The influence of Ekman boundary layers on rotating convection

References

• Busse , F. H. 1970 . “Thermal instabilities in rapidly rotating systems” . J. Fluid Mech. , 44 : 441 – 460 .
   Web of Science ®Google Scholar
• Busse , F. H. “Thermal convection in rotating systems” . Proc. 9th U.S. National Congress of Appl. Mech. pp. 299 – 305 . New York : ASME .
   Google Scholar
• Carrigan , C. R. and Busse , F. H. 1983 . “An experimental and theoretical investigation of the onset of convection in rotating spherical shells” . J. Fluid Mech. , 126 : 287 – 305 .
   Web of Science ®Google Scholar
• Chandrasekhar , S. 1961 . Hydrodynamic and hydromagnetic stability , Oxford : Clarendon Press .
   Google Scholar
• Chamberlain , J. A. and Carrigan , C. R. 1986 . “An experimental investigation of convection in a rotating sphere subject to time varying thermal boundary conditions” . Geophys. Astrophys. Fluid Dynam. , 41 : 17 – 41 .
   Google Scholar
• Cordero , S. and Busse , F. H. 1992 . “Experiments on convection in rotating spherical shells” . Geophys. Res. Lett. , in press
   PubMed Web of Science ®Google Scholar
• Fearn , D. R. , Roberts , P. H. and Soward , A. M. 1988 . “Convection, Stability and the dynamo” . In Energy, Stability and Convection , Edited by: Straughan , B. and Galdi , P. 60 – 324 . Longman .
   Google Scholar
• Gilman , P. A. 1975 . “Linear simulations of Boussinesq convection in a deep rotating spherical shell” . J. Atmos. Sci. , 32 : 1331 – 1352 .
   Web of Science ®Google Scholar
• Glatzmaier , G. A. 1983 . “Numerical simulations of stellar convective dynamos. I. The model and method” . J. Comp. Phys. , 55 : 461 – 484 .
   Web of Science ®Google Scholar
• Gubbins , D. and Roberts , P. H. 1987 . “Magnetohydrodynamics of the earth's core” . In Geomagnetism Edited by: Jacobs , J. A. Vol. 2 ,
   Google Scholar
• Hart , J. E. , Glatzmaier , G. A. and Toomre , J. 1986 . “Space-laboratory and numerical simulations of thermal convection in a rotating hemispherical shell with radial gravity” . J. Fluid Mech. , 173 : 519 – 544 .
   Web of Science ®Google Scholar
• Hollerbach , R. 1992 . “A direct spectral solution of the Ekman and Stewartson layers in a rotating spherical shell” (preprint)
   Google Scholar
• Roberts , P. H. 1965 . “On the thermal instability of a highly rotating fluid sphere” . Astrophys. J. , 141 : 240 – 250 .
   Web of Science ®Google Scholar
• Roberts , P. H. 1968 . “On the thermal instability of a self-gravitating fluid sphere containing heat sources” . Phil. Trans. R. Soc. Lond. , A263 : 93 – 117 .
   Web of Science ®Google Scholar
• Soward , A. M. 1977 . “On the finite amplitude instability of a rotating fluid sphere” . Geophys. Astrophys. Fluid Dynam. , 9 : 19 – 74 .
   Google Scholar
• Yano , J.-I. 1992 . “Asymptotic theory of thermal convection in the rapidly rotating systems” . J. Fluid Mech. , 243 : 103 – 131 .
   Web of Science ®Google Scholar
• Zhang , K. 1992a . “Spiralling columnar convection in rapidly rotating spherical fluid shells” . J. Fluid Mech. , 236 : 535 – 556 .
   Web of Science ®Google Scholar
• Zhang , K. 1992b . “Convection in a rapidly rotating spherical fluid shell at infinite Prandtl number: Transition to vacillating flows” . Phys. Earth Planet. Inter. , 72 : 236 – 248 .
   Web of Science ®Google Scholar
• Zhang , K. 1993 . “On equatorially trapped boundary inertial waves” . J. Fluid Mech. , 248 : 203 – 217 .
   Web of Science ®Google Scholar
• Zhang , K. and Busse , F. 1987 . “On the onset of convection in rotating spherical shells” . Geophys. Astrophys. Fluid Dynam. , 39 : 119 – 147 .
   Web of Science ®Google Scholar