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Axial acoustic radiation force on an elastic spherical shell near an impedance boundary for zero-order quasi-Bessel-Gauss beam

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Chinese Physics B 2021年第4期30卷 305-318页

作者： Yu-Chen Zang Wei-Jun Lin Chang Su Peng-Fei Wu Institute of Acoustics Chinese Academy of SciencesBeijing 100190China University of Chinese Academy of Sciences Beijing 100049China

Shell structures have increasingly widespread applications in biomedical ultrasound fields such as contrast agents and drug delivery,which requires the precise prediction of the acoustic radiation force under various circumstances to improve the system *** acoustic radiation force exerted by a zero-order quasi-Bessel-Gauss beam on an elastic spherical shell near an impedance boundary is theoretically and numerically studied in this *** means of the finite series method and the image theory,a zero-order quasi-Bessel-Gauss beam is expanded in terms of spherical harmonic functions,and the exact solution of the acoustic radiation force is derived based on the acoustic scattering *** acoustic radiation force function,which represents the radiation force per unit energy density and per unit cross-sectional surface,is especially *** simulated results for a polymethyl methacrylate shell and an aluminum shell are provided to illustrate the behavior of acoustic radiation force in this *** simulated results show the oscillatory property and the negative radiation force caused by the impedance *** appropriate relative thickness of the shell can generate sharp peaks for a polymethyl methacrylate *** radiation force can be obtained at small half-cone angles and the beam waist only affects the results at high *** that the quasi-Bessel-Gauss beam possesses both the energy focusing property and the non-diffracting advantage,this study is expected to be useful in the development of acoustic tweezers,contrast agent micro-shells,and drug delivery applications.

关键词： acoustic radiation force zero-order quasi-Bessel-Gauss beam impedance boundary elastic spherical shell

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Reflection of plane waves from a micropolar thermoelastic solid half-space with impedance boundary conditions

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Journal of Ocean Engineering and Science 2019年第2期4卷 122-131页

作者： Baljeet Singh Anand Kumar Yadav Deepak Gupta Department of Mathematics Post Graduate Government CollegeSector 11ChandigarhIndia Department of Mathematics M.M.University MullanaAmbalaIndia

In this paper,the governing equations of linear,isotropic,homogeneous and generalized micropolar thermoelasticity are specialized in a *** governing equations are solved for plane harmonic wave *** separate velocity equations are obtained which indicate the existence of four plane waves with distinct speeds.A problem on reflection of plane waves from a thermally insulated/isothermal surface is considered with impedance boundary *** potentials for incident and reflected waves are formulated which satisfy the boundary conditions at a plane *** between reflection coefficients as well as the expressions of energy ratios for various reflected waves are *** illustration,the reflection coefficients and energy ratios of reflected waves are computed for relevant material parameters of an aluminium-epoxy *** of impedance parameters on all reflected waves is shown graphically at each angle of incidence.

关键词： Micropolar thermoelasticity impedance boundary Plane waves Reflection coefficients Energy ratios.

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NUMERICAL SOLUTION OF THE SCATTERING PROBLEM FOR ACOUSTIC WAVES BY A TWO-SIDED CRACK IN 2-DIMENSIONAL SPACE

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Journal of Computational Mathematics 2011年第2期29卷 141-166页

作者： Jijun Liu P.A. Krutitskii M. Sini Department of Mathematics Southeast University Nanjing 210096 China Keldysh Institute of Applied Mathematics Moscow 125047 Russia Johann Radon Institute for Computational and Applied Mathematics Austrian Academy of Sciences Linz A~40-40 Austria

The wave scattering problem by a crack F in R2 with impedance type boundary is considered. This problem models the diffraction of waves by thin two-sided cylindrical screens. A numerical method for solving the problem is developed. The solution of the problem is represented in the form of the combined angular potential and single-layer potential. The linear integral equations satisfied by the density functions are derived for general parameterized arcs. The weakly singular integrals and the Cauchy singular integral arising in these equations are computed using a highly accurate scheme with a truncation error analysis. The advantage of the scheme proposed in this paper is, in one hand, the fact that we do not need the analyticity property of the crack and we allow different complex valued surface impedances in both sides of the crack. In the other hand, we avoid the hyper-singular integrals. Numerical implementations showing the validity of the scheme are presented.

关键词： Wave scattering impedance boundary Integral equations Singularity analysis,Numerics.

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Acoustic radiation force on a rigid cylinder between two impedance boundaries in a viscous fluid

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Nanotechnology and Precision Engineering 2022年第3期5卷 18-29页

作者： Xinlei Liu Zhaoyu Deng Li Ma Xiaozhou Liu Key Laboratory of Modern Acoustics Institute of Acoustics and School of PhysicsCollaborative Innovation Center of Advanced MicrostructuresNanjing UniversityNanjing 210093China Institute of Acoustics Chinese Academy of SciencesBeijing 100190China State Key Laboratory of Acoustics Institute of AcousticsChinese Academy of SciencesBeijing 100190China

Acoustofluidic technology combines acoustic and microfluidic technologies to realize particle manipulation in microchannels driven by acoustic waves,and the acoustic radiation force(ARF)with boundaries is important for particle manipulation in an acoustofluidic *** the work reported here,the ARF on a free cylinder immersed in a viscous fluid with an incident plane wave between two impedance boundaries is derived analytically and calculated *** influence of multiple scattering between the particle and the impedance boundaries is described by means of image theory,the finite-series method,and the translational addition theorem,and multiple scattering is included partly in image *** ARF on a free rigid cylinder in a viscous fluid is analyzed by numerical calculation,with consideration given to the effects of the distances from cylinder edge to boundaries,fluid viscosity,cylinder size,and boundary *** results show that the interaction between the two boundaries and the cylinder makes the ARF change more violently with different frequencies,while increasing the viscosity can reduce the amplitude of the ARF in boundary *** study provides a theoretical basis for particle manipulation by the ARF in acoustofluidics.

关键词： Acoustic radiation force Viscous fluid Free particle impedance boundary Acoustofluidics

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