Thermal-Convective Instability in a Liquid Layer in a System with Rotating Pivots

The stability of the main stationary liquid motion defined by Dirichlet boundary conditions on lateral surfaces of pivots was considered for a heated layer of a viscous thermal conducting liquid periodically perforated by a set of thin pivots. It was established that at any type of perforation and exceeding the critical Rayleigh number loss of stability is monotonic. In addition, the asymptotics for the critical Rayleigh number were defined at different types of perforation of the liquid layer.