Dynamic Calibration of a Thin-Film Heat-Flux Sensor in Time and Frequency Domains

This paper mainly studies the model design of a thin-film heat-flux sensor (TFHFS), and focuses on the comparison of three dynamic calibration methods. The primary motivation for studying this came from the urgent need for heat-flux dynamic measurements in extreme environments, and the one-sidedness...

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Main Authors: Zhiling Li, Jianping Yin, Gao Wang, Haijian Liang, Congchun Zhang, Manguo Huang, Yundong Liu, Jie Zhang
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/22/14/5294
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author Zhiling Li
Jianping Yin
Gao Wang
Haijian Liang
Congchun Zhang
Manguo Huang
Yundong Liu
Jie Zhang
author_facet Zhiling Li
Jianping Yin
Gao Wang
Haijian Liang
Congchun Zhang
Manguo Huang
Yundong Liu
Jie Zhang
author_sort Zhiling Li
collection DOAJ
description This paper mainly studies the model design of a thin-film heat-flux sensor (TFHFS), and focuses on the comparison of three dynamic calibration methods. The primary motivation for studying this came from the urgent need for heat-flux dynamic measurements in extreme environments, and the one-sidedness of the dynamic performance evaluation of the corresponding TFHFS. The dynamic theoretical model of the TFHFS was originally established on the principle of a temperature gradient on the basis of a thermal radiation boundary. Then, a novel TFHFS sensor was developed, which can be used at temperatures above 880 °C and has a high sensitivity of 2.0 × 10<sup>−5</sup> mV/(W/m<sup>2</sup>). It can function stably for long durations under a heat-flux density of 3 MW/m<sup>2</sup>. The steady-state, transient, and frequency calibration of a TFHFS were compared to comprehensively analyze the dynamic characteristics of the TFHFS. The steady-state response time measured by the step excitation method was found to be 0.978 s. The QR decomposition method was applied to the steady-state response experimental model construction, and the fitting degree of a second-order transfer function model obtained was 98.61%. Secondly, the transient response time of the TFHFS was 0.31 ms based on the pulse-excitation method. The transient relationship between the surface temperature and the heat flux, and the pulse-width dependence of the TFHFS transient response time were established. Surprisingly, the response frequency of the TFHFS, about 3000 Hz, was efficiently tested using the frequency response function (FRF), which benefitted from the harmonic characteristics of a periodic square-wave excitation signal. Finally, a comprehensive evaluation of the dynamic performance of the TFHFS was realized.
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spelling doaj.art-ec5c925e68874ec5b99d881d9563244a2023-12-01T22:40:25ZengMDPI AGSensors1424-82202022-07-012214529410.3390/s22145294Dynamic Calibration of a Thin-Film Heat-Flux Sensor in Time and Frequency DomainsZhiling Li0Jianping Yin1Gao Wang2Haijian Liang3Congchun Zhang4Manguo Huang5Yundong Liu6Jie Zhang7College of Mechatronics Engineering, North University of China, Taiyuan 030051, ChinaCollege of Mechatronics Engineering, North University of China, Taiyuan 030051, ChinaSchool of Information and Communication Engineering, North University of China, Taiyuan 030051, ChinaState Key Laboratory of Dynamic Measurement Technology, North University of China, Taiyuan 030051, ChinaNational Key Laboratory of Science and Technology on Micro/Nano Fabrication, Shanghai Jiao Tong University, Shanghai 200240, ChinaAviation Industry Beijing Great Wall Aviation Measurement and Control Technology Research Institute, Beijing 100176, ChinaSchool of Information and Communication Engineering, North University of China, Taiyuan 030051, ChinaSchool of Information and Communication Engineering, North University of China, Taiyuan 030051, ChinaThis paper mainly studies the model design of a thin-film heat-flux sensor (TFHFS), and focuses on the comparison of three dynamic calibration methods. The primary motivation for studying this came from the urgent need for heat-flux dynamic measurements in extreme environments, and the one-sidedness of the dynamic performance evaluation of the corresponding TFHFS. The dynamic theoretical model of the TFHFS was originally established on the principle of a temperature gradient on the basis of a thermal radiation boundary. Then, a novel TFHFS sensor was developed, which can be used at temperatures above 880 °C and has a high sensitivity of 2.0 × 10<sup>−5</sup> mV/(W/m<sup>2</sup>). It can function stably for long durations under a heat-flux density of 3 MW/m<sup>2</sup>. The steady-state, transient, and frequency calibration of a TFHFS were compared to comprehensively analyze the dynamic characteristics of the TFHFS. The steady-state response time measured by the step excitation method was found to be 0.978 s. The QR decomposition method was applied to the steady-state response experimental model construction, and the fitting degree of a second-order transfer function model obtained was 98.61%. Secondly, the transient response time of the TFHFS was 0.31 ms based on the pulse-excitation method. The transient relationship between the surface temperature and the heat flux, and the pulse-width dependence of the TFHFS transient response time were established. Surprisingly, the response frequency of the TFHFS, about 3000 Hz, was efficiently tested using the frequency response function (FRF), which benefitted from the harmonic characteristics of a periodic square-wave excitation signal. Finally, a comprehensive evaluation of the dynamic performance of the TFHFS was realized.https://www.mdpi.com/1424-8220/22/14/5294thin-film heat-flux sensordynamic theoretical modelsteady-state responseQR decomposition methodtransient responsefrequency response function
spellingShingle Zhiling Li
Jianping Yin
Gao Wang
Haijian Liang
Congchun Zhang
Manguo Huang
Yundong Liu
Jie Zhang
Dynamic Calibration of a Thin-Film Heat-Flux Sensor in Time and Frequency Domains
Sensors
thin-film heat-flux sensor
dynamic theoretical model
steady-state response
QR decomposition method
transient response
frequency response function
title Dynamic Calibration of a Thin-Film Heat-Flux Sensor in Time and Frequency Domains
title_full Dynamic Calibration of a Thin-Film Heat-Flux Sensor in Time and Frequency Domains
title_fullStr Dynamic Calibration of a Thin-Film Heat-Flux Sensor in Time and Frequency Domains
title_full_unstemmed Dynamic Calibration of a Thin-Film Heat-Flux Sensor in Time and Frequency Domains
title_short Dynamic Calibration of a Thin-Film Heat-Flux Sensor in Time and Frequency Domains
title_sort dynamic calibration of a thin film heat flux sensor in time and frequency domains
topic thin-film heat-flux sensor
dynamic theoretical model
steady-state response
QR decomposition method
transient response
frequency response function
url https://www.mdpi.com/1424-8220/22/14/5294
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