Feedback Stabilisation Of Two-dimensional
Non-uniform Pool-boiling States
Author(s)
R. W. van Gils, M. F. M. Speetjens & H. Nijmeijer
Abstract
In this paper the feedback stabilisation of a two-dimensional pool-boiling system is
discussed. The pool-boiling system is modelled by a so-called heater-only model,
which consists of a Partial Differential Equation (PDE) which describes the heaters
internal temperature field and its (nonlinear) boundary conditions given by the heat
exchange between fluid and heater at the top and the heat supply at the bottom of
the heater. The pool-boiling system is extended with an adjustable heat supply at
the bottom of the heater, by which the unstable transition boiling regime is to be
stabilised. Thereto, a feedback law, based on the Chebyshev-Fourier-cosine modes
of the spectral discretisation of the temperature profile inside the heater, is applied
to the system. The control parameters of this feedback law are designed such that
satisfactory closed-loop dynamics are obtained. Using this specific feedback law,
the control strategy is tested by simulations of the closed-loop pool-boiling system.
Keywords: boiling, feedback, stabilisation, modal control, transition boiling, pool
boiling, numerical simulation.
1 Introduction
Pool boiling may serve as physical model for cooling applications using boiling
heat transfer. Boiling heat transfer is emerging as novel cooling technique, since it
affords cooling capacities substantially beyond that of convential methods, which
are based on air-cooling and single phase liquid cooling, see Mudawar [1], Khan
et al [2] and Brooks et al [3]. Therefore, controlling the dynamical behaviour of
pool boiling systems is the principal subject of investigations in this study.
A pool-boiling system is typically a system where a heater surface is submerged
in a pool of saturated liquid. The heater surface is the fluid-heater interface where
Keywords
boiling, feedback, stabilisation, modal control, transition boiling, pool
boiling, numerical simulation
Related Book
Other papers in this volume
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