Institute of Space Technology, College of Aerospace Science and Engineering, National University of Defense Technology, 410073 Changsha, China.
J Acoust Soc Am. 2013 Sep;134(3):1863-74. doi: 10.1121/1.4816414.
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.
研究了温度梯度存在下管道剪切平均流中热粘性流体中的超声波传播。在无旋和轴对称波传播的假设下，提出了一种没有简化 Zwikker 和 Kosten 方法的对流波方程的数学公式。引入了一种基于傅里叶-贝塞尔理论的方法，该方法在勒贝格空间中是完备和正交的，将波动方程转换为齐次代数方程。然后给出了轴向波数的数值计算。最后，数值研究了层流和湍流中的波衰减。同时，对超声流量计的测量性能进行了参数分析。
