Proportional control of oscillatory thermocapillary convection in a toy model
2005 (English)In: European journal of mechanics. B, Fluids, ISSN 0997-7546, E-ISSN 1873-7390, Vol. 24, no 3, 296-313 p.Article in journal (Refereed) Published
Simple model equations were formulated to examine the influence of linear feedback control on oscillations in thermocapillary convection. Limiting the solutions to have a few wavenumbers and roughly assuming the other spatial profiles, the system of equations is reduced to a set of ordinary differential equations. This toy model is able to recreate basic features of the uncontrolled system such as standing/traveling wave structures and bifurcation characteristics. The control was realized by locally heating and cooling the free surface by linearly feeding back the temperature signals measured in local positions. Implementing the proportional feedback control in this toy model, we could capture some of the essential qualitative features of the influence of the control observed in the previous experiments, including the limitation of the control. The formulation of the toy model can be used to gain physical insight in the control problem.
Place, publisher, year, edition, pages
2005. Vol. 24, no 3, 296-313 p.
thermocapillary convection, feedback, control, model, bifurcation, cylindrical liquid bridges, half-zone, marangoni-convection, nonlinear control, floating zone, flow, instability, surface, steady, containers
IdentifiersURN: urn:nbn:se:kth:diva-14643DOI: 10.1016/j.euromechflu.2004.09.006ISI: 000228023600003ScopusID: 2-s2.0-14544283358OAI: oai:DiVA.org:kth-14643DiVA: diva2:332684
QC 201005252010-08-052010-08-05Bibliographically approved