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Periodically-forced density wave oscillations in boiling flow at low forcing frequencies: Nonlinear dynamics and control issues
Published in Elsevier Ltd
2016
Volume: 140
   
Pages: 123 - 133
Abstract
In this paper, we investigate the effect of a periodic perturbation of total pressure drop on density wave oscillations (DWOs) in a boiling channel (BC). The focus is on the nonlinear dynamics and control of the DWO at low forcing frequencies ff+ for a range of inlet subcooling number Nsub. At a relatively high Nsub, the system exhibits frequency entrainment. Relying on the harmonic balance applied to the linearized model for DWOs, semi-analytical solutions can successfully explain the numerically-detected harmonic entrainment. The effect of ff+ and Nsub on the periodically-perturbed DWOs has been studied. We also propose a nonlinear model predictive controller (NMPC) to control the periodically-forced DWOs. The performance of NMPC was found to be improving on increasing Nsub and on decreasing ff+ in 0≤. ff+<2. fn+ (fn+ is natural frequency), except the regions of entrainment. Both the numerical simulations and the semi-analytical solutions consistently predict the control effort that also varies with ff+ and Nsub. © 2015 Elsevier Ltd.
About the journal
JournalData powered by TypesetChemical Engineering Science
PublisherData powered by TypesetElsevier Ltd
ISSN00092509
Open AccessNo
Concepts (12)
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    Dynamics
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    Harmonic analysis
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    Two phase flow
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    Density wave oscillation
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    Forcing frequencies
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    FREQUENCY ENTRAINMENT
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    HARMONIC BALANCE
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    NONLINEAR DYNAMICS AND CONTROLS
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    Periodic perturbation
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    SEMI-ANALYTICAL SOLUTION
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    TOTAL PRESSURE DROP
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    Model predictive control