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Bifurcation Structure Of A Periodically Driven Bubble Oscillator Near Blake?s Critical Threshold

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Tartalom: http://real.mtak.hu/33778/
Archívum: MTA Könyvtár
Gyűjtemény: Status = Published


Type = Book Section
Cím:
Bifurcation Structure Of A Periodically Driven Bubble Oscillator Near Blake?s Critical Threshold
Létrehozó:
Hegedűs, Ferenc
Varga, Roxána
Klapcsik, Kálmán
Közreműködő:
Vad, János
Dátum:
2015
Téma:
QC03 Heat. Thermodinamics / hőtan, termodinamika
TP Chemical technology / vegyipar, vegyészeti technológia
Tartalmi leírás:
It is well-known that gas/vapour bubbles in liquids growth
indefinitely if the ambient pressure exceeds Blake?s critical
threshold. For several decades of investigations, researchers
tried to find numerical evidence for the stabilization of
such bubbles by applying a harmonically varying pressure
field on the liquid domain (ultrasonic irradiation) in this
regime, with only partial success. Since, the applied
linearization on the bubble models restricted the findings
only for small amplitude radial oscillations. Therefore, the
present paper intends to reveal the particularly complex
dynamics of a harmonically excited bubble near, but still
below Blake?s threshold. The computed solutions with a
variety of periodicity, e.g., from period 1 up to period 9,
form a well-organised structure with respect to the pressure
amplitude of the excitation, provided that the applied
frequency is higher than the first subharmonic resonance
frequency of the bubble. This predictable behaviour provides
a good basis for further investigation to find the relevant
stable oscillations beyond Blake?s threshold. Although, the
investigated model is the very simple Rayleigh?Plesset
equation, the applied numerical technique is free of the
restriction of low amplitude oscillations.
Típus:
Book Section
NonPeerReviewed
Formátum:
text
Azonosító:
Heged?s, Ferenc and Varga, Roxána and Klapcsik, Kálmán (2015) Bifurcation Structure Of A Periodically Driven Bubble Oscillator Near Blake?s Critical Threshold. In: Proceedings of Conference on Modelling Fluid Flow (CMFF'15). CFD.HU Kft., Budapest, pp. 1-8. ISBN 978-963-313-190-9
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