{"title":"Thermophysical characterization of materials at high temperatures by solving inverse problems within the Bayesian framework of statistics","authors":"P. Masson, H. Orlande","doi":"10.32908/hthp.v50.973","DOIUrl":null,"url":null,"abstract":"Inverse heat transfer problems deal with the estimation of parameters or functions appearing in the mathematical formulation of problems in thermal sciences, by utilizing measurements of dependent variables of the formulation. Inverse problems are extremely useful for the indirect measurement of thermophysical properties, in particular for challenging situations involving high temperatures, where coupled multi-physics phenomena and nonlinearities must be taken into account. In this paper, basic inverse problem concepts are reviewed. Solution techniques within the Bayesian framework of statistics are briefly described and applied to two inverse problems related to the authors� experience on the estimation of thermophysical properties at high temperatures.","PeriodicalId":12983,"journal":{"name":"High Temperatures-high Pressures","volume":"1 1","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"High Temperatures-high Pressures","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.32908/hthp.v50.973","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
Inverse heat transfer problems deal with the estimation of parameters or functions appearing in the mathematical formulation of problems in thermal sciences, by utilizing measurements of dependent variables of the formulation. Inverse problems are extremely useful for the indirect measurement of thermophysical properties, in particular for challenging situations involving high temperatures, where coupled multi-physics phenomena and nonlinearities must be taken into account. In this paper, basic inverse problem concepts are reviewed. Solution techniques within the Bayesian framework of statistics are briefly described and applied to two inverse problems related to the authors� experience on the estimation of thermophysical properties at high temperatures.
期刊介绍:
High Temperatures – High Pressures (HTHP) is an international journal publishing original peer-reviewed papers devoted to experimental and theoretical studies on thermophysical properties of matter, as well as experimental and modelling solutions for applications where control of thermophysical properties is critical, e.g. additive manufacturing. These studies deal with thermodynamic, thermal, and mechanical behaviour of materials, including transport and radiative properties. The journal provides a platform for disseminating knowledge of thermophysical properties, their measurement, their applications, equipment and techniques. HTHP covers the thermophysical properties of gases, liquids, and solids at all temperatures and under all physical conditions, with special emphasis on matter and applications under extreme conditions, e.g. high temperatures and high pressures. Additionally, HTHP publishes authoritative reviews of advances in thermophysics research, critical compilations of existing data, new technology, and industrial applications, plus book reviews.