Tubulence, waves, and jets in a differentially heated rotating annulus experiment

Physics of Fluids

Volumn 20, Issue 12, 2008, Pages

  Wordsworth, Robin D ^a   Read, P L ^a   Yamazaki, Y H ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ENERGY TRANSFER; SPECTRUM ANALYSIS; TEMPERATURE;

BAROCLINIC INSTABILITY; DIRECT ENERGY TRANSFERS; LABORATORY STUDIES; LARGE-SCALE FLOWS; LOW-TEMPERATURE DIFFERENCE; ROTATING ANNULUS; TURBULENT CASCADE; WAVENUMBER SPACES;

PLASMA JETS;

EID: 58249084803     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2990042     Document Type: Article

References (32)

1. R. Salmon, Lectures on Geophysical Fluid Dynamics (Oxford University Press, New York, 1998).
2. R. Fjortoft, "On the changes in the spectral distribution of kinetic energy for two-dimensional nondivergent flow," TellusTELLAL0040-2826 5, 225 (1953).
3. A. P. Ingersoll, P. J. Gierasch, D. Banfield, A. R. Vasavada, and The Galileo Imaging Team, "Moist convection as an energy source for the large-scale motions in Jupiter's atmosphere," Nature (London)NATUAS0028-083610.1038/35001021 403, 630 (2000).
4. P. B. Rhines, "Waves and turbulence on a beta-plane," J. Fluid Mech.JFLSA70022-112010.1017/S0022112075001504 69, 417 (1975).
5. G. P. Williams, "Planetary circulations: Barotropic representations of jovian and terrestrial turbulence," J. Atmos. Sci. 35 1399 1978
6. A. Chekhlov, S. Orszag, S. Sukoriansky, B. Galperin, and I. Staroselsky, "The effect of small-scale forcing on large-scale structures in two-dimensional flows," Physica DPDNPDT0167-278910.1016/ 0167-2789(96)00102-9 98, 321 (1996).
7. H.-P. Huang and W. Robinson, "Two-dimensional turbulence and persistent zonal jets in a global barotropic model," J. Atmos. Sci.JAHSAK0022-492810.1175/1520-0469(1998)055<0611:TDTAPZ> 2.0.CO;2 55, 611(1998).
8. G. K. Vallis and M. E. Maltrud, "Generation of mean flows and jets on a beta plane and over topography," J. Phys. Oceanogr.JPYOBT1520-048510.1175/ 1520-0485(1993)023<1346:GOMFAJ>2.0.CO;2 23, 1346 (1993).
9. S. Sukoriansky, B. Galperin, and N. Dikovskaya, "Universal spectrum of two-dimensional turbulence on a rotating sphere and some basic features of atmospheric circulation on giant planets," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.89.124501 89, 124501 (2002).
10. B. Galperin, S. Sukoriansky, N. Dikovskaya, P. L. Read, Y. H. Yamazaki, and R. Wordsworth, "Anisotropic turbulence and zonal jets in rotating flows with a beta-effect," Nonlinear Processes Geophys.ZZZZZZ1023-5809 13, 83 (2006).
11. P. L. Read, Y. H. Yamazaki, S. R. Lewis, P. D. Williams, K. Miki-Yamazaki, J. Sommeria, H. Didelle, and A. Fincham, "Jupiter and Saturn's convectively driven jets in the laboratory," Geophys. Res. Lett.GPRLAJ0094-827610.1029/2004GL020106 31, L22701, DOI: 10.1029/ 2004GL020106 (2004).
12. R. Salmon, "Two-layer quasigeostrophic turbulence in a simple special case," Geophys. Astrophys. Fluid Dyn.GAFDD30309-192910.1080/ 03091928008241178 15, 167 (1978).
13. R. L. Panetta, "Zonal jets in wide baroclinically unstable regions: Persistence and scale selection," J. Atmos. Sci.JAHSAK0022-492810.1175/1520-0469(1993)050<2073:ZJIWBU>2.0.CO;2 50, 2073(1993).
14. R. Hide, "An experimental study of thermal convection in a rotating fluid," Philos. Trans. R. Soc. London, Ser. APTRMAD0962-842810.1098/ rsta.1958.0004 250, 442 (1958).
15. R. Hide, S. R. Lewis, and P. L. Read, "Sloping convection: A paradigm for large-scale waves and eddies in planetary atmospheres," ChaosCHAOEH1054-150010.1063/1.166000 4, 135 (1994).
16. P. J. Mason, "Baroclinic waves in a container with sloping endwalls," Philos. Trans. R. Soc. London, Ser. APTRMAD0962-842810.1098/rsta.1975.0032 278, 397 (1975).
17. M. E. Bastin and P. L. Read, "Experiments on the structure of baroclinic waves and zonal jets in an internally heated, rotating, cylinder of fluid," Phys. FluidsPHFLE61070-663110.1063/1.869530 10, 374 (1998).
18. A. M. Fincham and G. R. Spedding, "Low cost, high resolution DPIV for measurement of turbulent fluid flow," Exp. FluidsEXFLDU0723-486410.1007/s003480050135 23, 449 (1997).
19. P. Hignett, A. A. White, R. D. Carter, W. D. N. Jackson, and R. M. Small, "A comparison of laboratory measurements and numerical simulations of baroclinic wave flows in a rotating cylindrical annulus," Q. J. R. Meteorol. Soc.QJRMAM0035-9009 467, 131 (1985).
20. S. A. Condie and P. B. Rhines, "A convective model for the zonal jets in the atmospheres of Jupiter and Saturn," Nature (London)NATUAS0028-083610.1038/367711a0 367, 711 (1994).
21. P. L. Read, Y. H. Yamazaki, S. R. Lewis, P. D. Williams, and R. D. Wordsworth, "Dynamics of convectively driven banded jets in the laboratory," J. Atmos. Sci.JAHSAK0022-492810.1175/2007JAS2219.1 64, 4031 (2007).
22. D. G. Andrews, C. B. Leovy, and J. R. Holton, Middle Atmosphere Dynamics (Academic, New York, 1987).
23. P. L. Read, "Finite-amplitude, neutral baroclinic eddies and mean flows in an internally heated, rotating fluid: 2. Effects of spatially varying N2," Dyn. Atmos. OceansDAOCDC0377-026510.1016/ 0377-0265(88)90001-2 11, 211 (1988).
24. G. B. Arfken and H. J. Weber, Mathematical Methods for Physicists (Harcourt, New York, 2001).
25. S. Sukoriansky, N. Dikovskaya, and B. Galperin, "On the arrest of inverse energy cascade and the Rhines scale," J. Atmos. Sci.JAHSAK0022-492810.1175/JAS4013.1 64, 3312 (2007).
26. M. S. Longuet-Higgins and A. E. Gill, "Resonant interaction between planetary waves," Proc. R. Soc. London, Ser. APRLAAZ1364-5021 299, 120 (1967).
27. A. C. Newell, "Rossby wave packet interactions," J. Fluid Mech.JFLSA70022-112010.1017/S0022112069001108 35, 255 (1969).
28. S. Lee and H.-K. Kim, "The dynamical relationship between subtropical and eddy-driven jets," J. Atmos. Sci.JAHSAK0022-492810.1175/1520-0469(2003)060<1490:TDRBSA>2.0.CO;2 60, 1490 (2003).
29. T. Schneider and C. C. Walker, "Self-organization of atmospheric macroturbulence into critical states of weak nonlinear eddy-eddy interactions," J. Atmos. Sci.JAHSAK0022-492810.1175/JAS3699.1 63, 1569 (2006).
30. P. A. O'Gorman and T. Schneider, "Recovery of atmospheric flow statistics in a general circulation model without nonlinear eddy-eddy interactions," Geophys. Res. Lett.GPRLAJ0094-827610.1029/ 2007GL031779 34, L22801, DOI: 10.1029/2007GL031779 (2007).
31. A. D. D. Genio, J. M. Barbara, J. Ferrier, A. P. Ingersoll, R. A. West, A. R. Vasavada, J. Spitale, and C. C. Porco, "Saturn eddy momentum fluxes and convection: First estimates from Cassini images," IcarusICRSA50019-1035 189, 479 (2007).
32. "Eddy" is defined here in the standard way as a deviation from the zonal (axisymmetric) flow profile. Thus any quantity f can be decomposed into zonal and eddy components: f(r,θ,z)=f(r,z)+ ta;,z)′.