Related Experiment Video
Updated: Jun 16, 2026

Fabrication, Operation and Flow Visualization in Surface-acoustic-wave-driven Acoustic-counterflow Microfluidics
Published on: August 27, 2013
Ray-acoustic modeling of reflection at terminations of open-ended circular ducts: Validation against Wiener-Hopf
1School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China.
Abstract:
It is of great engineering importance to characterize acoustic sources that turbomachines induce. This determination requires detailed information regarding the acoustic field within the duct, which is generally of a limited length. In this paper, a ray method is developed for semi-infinite circular ducts by utilizing the concept of the non-isotropic ring source to elucidate the formation of the acoustic field within such ducts. Our work establishes a rigorous asymptotic equivalence between the ray and Wiener-Hopf methods for large Helmholtz numbers, a comparison that has not been explicitly addressed in prior duct acoustics studies. The effective frequency range of the ray solution is determined by comparison with the Wiener-Hopf solution. Furthermore, a reciprocity relation for the reflected field is derived in the form of a ray series, providing an independent validation of the presented solution.
Related Concept Videos
Sound Waves: Resonance
Steady, Laminar Flow in Circular Tubes
Standing Waves in a Cavity
Mesh Analysis for AC Circuits
The process of harmonizing these impedances begins with a clear understanding of the input and output signals. Once these signals are known, the...
Modes of Standing Waves: II
For a tube open at one end and closed at the other filled with air, the modes are such that there is always an antinode at the open end and a node at the closed end.
Major Losses in Pipes
Fluid flow can be classified as laminar or turbulent, primarily based on the Reynolds number. This dimensionless number reflects the relative influence of inertial to viscous...

