On the spatial oscillations of a horizontally heated rotating fluid. II

A weakly nonlinear theory is employed to describe the evolution of localized strong convective motions in a fluid contained in a rotating annulus of rectangular cross section subject to a radial temperature gradient along the base and insulated along the upper surfaces. Attention is given to the effect of convective motions when superimposed upon the basic flow near the inner sidewall of the annulus when a local Rayleigh number exceeds its critical value. The final steady-state motion is described in terms of convection cell width and the vertical velocity of the fluid.