Abstract

A velocity measuring method using an inserted electrostatic sensor with spatial filtering effects is obtained using the point charge mathematical model established in this paper. Employing the established mathematical model helps determine the spatial filtering and spatial sensitivity characteristics of the probe. The spatial sensitivity distribution is obtained by simulating the point charge mathematical model, and when the point charge is near the probe (a>0), the sensitivity of the probe is higher and the spatial sensitivity of the probe has symmetry. The relation between the probe length L inserted into a pipe and the charge induced on the probe can also be obtained using simulation, where the longer the probe length L is, the larger the signal amplitude is. However, the signal amplitude is almost invariant when the probe length L is larger than the radius of the pipe. Experiments prove that the spatial filtering and sensitivity characteristics of the probe are consistent with the simulation results. When the free fall velocity of particles is the same, the probe has a low-pass characteristic for the measured signals. It is proven that the fluid velocity measurement method using spatial filtering effects can completely measure the fluid velocity using the spatial filtering characteristic experiments of the probe. The spatial filtering measurement velocity method is also feasible when measuring continuous objects.

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