Experiments on double diffusive convection

Andreas Tilgner

doi:10.5802/crphys.194

Article de recherche

Experiments on double diffusive convection
[Expériences sur la convection doublement diffusive]

Andreas Tilgner ¹

¹ Institute of Astrophysics and Geophysics, University of Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany

Comptes Rendus. Physique, Online first (2024), pp. 1-18.

Résumé
Abstract

La convection doublement diffusive est une forme de convection qui a été étudiée dans le passé surtout pour son application océanographique et qui reçoit de plus en plus d’attention dans le contexte de la convection dans les noyaux planétaires. Cette revue est consacrée aux mesures des propriétés de transport de la convection doublement diffusive qui ont été effectuées dans deux types d’expériences : soit l’expérience démarre de deux couches séparées par une discontinuité, soit elle étudie la convection à l’intérieur de gradients uniformes. Les expériences les plus récentes ont été réalisées dans le régime des doigts de salinité dans lequel la composante qui diffuse lentement entraîne le mouvement alors que la composante qui diffuse rapidement stabilise le fluide et cette revue se concentre sur cette configuration.

Double diffusive convection is a form of convection that was studied in the past mostly for its application in oceanography and which receives increasing attention in the context of planetary cores. This review will focus on measurements of transport properties of double diffusive convection which were performed in two types of experiments: the experiments either start from two layers separated by a sharp interface, or they investigate convection within uniform gradients. The most recent experiments were done on the finger regime in which the slowly diffusing component drives the motion while the rapidly diffusing component stabilizes the fluid and this review is restricted to this configuration.

Reçu le : 2024-02-13
Révisé le : 2024-07-04
Accepté le : 2024-07-10
Première publication : 2024-09-30

DOI : 10.5802/crphys.194

Keywords: convection, double diffusive convection, salt fingers, double diffusive instability, layering
Mot clés : convection, convection double diffusive, doigts de sel, instabilité double diffusive, couches de mélange

Affiliations des auteurs :

Andreas Tilgner ¹

¹ Institute of Astrophysics and Geophysics, University of Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

@article{CRPHYS_2024__25_S3_A5_0,
     author = {Andreas Tilgner},
     title = {Experiments on double diffusive convection},
     journal = {Comptes Rendus. Physique},
     publisher = {Acad\'emie des sciences, Paris},
     year = {2024},
     doi = {10.5802/crphys.194},
     language = {en},
     note = {Online first},
}

TY  - JOUR
AU  - Andreas Tilgner
TI  - Experiments on double diffusive convection
JO  - Comptes Rendus. Physique
PY  - 2024
PB  - Académie des sciences, Paris
N1  - Online first
DO  - 10.5802/crphys.194
LA  - en
ID  - CRPHYS_2024__25_S3_A5_0
ER  -

%0 Journal Article
%A Andreas Tilgner
%T Experiments on double diffusive convection
%J Comptes Rendus. Physique
%D 2024
%I Académie des sciences, Paris
%Z Online first
%R 10.5802/crphys.194
%G en
%F CRPHYS_2024__25_S3_A5_0

Andreas Tilgner. Experiments on double diffusive convection. Comptes Rendus. Physique, Online first (2024), pp. 1-18. doi : 10.5802/crphys.194.

Bibliographie
Cité par

[1] R. Krishnamurti Double-diffusive transport in laboratory thermohaline staircases, J. Fluid Mech., Volume 483 (2003), pp. 287-314 | DOI

[2] Y. Yang; R. Verzicco; D. Lohse Scaling laws and flow structures of double diffusive convection in the finger regime, J. Fluid Mech., Volume 802 (2016), pp. 667-689 | DOI

[3] Junyi Li; Yantao Yang On the wall-bounded model of fingering double diffusive convection, J. Fluid Mech., Volume 973 (2023), A37 | DOI

[4] A. B. Tsinober; Y. Yahalom; D. J. Shlien A point source of heat in a stable salinity gradient, J. Fluid Mech., Volume 135 (1983), pp. 199-217 | DOI

[5] Ross W. Griffiths; Ali A. Bidokhti Interleaving intrusions produced by internal waves: a laboratory experiment, J. Fluid Mech., Volume 602 (2008), pp. 219-239 | DOI

[6] B. R. Ruddick; J. S. Turner The vertical length scale of double-diffusive intrusions, Deep-Sea Res., Part A, Volume 26 (1979) no. 8, pp. 903-913 | DOI

[7] R. Krishnamurti Double-diffusive interleaving on horizontal gradients, J. Fluid Mech., Volume 558 (2006), pp. 113-131 | DOI

[8] F. Heslot; B. Castaing; A. Libchaber Transitions to turbulence in helium gas, Phys. Rev. A, Volume 36 (1987) no. 12, pp. 5870-5873 | DOI

[9] A. Belmonte; A. Tilgner; A. Libchaber Boundary layer length scales in thermal turbulence, Phys. Rev. Lett., Volume 70 (1993), pp. 4067-4070 | DOI

[10] J. J. Niemela; L. Skrbek; K. R. Sreenivasan; R. J. Donnelly Turbulent convection at very high Rayleigh numbers, Nature, Volume 404 (2000), pp. 837-840 | DOI

[11] R. DuPuits; C. Resagk; A. Tilgner; F. H. Busse; A. Thess Structure of thermal boundary layers in turbulent Rayleigh–Bénard convection, J. Fluid Mech., Volume 572 (2007), pp. 231-254 | DOI

[12] P.-E. Roche The ultimate state of convection: a unifying picture of very high Rayleigh numbers experiments, New J. Phys., Volume 22 (2020) no. 7, 073056 | DOI

[13] Timour Radko Double-Diffusive Convection, Cambridge University Press, 2013 | DOI

[14] E. Hage; A. Tilgner High Rayleigh number convection with double diffusive fingers, Phys. Fluids, Volume 22 (2010), 076603 | DOI

[15] M. E. Stern Collective instability of salt fingers, J. Fluid Mech., Volume 35 (1969), pp. 209-218 | DOI

[16] J. Y. Holyer On the collective instability of salt fingers, J. Fluid Mech., Volume 110 (1981), pp. 195-207 | DOI

[17] J. S. Turner Salt fingers across a density interface, Deep-Sea Res., Volume 14 (1967), pp. 499-611 | DOI

[18] M. E. Stern; J. S. Turner Salt fingers and convecting layers, Deep-Sea Res., Part A, Volume 16 (1969) no. 5, pp. 497-511 | DOI

[19] P. F. Linden On the structure of salt fingers, Deep-Sea Res., Volume 20 (1973), pp. 325-340 | DOI

[20] D. J. Baker A technique for the precise measurement of small fluid velocities, J. Fluid Mech., Volume 26 (1966), pp. 573-575 | DOI

[21] R. W. Schmitt Flux measurements on salt fingers at an interface, J. Mar. Res., Volume 37 (1979) no. 3, pp. 419-436

[22] J. Taylor; P. Bucens Laboratory experiments on the structure of salt fingers, Deep-Sea Res., Volume 36 (1989) no. 11, pp. 1675-1704 | DOI

[23] T. J. McDougall; J. R. Taylor Flux measurements across a finger interface at low values of the stability ratio, J. Mar. Res., Volume 42 (1984), pp. 1-14 | DOI

[24] T. G. L. Shirtcliffe; J. S. Turner Observations of the cell structure of salt fingers, J. Fluid Mech., Volume 41 (1970), pp. 707-719 | DOI

[25] R. B. Lambert; J. W. Demenkow On the vertical transport due to fingers in double diffusive convection, J. Fluid Mech., Volume 54 (1972) no. 4, pp. 627-640 | DOI

[26] J. R. Taylor; G. Veronis Experiments on double-diffusive sugar-salt fingers at high stability ratio, J. Fluid Mech., Volume 321 (1996), pp. 315-333 | DOI

[27] Colin Y. Shen Heat-salt finger fluxes across a density interface, Phys. Fluids, Volume 5 (1993) no. 11, pp. 2633-2643 | DOI

[28] Richard M. Heavers; Liza A. Colucci Sugar Fingers and Double-Diffusive Convection, J. Chem. Educ., Volume 86 (2009) no. 11, 1326 | DOI

[29] B. R. Ruddick; T. G. L. Shirtcliffe Data for double diffusers: Physical properties of aqueous salt-sugar solutions, Deep-Sea Res., Part A, Volume 26 (1979) no. 7, pp. 775-787 | DOI

[30] H. Stommel; A. B. Arons; D. Blanchard An oceanographical curiosity: the perpetual salt fountain, Deep-Sea Res., Volume 3 (1956) no. 2, pp. 152-153 | DOI

[31] R. W. Schmitt The Salt Finger Experiments of Jevons (1857) and Rayleigh (1880), J. Phys. Oceanogr., Volume 25 (1995) no. 1, pp. 8-17 | DOI

[32] Richard M. Heavers The salt fountain, Phys. Teach., Volume 32 (1994) no. 9, pp. 524-525 | DOI

[33] John R. Taylor Anisotropy of Salt Fingers, J. Phys. Oceanogr., Volume 23 (1993) no. 3, pp. 554-565 | DOI

[34] M. G. Wells; R. W. Griffiths; J. S. Turner Generation of density fine structure by salt fingers in a spatially periodic shear, J. Geophys. Res. Oceans, Volume 106 (2001) no. C4, pp. 7027-7036 | DOI

[35] M. G Wells; R. W Griffiths Localized stirring in a field of salt-fingers, Dyn. Atmos. Oceans, Volume 35 (2002) no. 4, pp. 327-350 | DOI

[36] M. G. Wells; R. W. Griffiths Interaction of salt finger convection with intermittent turbulence, J. Geophys. Res. Oceans, Volume 108 (2003) no. C3, 25 | DOI

[37] R. Krishnamurti; Y. Zhu Double-diffusive convection with imposed vertical mass flux, J. Mar. Res., Volume 48 (1990), pp. 89-108 | DOI

[38] R. Krishnamurti Heat, salt and momentum transfer in a laboratory thermohaline staircase, J. Fluid Mech., Volume 638 (2009), pp. 491-506 | DOI

[39] R. J. Goldstein; H. D. Chiang; D. L. See High-Rayleigh-number convection in a horizontal enclosure, J. Fluid Mech., Volume 213 (1990), pp. 111-126 | DOI

[40] R. F. Probstein Physicochemical Hydrodynamics. An introduction, John Wiley & Sons, 1994 | DOI

[41] H. D. Chiang; R. J. Goldstein Application of the Electrochemical Mass Transfer Technique to the study of Bouyancy-driven Flows, Transport Phenomena in Heat and Mass Transfer (J. A. Reizes, ed.), Volume 1, Elsevier (1992), pp. 1-25

[42] R. W. Schmitt Thermohaline convection at density ratios below one: A new regime for salt fingers, J. Mar. Res., Volume 69 (2011), pp. 779-795 | DOI

[43] A. Rosenthal; K. Lüdemann; A. Tilgner Staircase formation in unstably stratified double diffusive finger convection, Phys. Fluids, Volume 34 (2022), 116605 | DOI

[44] M. Kellner; A. Tilgner Transition to finger convection in double-diffusive convection, Phys. Fluids, Volume 26 (2014), 094103 | DOI

Cité par Sources :

Commentaires - Politique