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Ultrasonic wave propagation in thermoviscous moving fluid confined by heating pipeline and flow measurement
Yong Chen1, Yiyong Huang, Xiaoqian Chen
1Institute of Space Technology, College of Aerospace Science and Engineering, National University of Defense Technology, 410073 Changsha, China.
Abstract:
Ultrasonic wave propagation in thermoviscous fluid with pipeline shear mean flow in the presence of a temperature gradient is investigated. On the assumption of irrotational and axisymmetric wave propagation, a mathematical formulation of the convected wave equation is proposed without simplification in the manner of Zwikker and Kosten. A method based on the Fourier-Bessel theory, which is complete and orthogonal in Lebesgue space, is introduced to convert the wave equations into homogeneous algebraic equations. Then numerical calculation of the axial wavenumber is presented. In the end, wave attenuation in laminar and turbulent flow is numerically studied. Meanwhile measurement performance of an ultrasonic flow meter is parametrically analyzed.
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