Combination and simultaneous resonances of gas bubbles oscillating in liquids under dual-frequency acoustic excitation

Zhang, Yuning; Sheng-cai, LI

doi:10.1016/j.ultsonch.2016.10.022

Cited by 93 publications

(53 citation statements)

References 49 publications

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“…While dual-frequency ultrasound displays promising influences for sonophoretic transdermal drug delivery, there remain substantial challenges that impede its efficacy and implementation. First, the optimization of a dual-frequency approach is largely unknown, 36 with studies postulating frequency combinations. Second, the interaction of bubbles with dual frequency is not sufficiently understood.…”

Section: Dual-frequency Spmentioning

confidence: 99%

Recent advances in ultrasound-based transdermal drug delivery

Seah¹,

Teo²

2018

IJN

119

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The transdermal transport of pharmaceuticals possesses various advantageous properties over conventional drug administration techniques such as oral delivery and hypodermic injections. However, the stratum corneum persists as the main barrier, which impedes percutaneous transport. The ultrasound-based transdermal delivery of therapeutics is one of the techniques that are being investigated to overcome this obstacle. This review outlines the background information pertaining to sonophoresis and then discusses the individual sections of sonophoretic research. These areas include the sonophoretic application of various drugs, dual-frequency sonophoresis, synergistic combinations of transdermal drug delivery techniques, and the use of nanosized carriers in ultrasound-based transdermal delivery. The various challenges associated with sonophoretic drug delivery and trends of future research are also highlighted.

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Section: Dual-frequency Spmentioning

confidence: 99%

Recent advances in ultrasound-based transdermal drug delivery

Seah¹,

Teo²

2018

IJN

119

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“…Dynamics of the acoustically excited bubbles are nonlinear and chaotic. These dynamics have been the subject of numerous experimental [1,15,[17][18][19][20] and numerical [21][22][23][24][25][26][27][28][29][30] studies . Achieving the full potential of bubbles in applications and understanding their role in the associated phenomena not only requires a detailed knowledge over their complex behavior but also on the effect of bubble oscillations on the propagation of acoustic waves.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear power loss in the oscillations of coated and uncoated bubbles: Role of thermal, radiation and encapsulating shell damping at various excitation pressures

Sojahrood

Haghi

et al. 2020

Ultrasonics Sonochemistry

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A simple generalized model (GM) for coated bubbles accounting for the effect of compressibility of the liquid is presented. The GM was then coupled with nonlinear ODEs that account for the thermal effects. Starting with mass and momentum conservation equations for a bubbly liquid and using the GM, nonlinear pressure dependent terms were derived for energy dissipation due to thermal damping (Td), radiation damping (Rd) and dissipation due to the viscosity of liquid (Ld) and coating (Cd). The dissipated energies were solved for uncoated and coated 2-20 µm bubbles over a frequency range of 0.25f r − 2.5f r (f r is the bubble resonance) and for various acoustic pressures (1kPa-300kPa). Thermal effects were examined for air and C3F8 gas cores in each case. For uncoated bubbles with an air gas core and a diameter larger than 4 µm, thermal damping is the strongest damping factor. When pressure increases, the contributions of Rd grow faster and become the dominant damping mechanism for pressure dependent resonance frequencies (e.g. fundamental and super harmonic resonances). For coated bubbles, Cd is the strongest damping mechanism. As pressure increases Rd contributes more to damping compared to Ld and Td. In case of air bubbles, as pressure increases, the linear thermal model largely deviates from the nonlinear model and accurate modeling requires inclusion of the full thermal model. However, for coated C3F8 bubbles of diameter 1-8 µm, typically used in medical ultrasound, thermal effects maybe neglected even at higher pressures. We show that the scattering to damping ratio (STDR), a measure of the effectiveness of the bubble as contrast agent, is pressure dependent and can be maximized for specific frequency ranges and pressures. 1

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“…Methods of nonlinear dynamics (e.g. resonance curves and bifurcation diagrams) have been extensively applied to investigate bubble behavior [1][2][3][4][5][6][7][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. It has been shown that the bubble oscillator can exhibit 1 2 , 1 3 , 1 4 , 1 5 or higher order SHs, as well as period doubling route to chaos [1][2][3][4][5][6][7][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40]…”

Section: Introductionmentioning

confidence: 99%

A simple method to analyze the super-harmonic and ultra-harmonic behavior of the acoustically excited bubble oscillator

Sojahrood

Wegierak

Haghi

et al. 2019

Ultrasonics Sonochemistry

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Acoustically excited bubbles are involved in a wide range of phenomena and applications ranging from oceanography to sonoluminescence; they have applications in chemistry, medical imaging, and therapeutic ultrasound. The complexity of bubble dynamics and the limited understanding of their behavior restricts the exploration of their full potential. The bubble oscillator is a highly nonlinear system, which makes it difficult to generate a comprehensive understanding of its oscillatory behavior. One method used to investigate such complex dynamical systems is the bifurcation analysis. Numerous investigations have employed the method of bifurcation diagrams to study the effect of different control parameters on the bubble behavior. These studies, however, focused mainly on investigating the subharmonic (SH) and chaotic oscillations of the bubbles. Super-harmonic (SuH) and ultra-harmonic (UH) bubble oscillations remain under-investigated. One reason is that the conventional method used for generating bifurcation diagrams cannot reliably identify features that are responsible for the identification of SuH and UH oscillations. Additionally, the conventional method cannot distinguish between the UHs and SHs. We introduce a simple procedure for the generation of bifurcation diagrams to address this shortcoming. This method selects the maxima of the bubble oscillatory response and plots them alongside the traditional bifurcation points for the corresponding control parameter. Through applying this method, the oscillatory behavior of the bubble oscillator is analyzed, and stable SuH and UH bubble oscillations are investigated. Based on this new analysis, the conditions for the generation and amplification of UH and SuH regimes are discussed.

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Combination and simultaneous resonances of gas bubbles oscillating in liquids under dual-frequency acoustic excitation

Cited by 93 publications

References 49 publications

Recent advances in ultrasound-based transdermal drug delivery

Recent advances in ultrasound-based transdermal drug delivery

Nonlinear power loss in the oscillations of coated and uncoated bubbles: Role of thermal, radiation and encapsulating shell damping at various excitation pressures

A simple method to analyze the super-harmonic and ultra-harmonic behavior of the acoustically excited bubble oscillator

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