Vibration of a Single Protein Bubble in Bingham Liquid

Wang, Haimin; Xu-ping, Jiang; Ma, Junjun; Wen, Zhang

doi:10.1016/s1001-6058(08)60197-3

Cited by 3 publications

(2 citation statements)

References 17 publications

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“…In addition to experimental studies [24][25][26][27], there have also been many theoretical investigations on bubble growth [28][29][30][31][32]. In the article presented by Wang et al [33], the nonlinear vibration of a protein bubble submerged in bingham liquid has been mathematically modeled, and the bubble's reaction to pressure pulses has been studied. By presenting an analytical model for bubble growth in linear viscoelastic fluids and solving it through the perturbation method, Allen et al [34] showed that the increase in the Deborah number leads to an increase in bubble radial oscillation amplitude.…”

Section: Introductionmentioning

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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Section: Introductionmentioning

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

View full text Add to dashboard Cite

show abstract

“…In addition to experimental studies [17][18][19][20][21], there have also been many theoretical investigations on bubble growth [22][23][24][25][26]. In the article presented by Wang et al [27], the nonlinear vibration of a protein bubble submerged in Bingham liquid has been mathematically modeled, and the bubble's reaction to pressure pulses has been studied. By presenting an analytical model for bubble growth in linear viscoelastic fluids and solving it through the perturbation method, Allen and Roy [28] showed that the increase of Deborah number leads to the increase of bubble oscillation amplitude.…”

Section: Introductionmentioning

confidence: 99%

Chaotic behavior of gas bubble in non-Newtonian fluid: a numerical study

et al. 2013

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In the present paper, the nonlinear behavior of bubble growth under the excitation of an acoustic pressure pulse in non-Newtonian fluid domain has been investigated. 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. Effects of viscoelasticity term, Deborah number, amplitude and frequency of the acoustic pulse are studied. We have studied the dynamic behavior of the radial response of bubble using Lyapunov exponent spectra, bifurcation diagrams, time series and phase diagram. A period-doubling bifurcation structure is predicted to occur for certain values of the effects of parameters. The results show that by increasing the elasticity of the fluid, the growth phenomenon will be unstable. On the other hand, when the frequency of the external pulse increases the bubble growth experiences more stable condition. It is shown that the results are in good agreement with the previous studies.

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The Dynamic Behavior of Protein Bubble in Casson Fluid

Wang

Xiong

Yang

et al. 2010

ASME 2010 7th International Symposium on Fluid-Structure Interactions, Flow-Sound Interactions, and Flow-Induced Vibration and

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A Casson model is selected to describe the flow behavior of blood. Considering the viscoelasticity of protein film, and the finite deformation of protein bubble under the action of a Casson fluid, a nonlinear equation describing the dynamic behavior for a single protein bubble in blood is developed. The numerical method is used to study the effect of viscoelasticity of the protein film, the characteristic parameters of Casson fluid and the effect of surface tension on the dynamic behavior of protein bubble. The results show that, increasing the viscosity of Casson liquid will accelerate the amplitude decaying of protein bubble wall; the period becomes longer. In the condition that the viscosity of protein film is greater than that of Casson fluid, increasing the viscoelasticity of protein film will also accelerate the amplitude decaying of protein bubble wall. Further more, the greater the viscoelasticity of protein film is, the stronger its load bearing capacity is. Under the consideration of surface tension, the bubble wall will vibrate with higher decaying velocity of amplitude. Without considering the surface tension will lead to a greater relative deformation of protein bubble.

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Vibration of a Single Protein Bubble in Bingham Liquid

Cited by 3 publications

References 17 publications

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

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

Chaotic behavior of gas bubble in non-Newtonian fluid: a numerical study

The Dynamic Behavior of Protein Bubble in Casson Fluid

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