Yang Hong, Yicheng Ma, Yifeng Wu, Shuangcheng Sun, Shuang Wen, Zhiqiang Sun
{"title":"非高斯噪声下参与介质中随时间变化的热通量和温度分布的快速无创测量","authors":"Yang Hong, Yicheng Ma, Yifeng Wu, Shuangcheng Sun, Shuang Wen, Zhiqiang Sun","doi":"10.1016/j.ijthermalsci.2025.110112","DOIUrl":null,"url":null,"abstract":"<div><div>The particle filter (PF) and extended particle filter (EPF) techniques are proposed to resolve the real-time estimated of the aerothermal heat flux and temperature fields of the thermal protection system (TPS) for the hypersonic vehicle. The TPS is regarded as a typical participating medium. The radiation heat transfer in the participating medium is computed by the Rosseland diffusion model. The finite volume method is utilized to solve the energy equation to obtain measurement temperature. Based on the measurement temperature signal, the Particle filtering technique is applied to reconstruct the surface heat flux and inner temperature field of the TPS. Four typical non-Gaussian noises are added to the simulated temperature signal to investigate the tracking ability and stability of the proposed algorithms. The influence of the measured noise, measured noised covariance, process noise covariance, time step, and number of the particle on the estimated results are discussed in detail. The calculated results indicate that even though the actual time-dependent heat flux measured by NASA is considered, an acceptable estimated result can still be obtained based on the EPF and PF techniques. The normalized root mean square errors of the actual heat flux reconstructed by PF and EPF are 5.45 % and 2.55 %, and the average relative errors of the reconstructed temperature field are 0.1 % and 0.043 %, respectively. All the estimation results illustrate that EPF technique has better tracking ability and robustness compare with the PF method.</div></div>","PeriodicalId":341,"journal":{"name":"International Journal of Thermal Sciences","volume":"217 ","pages":"Article 110112"},"PeriodicalIF":4.9000,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Rapid non-invasive measurement of the time-dependent heat flux and temperature distribution in participating medium under non-Gaussian noise\",\"authors\":\"Yang Hong, Yicheng Ma, Yifeng Wu, Shuangcheng Sun, Shuang Wen, Zhiqiang Sun\",\"doi\":\"10.1016/j.ijthermalsci.2025.110112\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The particle filter (PF) and extended particle filter (EPF) techniques are proposed to resolve the real-time estimated of the aerothermal heat flux and temperature fields of the thermal protection system (TPS) for the hypersonic vehicle. The TPS is regarded as a typical participating medium. The radiation heat transfer in the participating medium is computed by the Rosseland diffusion model. The finite volume method is utilized to solve the energy equation to obtain measurement temperature. Based on the measurement temperature signal, the Particle filtering technique is applied to reconstruct the surface heat flux and inner temperature field of the TPS. Four typical non-Gaussian noises are added to the simulated temperature signal to investigate the tracking ability and stability of the proposed algorithms. The influence of the measured noise, measured noised covariance, process noise covariance, time step, and number of the particle on the estimated results are discussed in detail. The calculated results indicate that even though the actual time-dependent heat flux measured by NASA is considered, an acceptable estimated result can still be obtained based on the EPF and PF techniques. The normalized root mean square errors of the actual heat flux reconstructed by PF and EPF are 5.45 % and 2.55 %, and the average relative errors of the reconstructed temperature field are 0.1 % and 0.043 %, respectively. All the estimation results illustrate that EPF technique has better tracking ability and robustness compare with the PF method.</div></div>\",\"PeriodicalId\":341,\"journal\":{\"name\":\"International Journal of Thermal Sciences\",\"volume\":\"217 \",\"pages\":\"Article 110112\"},\"PeriodicalIF\":4.9000,\"publicationDate\":\"2025-06-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Thermal Sciences\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1290072925004351\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MECHANICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Thermal Sciences","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1290072925004351","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}
Rapid non-invasive measurement of the time-dependent heat flux and temperature distribution in participating medium under non-Gaussian noise
The particle filter (PF) and extended particle filter (EPF) techniques are proposed to resolve the real-time estimated of the aerothermal heat flux and temperature fields of the thermal protection system (TPS) for the hypersonic vehicle. The TPS is regarded as a typical participating medium. The radiation heat transfer in the participating medium is computed by the Rosseland diffusion model. The finite volume method is utilized to solve the energy equation to obtain measurement temperature. Based on the measurement temperature signal, the Particle filtering technique is applied to reconstruct the surface heat flux and inner temperature field of the TPS. Four typical non-Gaussian noises are added to the simulated temperature signal to investigate the tracking ability and stability of the proposed algorithms. The influence of the measured noise, measured noised covariance, process noise covariance, time step, and number of the particle on the estimated results are discussed in detail. The calculated results indicate that even though the actual time-dependent heat flux measured by NASA is considered, an acceptable estimated result can still be obtained based on the EPF and PF techniques. The normalized root mean square errors of the actual heat flux reconstructed by PF and EPF are 5.45 % and 2.55 %, and the average relative errors of the reconstructed temperature field are 0.1 % and 0.043 %, respectively. All the estimation results illustrate that EPF technique has better tracking ability and robustness compare with the PF method.
期刊介绍:
The International Journal of Thermal Sciences is a journal devoted to the publication of fundamental studies on the physics of transfer processes in general, with an emphasis on thermal aspects and also applied research on various processes, energy systems and the environment. Articles are published in English and French, and are subject to peer review.
The fundamental subjects considered within the scope of the journal are:
* Heat and relevant mass transfer at all scales (nano, micro and macro) and in all types of material (heterogeneous, composites, biological,...) and fluid flow
* Forced, natural or mixed convection in reactive or non-reactive media
* Single or multi–phase fluid flow with or without phase change
* Near–and far–field radiative heat transfer
* Combined modes of heat transfer in complex systems (for example, plasmas, biological, geological,...)
* Multiscale modelling
The applied research topics include:
* Heat exchangers, heat pipes, cooling processes
* Transport phenomena taking place in industrial processes (chemical, food and agricultural, metallurgical, space and aeronautical, automobile industries)
* Nano–and micro–technology for energy, space, biosystems and devices
* Heat transport analysis in advanced systems
* Impact of energy–related processes on environment, and emerging energy systems
The study of thermophysical properties of materials and fluids, thermal measurement techniques, inverse methods, and the developments of experimental methods are within the scope of the International Journal of Thermal Sciences which also covers the modelling, and numerical methods applied to thermal transfer.