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Shock and Vibration
Volume 2014 (2014), Article ID 912404, 17 pages
Research Article

Effect of Shear on Ultrasonic Flow Measurement Using Nonaxisymmetric Wave Modes

1College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China
2Air Force Early Warning Academy, Wuhan 430019, China

Received 12 March 2014; Revised 9 May 2014; Accepted 9 May 2014; Published 29 May 2014

Academic Editor: Valder Steffen Jr

Copyright © 2014 Yong Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Nonaxisymmetric wave propagation in an inviscid fluid with a pipeline shear flow is investigated. Mathematical equation is deduced from the conservations of mass and momentum, leading to a second-order differential equation in terms of the acoustic pressure. Meanwhile a general boundary condition is formulated to cover different types of wall configurations. A semianalytical method based on the Fourier-Bessel theory is provided to transform the differential equation to algebraic equations. Numerical analysis of phase velocity and wave attenuation in water is addressed in the laminar and turbulent flow. Meanwhile comparison among different kinds of boundary condition is given. In the end, the measurement performance of an ultrasonic flow meter is demonstrated.