz U, von Larcher T, Baumann M, Liersch C, Remmler S, Beck T, Alexandrov KD, Egbers C et al (2015) Benchmarking in a rotating annulus: a comparative experimental and numerical study of baroclinic wave dynamics. Meteorologische Zeitschrift 3(26):611–635 Vincze M, Borchert S, Achatz U, von Larcher T, Baumann M, Liersch C, Remmler S, Beck T, Alexandrov KD, Egbers C et al (2015) Benchmarking in a rotating annulus: a comparative experimental and numerical study of baroclinic wave dynamics. Meteorologische Zeitschrift 3(26):611–635
Zurück zum Zitat Vincze M, Borcia I, Harlander U, Le Gal P (2016) Double-diffusive convection and baroclinic instability in a differentially heated and initially stratified rotating system: the barostrat instability. Fluid Dyn Res 48(6):061414MathSciNet Vincze M, Borcia I, Harlander U, Le Gal P (2016) Double-diffusive convection and baroclinic instability in a differentially heated and initially stratified rotating system: the barostrat instability. Fluid Dyn Res 48(6):061414MathSciNet
Zurück zum Zitat Von Larcher T, Egbers C (2005) Experiments on transitions of baroclinic waves in a differentially heated rotating annulus. Nonlinear Process Geophys 12(6):1033–1041 Von Larcher T, Egbers C (2005) Experiments on transitions of baroclinic waves in a differentially heated rotating annulus. Nonlinear Process Geophys 12(6):1033–1041
Zurück zum Zitat Von Larcher T, Viazzo S, Harlander U, Vincze M, Randriamampianina A (2018) Instabilities and small-scale waves within the Stewartson layers of a thermally driven rotating annulus. J Fluid Mech 841:380–407MATH Von Larcher T, Viazzo S, Harlander U, Vincze M, Randriamampianina A (2018) Instabilities and small-scale waves within the Stewartson layers of a thermally driven rotating annulus. J Fluid Mech 841:380–407MATH
Zurück zum Zitat von Storch JS, Badin G, Oliver M (2019) The interior energy pathway: inertia-gravity wave emission by oceanic flows. In: Eden C, Iske A (eds) Energy transfers in atmosphere and ocean. Mathematics of planet earth, vol 1. Springer, Cham, New York, pp 53–85 von Storch JS, Badin G, Oliver M (2019) The interior energy pathway: inertia-gravity wave emission by oceanic flows.  In: Eden C, Iske A (eds) Energy transfers in atmosphere and ocean. Mathematics of planet earth, vol 1. Springer, Cham, New York, pp 53–85
Zurück zum Zitat Williams PD, Haine TW, Read PL (2005) On the generation mechanisms of short-scale unbalanced modes in rotating two-layer flows with vertical shear. J Fluid Mech 528:1–22MATH Williams PD, Haine TW, Read PL (2005) On the generation mechanisms of short-scale unbalanced modes in rotating two-layer flows with vertical shear. J Fluid Mech 528:1–22MATH
Zurück zum Zitat Williams PD, Haine TW, Read PL (2008) Inertia-gravity waves emitted from balanced flow: Observations, properties, and consequences. J Atmos Sci 65(11):3543–3556 Williams PD, Haine TW, Read PL (2008) Inertia-gravity waves emitted from balanced flow: Observations, properties, and consequences. J Atmos Sci 65(11):3543–3556
Zurück zum Zitat Wu DL, Zhang F (2004) A study of mesoscale gravity waves over the north Atlantic with satellite observations and a mesoscale model. J Geophys Res Atmos 109:D22104 Wu DL, Zhang F (2004) A study of mesoscale gravity waves over the north Atlantic with satellite observations and a mesoscale model. J Geophys Res Atmos 109:D22104
Zurück zum Zitat Young R, Read P (2013) Data assimilation in the laboratory using a rotating annulus experiment. Quart J R Meteorol Soc 139(675):1488–1504 Young R, Read P (2013) Data assimilation in the laboratory using a rotating annulus experiment. Quart J R Meteorol Soc 139(675):1488–1504
Metadaten
Titel
A new atmospheric-like differentially heated rotating annulus configuration to study gravity wave emission from jets and fronts
verfasst von
Costanza Rodda
Steffen Hien
Ulrich Achatz
Uwe Harlander
Publikationsdatum
01.01.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Experiments in Fluids / Ausgabe 1/2020
Print ISSN: 0723-4864
Elektronische ISSN: 1432-1114
DOI
https://doi.org/10.1007/s00348-019-2825-z

Weitere Artikel der Ausgabe 1/2020

Experiments in Fluids 1/2020 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.