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The onset of convection in,uids conned,in a vertical rotating cylindrical annulus with radial gravity and heated from the inside is analyzed. Solutions to the eigenvalue problem are found numerically for at lids and either no-slip or stress-free boundary conditions on these surfaces. Except in special cases occurring with the latter boundary conditions all critical modes precess in the rotating frame. The critical Rayleigh number and the corresponding precession frequency are computed for low-Prandtl number uids and both types of boundary conditions as a function of the Taylor number, the radius ratio and the aspect ratio, and the critical modes identied and compared. c 1999 The Japan Society of Fluid Mechanics and Elsevier Science B.V. All rights reserved.

Onset of convection in a rotating annulus with radial gravity and heating