Buoyant instability in a laterally heated vertical cylinder

This paper presents a linear stability analysis for the buoyant convection in a vertical cylinder with isothermal top and bottom walls at the same temperature and with an axisymmetric heat transfer into the liquid from the vertical cylindrical wall. Results are presented for Prandtl numbers between 0.0 and 0.1 and for two different thermal boundary conditions at the vertical wall: a prescribed parabolic temperature variation or a prescribed parabolic radial heat flux variation. The results are radically different for the two thermal boundary conditions.