Thermophysical characterization of materials at high temperatures by solving inverse problems within the Bayesian framework of statistics

IF 1.1 4区 工程技术 Q4 Engineering
P. Masson, H. Orlande
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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.
在贝叶斯统计框架内通过求解逆问题来研究高温下材料的热物理特性
反传热问题处理的参数或函数的估计出现在热学问题的数学公式,利用测量的因变量的公式。逆问题对于热物理性质的间接测量非常有用,特别是在涉及高温的具有挑战性的情况下,必须考虑耦合的多物理现象和非线性。本文综述了反问题的基本概念。在统计贝叶斯框架内的解决技术被简要地描述和应用于两个逆问题有关的作者在高温下估计热物理性质的经验。
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来源期刊
High Temperatures-high Pressures
High Temperatures-high Pressures THERMODYNAMICS-MECHANICS
CiteScore
1.00
自引率
9.10%
发文量
6
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.
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