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

A study of heat conduction in structural ceramic materials. Part III. Mathematical model of... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Refractories and Industrial Ceramics Springer Journals

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

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Publisher
Springer Journals
Copyright
Copyright © 2000 by Kluwer Academic/Plenum Publishers
Subject
Chemistry; Characterization and Evaluation of Materials; Materials Science; Ceramics, Glass, Composites, Natural Methods
ISSN
1083-4877
eISSN
1573-9139
D.O.I.
10.1007/BF02693773
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Refractories and Industrial CeramicsSpringer Journals

Published: Aug 26, 2007

References

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