Mean zonal flows excited by critical thermal convection in rotating spherical shells

Geophysical and Astrophysical Fluid Dynamics

Volumn 90, Issue 2, 1999, Pages 43-77

  Takehiro, Shin Ichi ^a   Hayashi, Yoshi Yoshi ^b  

^a KYUSHU UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

Angular momentum; Equatorial acceleration; Mean zonal flows; Rotating spherical convection

Indexed keywords

ACCELERATION; COMPUTATIONAL FLUID DYNAMICS; HEAT CONVECTION; PRANDTL NUMBER; ROTATIONAL FLOW; SPHERES;

BOUSSINESQ CONVECTION; MEAN ZONAL FLOW; ROTATING SPHERICAL SHELLS;

SHELLS (STRUCTURES);

ANGULAR MOMENTUM; EARTH ROTATION; THERMAL CONVECTION; ZONAL FLOW;

EID: 0033508875     PISSN: 03091929     EISSN: None     Source Type: Journal    
DOI: 10.1080/03091929908203692     Document Type: Article

References (27)

1. Ardes, M., Busse, F. H. and Wicht, J., " Thermal convection in rotating spherical shells," Phys. Earth Planet. Inter. 99, 55-67 (1997).
2. Belvedere, G., Paterno, L. and Stix, M., " Differential rotation set up by latitude-dependent heat transport," Geophys. Astrophys. Fluid Dynam. 14, 209-224 (1980).
3. Boubnov, B. M. and Golitsyn, G. S., Convection in Rotating Fluids, Kluwer Academic Publishers (1995).
4. Busse, F. H., " Differential rotation in stellar convection zones," Astrophys. J. 159, 629-40 (1970a).
5. Busse, F. H., " Thermal instabilities in rapidly rotating systems," J. Fluid Mech. 44, 441-460 (1970b).
6. Busse, F. H., " Differential rotation in stellar convection zones. II," Astron. Astrophys. 28, 27-37 (1973).
7. Busse, F. H., " A model of mean zonal flows in the major planets," Geophys. Astrophys. Fluid Dynam. 23, 153-74 (1983a).
8. Busse, F. H., " Convection-driven zonal flows in the major planets," PAGEOPH 121, 375-90 (1983b).
9. Chandrasekhar, S., Hydrodynamic and Hydromagnetic Stability, Oxford Univ. Press (1961).
10. Dowling, T. E. and Spiegel, E. A., " Stellar and Jovian vortices," Ann. N Y Acad. Sci. 617, 190-216 (1988).
11. Geiger, G. and Busse, F. H., " On the onset of thermal convection in slowly rotating fluid shells," Geophys. Astrophys. Fluid Dynam. 18, 147-56 (1981).
12. Gierasch, P. J., " Meridional circulation and the maintenance of the Venus atmospheric rotation," J. Atmos. Sci. 32, 1038-1044 (1975).
13. Gilman, P. A., " Linear simulations of Boussinesq convection in a deep rotating spherical shell," J. Atmos. Sci. 32, 1331-1352 (1975).
14. Gilman, P. A., " Nonlinear dynamics of Boussinesq convection in a deep rotating spherical shell I," Geophys. Astrophys. Fluid Dynam. 8, 93-136 (1977).
15. Gilman, P. A., " Nonlinear dynamics of Boussinesq convection in a deep rotating spherical shell II: effects of temperature boundary conditions," Geophys. Astrophys. Fluid Dynam. 11, 157-179 (1978a).
16. Gilman, P. A., " Nonlinear dynamics of Boussinesq convection in a deep rotating spherical shell III: effects of velocity boundary conditions," Geophys. Astrophys. Fluid Dynam. 11, 181-203 (1978b).
17. Glatzmaier, G. A., " Numerical simulations of stellar convective dynamos. 1. The model and method," J. Comp. Phys. 55, 461-484 (1984).
18. Glatzmaier, G. A. and Gilman, P. A., " Compressible convection in a rotating spherical shell. V. Induced differential rotation and meridional circulation," Astrophys. J. 256, 316-330 (1982).
19. Hide, R., " Dynamics of the atmospheres of the major planets with an appendix on the viscous boundary layer at the rigid bounding surface of an electrically-conducting rotating fluid in the presence of a magnetic field," J. Atmos. Sci. 26, 841-853 (1969).
20. Matsuda, Y., " Dynamics of the four-day circulation in the Venus atmosphere," J. Meteor. Soc. Japan, 58, 443-470 (1980).
21. Sun, Z.-P. and Schubert, G., " Numerical simulations of thermal convection in a rotating spherical fluid shell at high Taylor and Rayleigh numbers," Phys. Fluids 7, 2686-2699 (1995).
22. Takehiro, S., Ishiwatari, M., Nakajima, K. and Hayashi, Y.-Y., " Convection in a rotating cylindrical annulus with fixed heat flux boundaries," Nagare multimedia 98, http:// www.nagare.or. jp/ (1998).
23. Thompson, M. J., Toomre, J., Anderson, E. R., Antia, H. M., Berthomieu, G., Burtonclay, D., Chitre, S. M., Christensen-Dalsgaard, J., Corbard, T., DeRosa, M., Genovese, C. R., Gough, D. O., Haber, D. A., Harvey, J. W., Hill, F., Howe, R., Korzennik, S. G., Kosovichev, A. G., Leibacher, J. W., Pijpers, F. P., Provost, J. Jr., Rhodes, E. J., Schou, J., Sekii, T., Stark, P. B. and Wilson, P. R., " Differential rotation and dynamics of the solar interior," Science 272, 1300-1305 (1996).
24. Tilgner, A. and Busse, F. H., " Finite-amplitude convection in rotating spherical fluid shells," J. Fluid Mech. 332, 359-376 (1997).
25. Wilson, P. R., Burtonclay, D. and Li, Y., " On the inference of the solar internal rotation profile from frequency-splitting data," Astrophys. J. 470, 621-8 (1996).
26. Zhang, K., " Spiralling columnar convection in rapidly rotating spherical fluid shells," J. Fluid. Mech. 236, 535-556 (1992).
27. Zhang, K.-K. and Busse, F. H., " On the onset of convection in rotating spherical shells," Geophys. Astrophys. Fluid Dynm. 39, 119-47 (1987).