Abstract
This study presents a method to predict the flow velocity in a fluid-conveying pipe using vibration signals from the pipe surface. The flexural vibration of a fluid pipe is investigated through wave propagation. The wavenumbers and mode shapes of the pipe are determined based on its mechanical properties and flow velocities. The transient components of wavenumbers at low frequencies vary and converge on all values at higher frequencies as the flow velocity is increased. While the stationary fluid pipe exhibits symmetrical mode shapes, pipes with increasing flow velocities exhibit an asymmetric mode shape distribution skewed on one side of the axis. The resonant frequencies shift to the low frequency side as the flow velocity increases. The analytical results of the vibration analysis are used in the transfer function method to predict the flow velocities. To validate the accuracy of the prediction method, numerical vibration signals simulated by the finite element model are used. The actual input flow velocity is compared with the numerical results regarding the same to gauge the accuracy of the prediction method. This method can be used to monitor the flow rate without using flow meters, and thus protect pipelines from sudden malfunction.
Highlights
Flow measurement is crucial to flow control in various application including water supply, fuel pumps, and air conditioning systems [1,2,3]
To validate the accuracy of the prediction method, numerical vibration signals simulated by the finite element model are used
The flow velocity influences the mode shape owing to the increased tension force applied to the pipe
Summary
Flow measurement is crucial to flow control in various application including water supply, fuel pumps, and air conditioning systems [1,2,3]. It often decreases the flow rate and changes the flow characteristics due to its invasive components To solve this issue, non-invasive flow meters attaching to the surface of the pipeline have been developed to measure the flow rate without disturbing the fluid flow. To validate the accuracy of the ultrasonic flow meter, the evaluation methods of the flow rate in gas pipeline were simulated by using numerical models based on using computational fluid dynamics [6]. The mechanical properties measured by the transfer function method have a minimized error at the resonant erties ertiesmeasured measuredbybythe thetransfer transferfunction functionmethod methodhave havea aminimized minimizederror erroratatthe theresonant resonant frequency of the system The evaluation ofpipe the pipe system a precise and consistent manner
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