This paper presents a potential energy approach for the investigation of the stability of bubbly liquids. Using the system's free energy variations with respect to the void fraction as a stability criterion for the whole system, we consider that sudden bubble expansion occurs only when the bubble cluster expansion is energetically favorable. The results obtained provide new insight into the behavior of pre-nucleated liquids when the inception point is reached as well as a simple method to estimate the energy exchanges between a bubble cluster and its environment when the kinetic energy is negligible compared to the elastic energy stored during tension and compression processes. In addition to the radius of the initial nuclei, the concentration and polydispersity are shown to exert an important influence on the response of the system after inception.
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April 2014
Research Article|
April 14 2014
Stability of bubbly liquids and its connection to the process of cavitation inception
D. Fuster;
D. Fuster
a)
1CNRS, UMR 7190,
Institut Jean Le Rond d’Alembert
, F-75005 Paris, France
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K. Pham;
K. Pham
2
Unité de Mécanique
, École Nationale Supérieure de Techniques Avancés, 91761 Palaiseau, France
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S. Zaleski
S. Zaleski
3
UPMC Univ Paris 06
, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005 Paris, France
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D. Fuster
1,a)
K. Pham
2
S. Zaleski
3
1CNRS, UMR 7190,
Institut Jean Le Rond d’Alembert
, F-75005 Paris, France
2
Unité de Mécanique
, École Nationale Supérieure de Techniques Avancés, 91761 Palaiseau, France
3
UPMC Univ Paris 06
, UMR 7190, Institut Jean Le Rond d’Alembert, F-75005 Paris, France
a)
Electronic mail: [email protected]
Physics of Fluids 26, 042002 (2014)
Article history
Received:
November 24 2013
Accepted:
March 20 2014
Citation
D. Fuster, K. Pham, S. Zaleski; Stability of bubbly liquids and its connection to the process of cavitation inception. Physics of Fluids 1 April 2014; 26 (4): 042002. https://doi.org/10.1063/1.4870820
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