Control of Marangoni Convection in a Variable-Viscosity Fluid Layer with Deformable Surface

Seripah Kechil, Ishak Hashim
The effectiveness of a proportional feedback control to suppress the Marangoni instability in a variable-viscosity fluid layer with a deformable free upper surface is investigated. Viscosity variation and deformable free surface have destabilizing effects on the stability limit. The stability thresholds for the short-scale mode are strongly dependent on viscosity variation and controller gain while the stability thresholds for the long-scale mode are greatly influenced by gravity and surface
more » ... ormation. The feedback control strategy through thermal perturbation in the boundary data is shown effective in suppressing the Marangoni convection and delaying the onset of instability.