Effects of thermal boundary condition on convection in rapidly rotating spherical shells

Theoretical and Applied Mechanics

Volumn 48, Issue , 1999, Pages 415-421

  Takehiro, Shin Ichi ^a   Ishiwatari, Masaki ^b   Nakajima, Kensuke ^a   Hayashi, Yoshi Yuki ^b  

^a KYUSHU UNIVERSITY   (Japan)

^b HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

SPHERICAL SHELLS; THERMAL BOUNDARY CONDITION;

ASTROPHYSICS; HEAT CONVECTION; HEAT FLUX; STATISTICAL MECHANICS; TWO DIMENSIONAL;

ATMOSPHERIC THERMODYNAMICS;

EID: 0033308632     PISSN: 02856042     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (16)

1. Busse, F. H., Thermal instabilities in rapidly rotating systems. J. Fluid Mech. 44 (1970), pp.441- 460
2. Jakeman, E., Convective instability in fluids of high thermal diffusivity. Phys. Fluids, 11 (1908), pp.10-14
3. Chapman,C.J. and Proctor,M.R.E., Nonlinear Rayleigh-Benard convection between poorly conducting boundaries. J. Fluid Mech. 101 (1980), pp.759-782
4. Hewitt, J. M., McKenzie, D. P. and Weiss, N. O., Large aspect ratio cells in two-dimensional thermal convection. Earth Planet. Sci. Let. 51 (1980), pp.370-380
5. Ishiwatari, M., Takehiro, S. and Hayashi, Y.-Y., The effects of thermal conditions on the cell sizes of two-dimensional convection. J. Fluid Mech. 281 (1994), pp.33-50
6. Busse, F. H., Asymptotic theory of convection in a rotating, cylindrical annulus. J. Fluid Mech. 173 (1986), pp.545-556
7. Busse, F. H. and Or, A. C., Convection in a rotating cylindrical annulus: thermal Rossby waves. J. Fluid Mech. 166 (1986), pp.173-187
8. Brummell, N. H. and Hart, J. E., High Rayleigh number beta-convection. Geophys. Astrophys. Fluid Dyn. 68 (1993), pp.85-114
9. Dowling, T. E., Rotating Rayleigh-Benard convection with fixed flux boundaries. Summer Study Program in Geophysical Fluid Dynamics, Woods Hole Oceanographic Institution Technical Report (1988), pp.230-247
10. Arakawa, A., Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I. J. Comp. Phys., 1 (1960), pp.119-143
11. Takehiro, S., Ishiwatari, M., Nakajima, K. and Hayashi,Y.-Y., Convection in a rotating cylindrical annulus with fixed heat flux boundaries. Nagare multimedia 98 (1998), http://www.nagare.or.jp/mm/98/takehiro/
12. Zhang, K.-K., Spiralling columnar convection in rapidly rotating spherical fluid shells. J. Fluid Mech. 236 (1992), pp.535-556
13. Orr, W. M. F., The stability or instability of the steady motions of a perfect liquid and of a viscous liquid. Proc. Roy. Irish Acad. A27 (1907), pp.9-138
14. Lindzen, R. S., Instability of plane parallel shear flow. PAGEOH 126 (1988), pp.103-121
15. Drew, S. J., Jones, C. A. and Zhang, K., Onset of convection in a rapidly rotating compressible fluid spherical shell. Geophys. Astrophys. Fluid Dyn. 80 (1995), pp.241-254
16. Zhang, K.-K. and Busse, F. H., On the onset of convection in rotation spherical shells. Geophys. Astrophys. Fluid Dyn. 39 (1987), pp.119-147