The primary resonance of cylindrical bubbles excited by the square wave

Physics of Fluids, Journal Year: 2025, Volume and Issue: 37(5)

Published: May 1, 2025

The investigation of nonlinear characteristics cylindrical bubbles plays an important role in engineering fields such as underwater explosions and ship propeller cavitation. In the present paper, behaviors primary resonance excited by square wave are investigated compressible liquids using multi-scale method Lyapunov stability theory. influences excitation intensity, equilibrium bubble radius, polytropic exponent, detuning parameters on explored. findings encapsulated follows: (1) amplitude phase response demonstrate multivalued solutions, jumps, hysteresis phenomena. (2) As intensity radius increase, frequency peak shifts along backbone curve toward smaller parameters, unstable region expands, threshold for chaos is reduced. (3) Compared to results obtained under sinusoidal excitation, demonstrates values, a narrower range regions, higher threshold.

Language: Английский

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Multi-scale analysis of harmonic resonance in cylindrical bubbles under acoustic excitation

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(9)

Published: Sept. 1, 2024

In this paper, the dimensionless oscillation equation of a cylindrical bubble is analyzed using multi-scale method, Lyapunov stability theory, and Routh–Hurwitz criterion. The corresponding second-order analytical solution criterion are obtained. By examining cases super-harmonic resonance 1/2-order sub-harmonic resonance, harmonic characteristics bubbles influencing factors revealed. conclusions summarized as follows: (1) Super-harmonic can exhibit up to three solutions, along with unstable phenomena such jump hysteresis. Sub-harmonic however, shows at most two solutions simultaneously, without or hysteresis phenomena. (2) As acoustic excitation amplitude increases, both response zone significantly enlarge. An increase in nonlinear coefficients reduce instability. (3) When reaches certain threshold, mode shifts from periodic chaotic. Under same initial conditions, chaos threshold for higher than that resonance.

Language: Английский

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The Kirkwood–Bethe hypothesis for bubble dynamics, cavitation, and underwater explosions

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(5)

Published: May 1, 2024

Pressure-driven bubble dynamics is a major topic of current research in fluid dynamics, driven by innovative medical therapies, sonochemistry, material treatments, and geophysical exploration. First proposed 1942, the Kirkwood–Bethe hypothesis provides simple means to close equations that govern pressure-driven as well resulting flow field acoustic emissions spherical symmetry. The models derived from can be solved using standard numerical integration methods at fraction computational cost required for fully resolved simulations. Here, theoretical foundation contemporary it are gathered reviewed, generalized account spherically symmetric, cylindrically planar one-dimensional domains. In addition, underpinning assumptions clarified new results scrutinize predictive capabilities with respect complex impedance experienced curved waves formation shock presented. Although built upon simplifying lacks some basic properties, able provide accurate predictions under specific conditions associated cavitation, underwater explosions.

Language: Английский

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Simultaneous resonance characteristics of cylindrical bubbles under dual-frequency acoustic excitation based on singular-perturbation theory

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(10)

Published: Oct. 1, 2024

The simultaneous resonance patterns and dynamic attributes of cylindrical bubbles subjected to dual-frequency acoustic excitation are explored in this article. Specifically, analytical models local stability analysis constructed for different types under excitation. Based on the frequency response curve, mechanisms whereby core parameters influence resonant characteristics then explored. Combined with Lyapunov exponent amplitude, frequency, phase, bifurcation diagrams illustrated determining global bubble system. conclusions from research given as follows: (1) Under excitation, type can be subdivided into three categories, namely, primary–superharmonic, primary–subharmonic, superharmonic–subharmonic resonances. These exhibit unique significant characteristics. (2) Increasing total amplitude significantly enhances maximum value vulnerability instabilities. effect balance radius is similar that amplitude. Higher values nonlinear coefficient reduce increase likelihood instability. (3) a key factor affecting bubbles. As increases, oscillation gradually transforms periodic chaotic.

Language: Английский

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Bubble Oscillation Dynamics

SpringerBriefs in energy, Journal Year: 2024, Volume and Issue: unknown, P. 27 - 50

Published: Jan. 1, 2024

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Investigation on the primary resonance of a cylindrical bubble in compressible liquid

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(11)

Published: Nov. 1, 2024

In the present paper, paramount characteristics of resonance cylindrical bubbles in a compressible liquid are theoretically investigated with multi-scale analysis. Considering liquid's compressibility, dimensionless equation bubble wall motion is established for primary under single-frequency acoustic field. Comparing numerical results, analytical solution verified terms accuracy. The key parameters on further explored including equilibrium radius, amplitude field, and other detuning parameters. main conclusions given as follows: (1) During resonance, three typical nonlinear phenomena observed: multivalued solutions, jumps, hysteresis phenomena. (2) compressibility affects intensity waves emitted by during resonance. maximum pressure at interface incompressible higher than that liquid. (3) amplitude–frequency curve, unstable region smaller peak lower

Language: Английский

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Cylindrical bubble dynamics in triple-frequency acoustic field

Journal of Hydrodynamics, Journal Year: 2024, Volume and Issue: 36(5), P. 947 - 953

Published: Oct. 1, 2024

Language: Английский

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Dual-frequency excited combination resonance and global stability of an oscillating cylindrical bubble

Physics of Fluids, Journal Year: 2024, Volume and Issue: 36(12)

Published: Dec. 1, 2024

Based on the multi-scale method and Lyapunov stability theory, second-order analytical model of combination resonance under dual-frequency acoustic excitation an oscillating cylindrical bubble is established. The nonlinear dynamic characteristics additive subtractive are explored by analyzing frequency response curve global stability. primary findings given as follows: (1) exhibits complex characteristics, which manifested in multiple peaks unstable regions. (2) peak consists a single left small-amplitude double right. amplitude highly sensitive to changes core parameters, at top obvious. (3) composed large-amplitude double-peak single-peak When relatively high, three discontinuous regions will appear curve.

Language: Английский

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Theoretical investigation of the simultaneous resonance of a cylindrical bubble under triple-frequency acoustic excitation

Journal of Hydrodynamics, Journal Year: 2024, Volume and Issue: 36(6), P. 1095 - 1103

Published: Dec. 1, 2024

Language: Английский

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