Bubble dynamics in a maxwell fluid with extensional viscosity

Albernaz, Daniel L.; Cunha, Francisco Ricardo

doi:10.1016/j.mechrescom.2011.02.013

Cited by 16 publications

(13 citation statements)

References 23 publications

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“…The presented results indicate that the Deborah number, which is a measure of the non-Newtonian state of the fluid, severely affects bubble stability, and with the increase of Deborah number, bubble experiences irregular oscillations. These findings confirm the results reported in [22,24,[28][29][30]45]. In view of this fact, the injection and conveyance of bubbles in the blood stream should be performed very carefully, and the nonNewtonian state of blood should be tested and measured.…”

Section: Discussionsupporting

confidence: 88%

“…It can be stated that with the increase of De number, bubble growth inside the blood fluid becomes chaotic, and due to instability, its control becomes impossible, so an elasticity threshold should be determined for the fluid. Also, other research works have reported the instability of time series with the increase of De [22,24,[28][29][30]45 Figure 3 shows a selection of associated radiustime profiles illustrating the cascade to chaos through a period-doubling bifurcation. As can be seen, the motion is initially stable with period one and undergoes early cascades of period-doubling to chaos.…”

Section: Impact Of Deborah Numbermentioning

confidence: 91%

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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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Section: Discussionsupporting

confidence: 88%

Section: Impact Of Deborah Numbermentioning

confidence: 91%

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

et al. 2013

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“…Furthermore, the results also indicate that the Deborah number, a measure of the non-Newtonian state of the fluid, severely affects the bubble stability; with the increase in Deborah number, the bubble experiences irregular radial oscillations. These findings confirm the results reported in [28,30,[34][35][36]54]. In view of this fact, the injection and conveyance of bubbles in the blood stream should be performed very carefully, and the non-Newtonian state of blood should be tested and measured.…”

Section: Discussionsupporting

confidence: 88%

“…It belongs to a bubble with initial radius of 1 μm exposed to a frequency of the acoustic force of 5 MHz and with the pressure amplitude of 200 kHz when the control parameter is a Deborah number in the range of 2-7 (a condition used typically during the growth of bubble in blood [35]). It is easily understood that by increasing the Deborah number, the bubble stability is reduced and the obvious chaotic radial oscillations has been proven by previous studies [28,30,[34][35][36]54].…”

Section: The Effect Of the Deborah Number Through Applying A Magneticmentioning

confidence: 86%

“…It can be stated that with the increase of the De number, bubble growth inside the blood fluid becomes chaotic, and due to instability, its control becomes impossible, so an elasticity threshold should be determined for the fluid. In addition, other researchers have reported the instability of time series with the increase of De [35,36,54], and a threshold of De for bubble stability could not be determined. The Radial motion of single bubble dynamics is investigated versus a prominent domain of De number from 2 to 7.…”

Section: The Impact Of the Deborah Numbermentioning

confidence: 90%

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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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