Institute of Space Technology, College of Aerospace Science and Engineering, National University of Defense Technology, 410073, Changsha, China.
J Acoust Soc Am. 2013 Oct;134(4):2619-22. doi: 10.1121/1.4818774.
Isentropic wave propagation in a viscous fluid with a uniform mean flow confined by a rigid-walled circular pipeline is considered. A method based on the Fourier-Bessel theory, which is complete and orthogonal in Lebesgue space, is introduced to solve the convected acoustic equations. After validating the method's convergence, the cut-off frequency of wave modes is addressed. Furthermore, the effect of flow profile on wave attenuation is analyzed. Meanwhile, measurement performance of an ultrasonic flow meter based on wave propagation is numerically accounted.
考虑了在具有均匀平均流的粘性流体中，在刚性壁圆形管道限制下的等熵波传播。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，用于求解对流声方程。在验证了该方法的收敛性之后，研究了波模的截止频率。此外，还分析了流动剖面对波衰减的影响。同时，还对基于波传播的超声波流量计的测量性能进行了数值计算。
