Waves on fluid-loaded shells and their resonance frequency spectrum

Bao, Xiaojun; Überall, H.; Raju, P. K.; Ahyi, A. C.; Bjørnø, Irina; Björnö, L.

doi:10.1016/j.jsv.2004.12.006

Cited by 6 publications

(5 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To investigate the resonance modes and the corresponding Eigen frequencies of the system, the secular equations and dispersion equation of the system are derived based on the Mie scattering analysis [33][34][35][36], which are given by…”

Section: Theoretical Model and Numerical Methodsmentioning

confidence: 99%

Numerical study of enhanced Rayleigh streaming in resonant cylindrical shells

Qi¹,

Cai²,

Lei³

et al. 2021

J. Micromech. Microeng.

View full text Add to dashboard Cite

We have numerically demonstrated a type of enhanced Rayleigh streaming in a resonant cylindrical shell (CS) by using the limiting velocity method. It is found that the main characteristics of the resonant streaming field resemble those of classical Rayleigh streaming in a rigid cylindrical cavity. Nevertheless, the maximum velocity of the demonstrated streaming in the resonant CS is significantly higher than that of classical Rayleigh streaming in a rigid cylindrical cavity under the same acoustic conditions. In addition, the velocity of the demonstrated streaming at the low resonant frequency is higher than that at the high resonant and non-resonant frequencies in the shell. The enhancement of the demonstrated streaming originates from the resonant excitation of non-leaky circumferential modes intrinsic to the CS, characterizing with the enhanced gradient acoustic fields in the viscous boundary layer around its inner surface. This type of streaming may be of interest for acoustofluidic devices in many applications such as particle manipulation and liquid mixing.

show abstract

Section: Theoretical Model and Numerical Methodsmentioning

confidence: 99%

Numerical study of enhanced Rayleigh streaming in resonant cylindrical shells

Qi¹,

Cai²,

Lei³

et al. 2021

J. Micromech. Microeng.

View full text Add to dashboard Cite

show abstract

“…(9). 19 Consequently, the number, n, need not necessarily be an integer, but it does need to be real when there is no absorption (to account for finite absorption, this number can be extended to the complex space). In particular, when n becomes integer, the system resonates and the corresponding frequency becomes a resonance frequency.…”

Section: A Characteristic Equationmentioning

confidence: 99%

“…5, the frequencies where the circumference of the tube equals an integer number of multiples of the wavelength of the mode (the principle of phase matching). 19 This method can be readily applied to a cylinder or a thick shell. Since the wavelength of the circumferential wave is approximately given by 2pd=n for a thin-walled pipe, n should be an integer to satisfy the condition that the circumference of the tube is an integer number of multiples of the wavelength.…”

Section: A Characteristic Equationmentioning

confidence: 99%

“…The dispersion curves of circumferential waves for liquid-filled pipes have been discussed and calculated. 18,19 Circumferential modes can be obtained by letting the axial wave number, k z , tend to zero in the general characteristic equation for nonaxisymmetric modes. The current requirement to characterize the circumferential modes in such pipes arose from the need to design a narrow band acoustic sensor for bubble detection for the Target Test Facility (TTF) of the Spallation Neutron Source (SNS) at Oak Ridge National Laboratory (ORNL), TN.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Acoustic attenuation, phase and group velocities in liquid-filled pipes III: Nonaxisymmetric propagation and circumferential modes in lossless conditions

Baik

Jiang

Leighton

2013

The Journal of the Acoustical Society of America

View full text Add to dashboard Cite

Equations for the nonaxisymmetric modes that are axially and circumferentially propagating in a liquid-filled tube with elastic walls surrounded by air/vacuum are presented using exact elasticity theory. Dispersion curves for the axially propagating modes are obtained and verified through comparison with measurements. The resulting theory is applied to the circumferential modes, and the pressures and the stresses in the liquid-filled pipe are calculated under external forced oscillation by an acoustic source. This provides the theoretical foundation for the narrow band acoustic bubble detector that was subsequently deployed at the Target Test Facility (TTF) of the Spallation Neutron Source (SNS) at Oak Ridge National Laboratory (ORNL), TN.

show abstract

“…In 3D, the equivalent will be a finite length cylindrical defect. Besides resonance effect of creeping waves in the circumferential direction, there is another resonance occurring in the axial direction for creeping waves along the length of cylinder [59]. From the circumferential and axial wave eigen-frequency spectra, "Breathing" mode Dipole mode Quadrupole mode Octupole mode…”

Section: Inspection Of Subsurface Defects With Lasermentioning

confidence: 99%

Subsurface defect characterization using laser ultrasonic technique for metal additive manufacturing

Cai¹

View full text Add to dashboard Cite

show abstract

Waves on fluid-loaded shells and their resonance frequency spectrum

Cited by 6 publications

References 8 publications

Numerical study of enhanced Rayleigh streaming in resonant cylindrical shells

Numerical study of enhanced Rayleigh streaming in resonant cylindrical shells

Acoustic attenuation, phase and group velocities in liquid-filled pipes III: Nonaxisymmetric propagation and circumferential modes in lossless conditions

Subsurface defect characterization using laser ultrasonic technique for metal additive manufacturing

Contact Info

Product

Resources

About