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Sensors 2017, 17(6), 1394; doi:10.3390/s17061394

A Study on the Model of Detecting the Liquid Level of Sealed Containers Based on Kirchhoff Approximation Theory

1
Key Laboratory of Instrumentation Science & Dynamic Measurement, Ministry of Education, North University of China, Taiyuan 030051, China
2
Science and Technology on Electronic Test & Measurement Laboratory, North University of China, Taiyuan 030051, China
3
Software School of North University of China, Taiyuan 030051, China
*
Authors to whom correspondence should be addressed.
Received: 27 April 2017 / Revised: 7 June 2017 / Accepted: 13 June 2017 / Published: 15 June 2017
(This article belongs to the Special Issue Acoustic Sensing and Ultrasonic Drug Delivery)
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Abstract

By simulating the sound field of a round piston transducer with the Kirchhoff integral theorem and analyzing the shape of ultrasound beams and propagation characteristics in a metal container wall, this study presents a model for calculating the echo sound pressure by using the Kirchhoff paraxial approximation theory, based on which and according to different ultrasonic impedance between gas and liquid media, a method for detecting the liquid level from outside of sealed containers is proposed. Then, the proposed method is evaluated through two groups of experiments. In the first group, three kinds of liquid media with different ultrasonic impedance are used as detected objects; the echo sound pressure is calculated by using the proposed model under conditions of four sets of different wall thicknesses. The changing characteristics of the echo sound pressure in the entire detection process are analyzed, and the effects of different ultrasonic impedance of liquids on the echo sound pressure are compared. In the second group, taking water as an example, two transducers with different radii are selected to measure the liquid level under four sets of wall thickness. Combining with sound field characteristics, the influence of different size transducers on the pressure calculation and detection resolution are discussed and analyzed. Finally, the experimental results indicate that measurement uncertainly is better than ±5 mm, which meets the industrial inspection requirements. View Full-Text
Keywords: ultrasonic; sealed containers; liquid level; detecting model ultrasonic; sealed containers; liquid level; detecting model
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Zhang, B.; Song, W.-A.; Wei, Y.-J.; Zhang, D.-S.; Liu, W.-Y. A Study on the Model of Detecting the Liquid Level of Sealed Containers Based on Kirchhoff Approximation Theory. Sensors 2017, 17, 1394.

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