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

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Refractories and Industrial Ceramics Aims and scope

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.

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References

  1. Ya. A. Bal’tsevich, A. A. Rusyatskas, Vishnyauskas et al., “Effect of high-temperature heating on the effective heat conduction in MgO ceramics,”Tru. Akad. Nauk Lit. SSR, Ser. B, 6(175), 108–111(1989).

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  2. V. P. Isachenko, V. A. Osipova, and A. S. Sukomel,Heat Transfer [in Russian], énergoizdat, Moscow (1981).

  3. A. A. Samarskii,An Introduction to Numerical Methods [in Russian], Nauka, Moscow (1982).

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Authors and Affiliations

  1. Lithuanian Institute of Architecture and Construction, Lithuania

    R. I. Abraitis, A. K. Dargis, A. A. Rusyatskas & é. I. Sakalauskas

Authors
  1. R. I. Abraitis
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  2. A. K. Dargis
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  3. A. A. Rusyatskas
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  4. é. I. Sakalauskas
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Additional information

Translated from Ogneupory i Tekhnicheskaya Keramika, No. 4, pp. 39–42, April, 2000.

Part I appeared in No. 8, 1999, and Part II in No. 2, 2000.

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Abraitis, R.I., Dargis, A.K., Rusyatskas, A.A. et al. A study of heat conduction in structural ceramic materials. Part III. Mathematical model of measuring cell. Refract Ind Ceram 41, 140–143 (2000). https://doi.org/10.1007/BF02693773

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  • DOI: https://doi.org/10.1007/BF02693773

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