Primary and secondary bifurcation in baroclinic instability

Abstract

In modelling atmospheric flows the baroclinic instability of the flow in a differentially heated rotating annulus plays a central role. This paper deals with an experimental study using LDV and flow visualization techniques. Usually the temperature difference, ΔT, was kept fixed while the angular velocity, ω, was varied. On crossing the stability boundary, the primary bifurcation, the basic flow gives way to a baroclinic wave flow. For a given annulus geometry the wave number, m, of the first wave pattern was found to be uniquely defined by ΔT. The measured critical values of ω, ω _crit, agree reasonably well with those obtained by other authors. On increasing ω above ω _crit the wave number changed, this process showing hysteresis. The situation might indicate secondary bifurcation phenomena. Flow visualization using aluminium particles shows surface flow details.