24 October 2006 Applications of the finite element method in the ultrasonic flow measurement
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Most of the measuring flow methods are either based on experiential formula or multi-ultrasonic transducers. The former has the disadvantage of underestimation of errors while the latter adopts multi-channel data and higher cost of equipment, which is limited in the application in engineering. The finite element method is adopted to mimic the numerical value of the flow velocity field of the transect of liquid such as water in ditches of various regular shapes. In order to make a reasonable simplified analysis of the flow velocity model, ignore the inertial force of the flow in the calculation, the flow field is a potential flow with a free surface. If the flow in the ditch is simply treated as a incompressible viscous flow, the model can be considered as a problem of two dimensional irrotational incompressible flow. The ultrasonic kinemometer is used to measure the velocities of water of different depth in ditches. The velocities are used as the boundary conditions of the finite element method. Only to measure a few flow velocities of different depth, can the flow value of the transect be obtained easily by the finite element method.
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Yiding Zhao, Yiding Zhao, Shuhua Ma, Shuhua Ma, } "Applications of the finite element method in the ultrasonic flow measurement", Proc. SPIE 6357, Sixth International Symposium on Instrumentation and Control Technology: Signal Analysis, Measurement Theory, Photo-Electronic Technology, and Artificial Intelligence, 63572O (24 October 2006); doi: 10.1117/12.717145; https://doi.org/10.1117/12.717145

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