A study of heat conduction in structural ceramic materials. Part III. Mathematical model of measuring cell

The process of heat propagation in a specimen is considered in an approximation of a one-dimensional heat flow with side leakages of heat. They are modelled as a function of the heat sources (sinks). The chosen stationary heating and the temperature field in the specimen are described by a nonlinear...

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Published inRefractories and industrial ceramics Vol. 41; no. 3-4; pp. 140 - 143
Main Authors ABRAITIS, R. J, DARGIS, A. K, RUSYATSKAS, A. A, SAKALAUSKAS, E. I
Format Journal Article
LanguageEnglish
Published New York, NY Plenum 01.04.2000
Springer Nature B.V
Subjects
Applied sciences
Building materials. Ceramics. Glasses
Ceramic industries
Ceramics
Chemical industry and chemicals
Conduction
Differential equations
Exact sciences and technology
Heat conduction
Heat transfer
Mathematical analysis
Mathematical models
Nonlinearity
Structural ceramics
Studies
Technical ceramics
Measuring instrument
Thermal properties
Thermal conductivity
Mathematical model
Modeling
Structural ceramic
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Summary:The process of heat propagation in a specimen is considered in an approximation of a one-dimensional heat flow with side leakages of heat. They are modelled as a function of the heat sources (sinks). The chosen stationary heating and the temperature field in the specimen are described by a nonlinear one-dimensional differential equation. The boundary conditions and the source function are determined from experimental data. The nonlinear one-dimensional differential equation is used in an implicit identification method and solved numerically; a minimum of the quality criterion is determined at each iteration step in the search procedure. The identification procedure is performed by explicit and implicit methods of solution of inverse problems of heat conduction. A numerical simulation has shown that the method of component-wise minimization is the most efficient.[PUBLICATION ABSTRACT]
Bibliography:ObjectType-Article-1
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ISSN:1083-4877
1573-9139
DOI:10.1007/BF02693773