An analytical approach for microbubble dynamics in histotripsy based on a neo-Hookean model

Abu‐Nab, Ahmed K.; Mohamed, K. G.; Abu-Bakr, Ali F.

doi:10.1007/s00419-022-02346-4

Cited by 5 publications

(3 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When the charged microbubble dynamics are a complete growth, the inertial forces are neglected and the boundary conditions in Equation (11)…”

Section: Noninteraction-charged Cavitation Bubblementioning

confidence: 99%

“…Applying the conditions in Equation (11) into Equation (33), the nonlinear differential equation of charged multibubbles becomes:…”

Section: R + 2rmentioning

confidence: 99%

“…Different dynamic pressure imbalances give rise to bubbles of different cavitations, which exhibit numerous volumetric oscillations that have a wide range of use in many important applications. Certain acoustic and induced-laser cavitation bubbles [4][5][6], for instance, are used for medication and gene delivery [7,8], therapeutic biological systems [9][10][11][12], ultrasonic cleaning [13], sonoluminescence [14], inkjet printing [15], and bubble propulsion [16]. The efforts of researchers [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] help the researchers to understand and develop the bubble dynamics and its application, so these results enhance the scientific fields.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Charged Cavitation Multibubbles Dynamics Model: Growth Process

Abu-Nab,

Hakami,

Abu-Bakr

2024

Mathematics

Self Cite

View full text Add to dashboard Cite

The nonlinear dynamics of charged cavitation bubbles are investigated theoretically and analytically in this study through the Rayleigh–Plesset model in dielectric liquids. The physical and mathematical situations consist of two models: the first one is noninteracting charged cavitation bubbles (like single cavitation bubble) and the second one is interacting charged cavitation bubbles. The proposed models are formulated and solved analytically based on the Plesset–Zwick technique. The study examines the behaviour of charged cavitation bubble growth processes under the influence of the polytropic exponent, the number of bubbles N, and the distance between the bubbles. From our analysis, it is observed that the radius of charged cavitation bubbles increases with increases in the distance between the bubbles, dimensionless phase transition criteria, and thermal diffusivity, and is inversely proportional to the polytropic exponent and the number of bubbles N. Additionally, it is evident that the growth process of charged cavitation bubbles is enhanced significantly when the number of bubbles is reduced. The electric charges and polytropic exponent weakens the growth process of charged bubbles in dielectric liquids. The obtained results are compared with experimental and theoretical previous works to validate the given solutions of the presented models of noninteraction and interparticle interaction of charged cavitation bubbles.

show abstract

“…When the charged microbubble dynamics are a complete growth, the inertial forces are neglected and the boundary conditions in Equation (11)…”

Section: Noninteraction-charged Cavitation Bubblementioning

confidence: 99%

“…Applying the conditions in Equation (11) into Equation (33), the nonlinear differential equation of charged multibubbles becomes:…”

Section: R + 2rmentioning

confidence: 99%