Output-based modal control of three-dimensional pool-boiling systems

R.W. van Gils, M.F.M. Speetjens*, Heiko J. Zwart, Henk Nijmeijer

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    4 Citations (Scopus)
    23 Downloads (Pure)


    Topic is feedback stabilisation of a nonlinear pool-boiling system in three spatial dimensions (3D). Regulation of its unstable (non-uniform) equilibria has great potential for application in micro-electronics cooling and thermal-management systems as well as for fundamental boiling experiments. Here, as a first step, stabilisation of such 3D equilibria is considered. A control law is designed that regulates the heat supply to the heater as a function of the Fourier-Chebyshev modes of its internal temperature distribution. This admits a controller that is tailored to the system dynamics, as these modes intimately relate to the physical eigenmodes. The internal temperature distribution is, similar to practical situations, estimated from a finite number of measurement positions on the heater surface by an observer. Performance of this output-based modal controller is demonstrated and analysed by simulations of the nonlinear closed-loop system. This provides first proof of principle of the proposed control strategy for the regulation of 3D boiling states.
    Original languageEnglish
    Pages (from-to)34-46
    Number of pages13
    JournalInternational journal of thermal sciences
    Publication statusPublished - Aug 2014


    • Pool boiling
    • Numerical simulation
    • Thermal management
    • Observer
    • Three-dimensional
    • Modal control
    • State feedback
    • Output-based
    • 2023 OA procedure


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