Stability of Gravity Driven Convection in a Cylindrical Porous Layer Subjected to Vibration

The linear stability theory is used to investigate analytically the effects of gravity modulation on convection in a homogeneous cylindrical porous layer heated from below. The linear stability results show that increasing the frequency of vibration stabilizes the convection. In addition the aspect ratio of the porous cylinder is shown to influence the stability of convection for all frequencies analysed. It was also observed that only synchronous solutions are possible in cylindrical porous layers, with no transition to subharmonic solutions as was the case in Govender (2005a) Transport Porous Media 59(2), 227–238] for rectangular layers or cavities.