In this paper,the dynamic characteristics of the cylindrical bubbles under triple-frequency acoustic excitation are investigated theoretically.The analytical solution of the primary-superharmonic-subharmonic(PRI-SUPER...In this paper,the dynamic characteristics of the cylindrical bubbles under triple-frequency acoustic excitation are investigated theoretically.The analytical solution of the primary-superharmonic-subharmonic(PRI-SUPER-SUB)simultaneous resonance is obtained through the multi-scale method.Based on the analysis of the frequency response,the influencing mechanisms of the primary parameters(e.g.,the total amplitude,amplitude ratio,liquid viscosity,polytropic exponent,and bubble equilibrium radius)on the resonance are investigated quantitatively.The main conclusions include:(1)The solution for the simultaneous resonance of the cylindrical bubble exhibits jumping and hysteresis phenomena in the vicinity of the resonance frequency.(2)As the total amplitude,amplitude ratio,and equilibrium radius increase,the response amplitude of the PRI-SUPER-SUB simultaneous resonance increases,while the influence of the viscosity is the opposite.(3)The regions dominated by the instability of the simultaneous resonance is significantly affected by the system parameters.展开更多
In this paper,the collapse dynamic properties of the cylindrical bubble near an arched cylinder bulge are researched relying on the conformal transformation and Kelvin impulse model.The properties of the liquid veloci...In this paper,the collapse dynamic properties of the cylindrical bubble near an arched cylinder bulge are researched relying on the conformal transformation and Kelvin impulse model.The properties of the liquid velocity distribution,Kelvin impulse distribution and the attraction zone of the jet are analyzed when the bubble and the bulge are arranged symmetrically and asymmetrically.The results show that,firstly,on the side of the bubble close to the bulge,there is a minimum collapse velocity of the bubble surface,which decreases as the bulge angle increases.In addition,the bulge’s effects on the Kelvin impulse strength and direction become larger as the bulge angle increases.When the bubble is incepted at the joint of the flat wall and the bulge,the impulse strength reaches its maximum.Finally,as the bulge angle increases from 45°–120°,the area of the jet attraction zone is gradually expanding,with its maximum width gradually increasing from 1.1–1.8 times the chord length of the bulge.展开更多
In the present paper,the simultaneous resonance of a cylindrical bubble under triple-frequency acoustic excitation is investigated theoretically.Specifically,based on the multi-scale method,the dimensionless oscillati...In the present paper,the simultaneous resonance of a cylindrical bubble under triple-frequency acoustic excitation is investigated theoretically.Specifically,based on the multi-scale method,the dimensionless oscillation equations and the second-order analytical solutions of the primary-subharmonic-subharmonic(PRI-SUB-SUB),primary-superharmonic-superharmonic(PRI-SUPER-SUPER)simultaneous resonances are obtained.Based on the analysis of the frequency response,the nonlinear dynamic behavior of the cylindrical bubble and its influencing factors are analyzed.The primary conclusions include:(1)Under triple-frequency acoustic excitation,the frequency response of PRI-SUB-SUB presents a single peak,and that of PRI-SUPER-SUPER presents two peaks.(2)The polytropic exponent affects both the peak value and position of the resonance peak in the frequency response.(3)The unstable region in frequency response curve of the simultaneous resonance is significantly affected by the total amplitude and equilibrium radius,presenting a positive correlation.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.51976056).
文摘In this paper,the dynamic characteristics of the cylindrical bubbles under triple-frequency acoustic excitation are investigated theoretically.The analytical solution of the primary-superharmonic-subharmonic(PRI-SUPER-SUB)simultaneous resonance is obtained through the multi-scale method.Based on the analysis of the frequency response,the influencing mechanisms of the primary parameters(e.g.,the total amplitude,amplitude ratio,liquid viscosity,polytropic exponent,and bubble equilibrium radius)on the resonance are investigated quantitatively.The main conclusions include:(1)The solution for the simultaneous resonance of the cylindrical bubble exhibits jumping and hysteresis phenomena in the vicinity of the resonance frequency.(2)As the total amplitude,amplitude ratio,and equilibrium radius increase,the response amplitude of the PRI-SUPER-SUB simultaneous resonance increases,while the influence of the viscosity is the opposite.(3)The regions dominated by the instability of the simultaneous resonance is significantly affected by the system parameters.
基金financially supported by the Postdoctoral Fellowship Program of CPSF(Grant No.GZC20240466).
文摘In this paper,the collapse dynamic properties of the cylindrical bubble near an arched cylinder bulge are researched relying on the conformal transformation and Kelvin impulse model.The properties of the liquid velocity distribution,Kelvin impulse distribution and the attraction zone of the jet are analyzed when the bubble and the bulge are arranged symmetrically and asymmetrically.The results show that,firstly,on the side of the bubble close to the bulge,there is a minimum collapse velocity of the bubble surface,which decreases as the bulge angle increases.In addition,the bulge’s effects on the Kelvin impulse strength and direction become larger as the bulge angle increases.When the bubble is incepted at the joint of the flat wall and the bulge,the impulse strength reaches its maximum.Finally,as the bulge angle increases from 45°–120°,the area of the jet attraction zone is gradually expanding,with its maximum width gradually increasing from 1.1–1.8 times the chord length of the bulge.
基金supported by the Open Research Subject of Key Laboratory of Fluid and Power Machinery,Ministry of Education,Xihua University(Grant No.LTDL-2024009).
文摘In the present paper,the simultaneous resonance of a cylindrical bubble under triple-frequency acoustic excitation is investigated theoretically.Specifically,based on the multi-scale method,the dimensionless oscillation equations and the second-order analytical solutions of the primary-subharmonic-subharmonic(PRI-SUB-SUB),primary-superharmonic-superharmonic(PRI-SUPER-SUPER)simultaneous resonances are obtained.Based on the analysis of the frequency response,the nonlinear dynamic behavior of the cylindrical bubble and its influencing factors are analyzed.The primary conclusions include:(1)Under triple-frequency acoustic excitation,the frequency response of PRI-SUB-SUB presents a single peak,and that of PRI-SUPER-SUPER presents two peaks.(2)The polytropic exponent affects both the peak value and position of the resonance peak in the frequency response.(3)The unstable region in frequency response curve of the simultaneous resonance is significantly affected by the total amplitude and equilibrium radius,presenting a positive correlation.
