超声污水流量测量的数学建模及影响因素分析

Analysis of Mathematical Modeling and Influence Factors of Ultrasonic Sewage Flow Measurement

基于超声波多普勒效应的原理通过建立多普勒法测量污水的数学模型,全面分析推导了超声波发射、接受过程中的传导公式,实现了测量多普勒频移来获得了流速^([1])、流量的数学公式。在研究多普勒法超声波传输理论的基础上,根据声波动方程的推导分析了超声波信号在介质中的传播衰减特性,得到超声信号的传播衰减特性与介质密度、介质粘度、颗粒尺寸大小和超声波频率有关。通过使用MATLAB软件对超声波在污水模拟介质中衰减进行数值模拟仿真知道,污水的颗粒尺寸、密度和测量使用的超声波频率对超声波回波幅值有重要的影响,很好的印证了理论研究结果。

Based on the principle of uhrasonic doppler effect, the doppler measurement mathematical model of sewage was built. The ultrasonic transmission and reception in the process of conduction formula was analyzed and deduced. The mathematical formula of flow velocity and flow rate can obtain by the doppler frequency shift measurement. On the basis of studying the ultrasonic propaga- tion attenuation characteristic theory in such special medium for sewage, the attenuation of propagation property is simulated by using MATLAB simulation software. The wave equation of ultrasonic signals spreading in medium water is deduced on the basis of doppler ul- trasonic transmission theory. According to the acoustic wave equation, they analyses the ultrasonic signal transmission attenuation char- acteristic in the medium, and know that the ultrasonic signal transmission attenuation characteristic in the medium is relative to medi- um density, medium viscosity, particle size and ultrasonic frequency. By using the MATLAB software simulating sewage medium ultra- sonic attenuation characteristic, they know that the particle size of sewage and the ultrasonic frequency has an important influence on the ultrasonic amplitude value. The theoretical research results are confirmed by the conclusion of numerical simulation.