Abstract

Temperature, especially temperature distribution, is one of the most fundamental and vital parameters for theoretical study and control of various industrial applications. In this paper, ultrasonic thermometry to reconstruct temperature distribution is investigated, referring to the dependence of ultrasound velocity on temperature. In practical applications of this ultrasonic technique, reconstruction algorithm based on least square method is commonly used. However, it has a limitation that the amount of divided blocks of measure area cannot exceed the amount of effective travel paths, which eventually leads to its inability to offer sufficient temperature information. To make up for this defect, an improved reconstruction algorithm based on least square method and multiquadric interpolation is presented. And then, its reconstruction performance is validated via numerical studies using four temperature distribution models with different complexity and is compared with that of algorithm based on least square method. Comparison and analysis indicate that the algorithm presented in this paper has more excellent reconstruction performance, as the reconstructed temperature distributions will not lose information near the edge of area while with small errors, and its mean reconstruction time is short enough that can meet the real-time demand.

Highlights

  • To make up for this defect, an improved reconstruction algorithm based on least square method and multiquadric interpolation is presented

  • Its reconstruction performance is validated via numerical studies using four temperature distribution models with different complexity and is compared with that of algorithm based on least square method

  • Temperature, especially temperature distribution is one of the most fundamental and vital parameters for theoretical study and control of various industrial applications, of which related to burning and heating

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Summary

Introduction

Temperature, especially temperature distribution is one of the most fundamental and vital parameters for theoretical study and control of various industrial applications, of which related to burning and heating. Temperature distribution always immediately influences the combustion efficiency of pulverized coal, the structure and state of reaction, and the safety of operation [4,5,6] Apart from these applications of industrial furnaces, temperature distribution and its reconstruction during combustion are of great interest in automotive and aerospace industries as well, because engine properties need to be monitored via studying flame dynamics [7, 8]. As flames in high-temperature combustions region generally become invisible, special and effective measurement techniques are required greatly to identify the combustion state [9] It can be concluded from the above examples that scientific research, economic benefits, ecological environment, and security requirements have aroused a strong need for improving thermometry techniques in industry fields

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