Observations on the dynamics of bubble cluster in an ultrasonic field

Behnia, S.; Zahir, Hina; Yahyavi, Mohammad; Barzegar, Ali; Mobadersani, F.

doi:10.1007/s11071-012-0734-2

Cited by 22 publications

(20 citation statements)

References 58 publications

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“…The accumulated knowledge of this nonlinear behavior has been summarized in many reviews [18][19][20] and papers [1,[21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36]. The most important findings are the existence of period-doubling cascades in the bifurcation structure [1,21,30,31,35], the appearance of resonance horns in the amplitude-frequency plane of the driving [24,27,34] or the alternation of chaotic and periodic windows [21,23,33].…”

Section: Introductionmentioning

confidence: 99%

Classification of the bifurcation structure of a periodically driven gas bubble

Varga

Hegedűs

2016

Nonlinear Dyn

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The bifurcation structure of a periodically driven spherical gas/vapour bubble is examined by means of methods of nonlinear analysis. The study of Behnia and his coworkers [1] revealed that the bifurcation structures with the pressure amplitude of the excitation as control parameter are structurally similar provided that R E ω is kept constant. In the present paper, this problem is revisited. Analytical and numerical investigations of the bubble oscillator, which is the Keller-Miksis equation, are presented. It is shown that the validity range of Behnia's condition is governed by the viscosity and the surface tension, and holds only for relatively large bubbles. In water, the effect of viscosity is negligible, and the surface tension plays significant role at bubble size lower than approximately 5 µm.

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Section: Introductionmentioning

confidence: 99%

Classification of the bifurcation structure of a periodically driven gas bubble

Varga

Hegedűs

2016

Nonlinear Dyn

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“…This method is simple and easy to implement experimentally. It is essential to consider the bubble-bubble interaction in choosing the control parameter since the bubble pulsation is affected by interacting with the surrounding bubbles [65,66]. In general, the introduced method can be used for studying the behavior of the cluster with a large number of bubbles.…”

Section: Discussionmentioning

confidence: 99%

Effect of magnetic field on the radial pulsations of a gas bubble in a non-Newtonian fluid

Behnia

Mobadersani

Yahyavi

et al. 2015

Chaos, Solitons & Fractals

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a b s t r a c tDynamics of acoustically driven bubbles' radial oscillations in viscoelastic fluids are known as complex and uncontrollable phenomenon indicative of highly active nonlinear as well as chaotic behavior. In the present paper, the effect of magnetic fields on the non-linear behavior of bubble growth under the excitation of an acoustic pressure pulse in non-Newtonian fluid domain has been investigated. The constitutive equation [Upper-Convective Maxwell (UCM)] was used for modeling the rheological behaviors of the fluid. Due to the importance of the bubble in the medical applications such as drug, protein or gene delivery, blood is assumed to be the reference fluid. It was found that the magnetic field parameter (B) can be used for controlling the nonlinear radial oscillations of a spherical, acoustically forced gas bubble in nonlinear viscoelastic media. The relevance and importance of this control method to biomedical ultrasound applications were highlighted. We have studied the dynamic behavior of the radial response of the bubble before and after applying the magnetic field using Lyapunov exponent spectra, bifurcation diagrams and time series. A period-doubling bifurcation structure was predicted to occur for certain values of the parameters effects. Results indicated its strong impact on reducing the chaotic radial oscillations to regular ones.

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“…If we know the surface tension of two-phase matter, we can use the harmonic averaging equation to find the interfacial tension between the two phases, and the harmonic average equation is mainly applied to the interfacial tension between low energy substances (such as polymers, organic liquids, water, etc.) [7]. The additional pressure on the surface of the convex liquid surface is [8]:…”

Section: Stress Analysis Of Water Droplet Wallmentioning

confidence: 99%

Dynamic Study of Water Droplets in Two Phase Liquid by Ultrasound

Gao¹,

An²

2018

Proceedings of the 2018 Joint International Advanced Engineering and Technology Research Conference (JIAET 2018)

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Abstract. In this paper, the dynamic equation of the simplified model of dispersed droplets in two phase liquid under ultrasonic excitation is derived based on the derivation method of cavitation bubble motion equation. The influence of different parameters on the radius of droplet under ultrasonic action is obtained by MATLAB methods. The results show that ultrasonic wave velocity has very little effect on the variation of c radius in different dispersed phase liquid. The smaller the liquid density is, the larger the radius of water-drop grows. The larger the hydrostatic pressure is, the harder the volume of water-drop will change. The theoretical basis for further study on the mechanism of ultrasonic effect on the reverse phase emulsion is established through the exploration of the change of water-drop radius.

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Observations on the dynamics of bubble cluster in an ultrasonic field

Cited by 22 publications

References 58 publications

Classification of the bifurcation structure of a periodically driven gas bubble

Classification of the bifurcation structure of a periodically driven gas bubble

Effect of magnetic field on the radial pulsations of a gas bubble in a non-Newtonian fluid

Dynamic Study of Water Droplets in Two Phase Liquid by Ultrasound

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