Active control of convection in a melted material layer II. Convection with a finite lower boundary

Abstract

This paper is the second part of a study of the active control of Bénard-Marangoni convection of an infinite fluid layer with a finite lower boundary. A linear proportional control method is used to perturb the lower boundary heat flux proportional to the local amplitude of a shadowgraph measurement. The influence of the boundary layer properties (thickness, thermal conductivity and diffusivity) on the active control process is analyzed. It is noticed the appearance of an isola, for a certain range of process parameters, as a primary bifurcation towards a time-dependent convection.