An integral method for solving the inverse problem of heat conduction in porous materials

Book · Sun Oct 01 04:00:00 EDT 1995

OSTI ID:100873

Cerny, R; Toman, J; Vodak, F ^[1]

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1. Czech Technical Univ., Prague (Czech Republic). Dept. of Physics

An integral method for solving the inverse problem of heat conduction in porous materials is presented in the paper. The method is based on the analysis of the temperature field measured at a one-sided heating. It needs typically 6--8 temperature vs. position curves for specified times and uses a double-integration treatment. The method is verified in two ways. One of them is based on the numerical tests consisting in a reverse substitution of the calculated dependence of thermal conductivity on temperature into the heat-conduction equation, and a subsequent comparison of calculated temperature fields with measured ones. In another way, the computed results of thermal conductivity are compared with those obtained experimentally by independent direct methods at some lower reference temperatures. Similar tests are also performed with several other methods for solving the heat-conduction inverse problem which were derived sooner. The results of testing the proposed integral method show that it is applicable for computations quite well and its numerical stability is evidently better in comparison with the previously used differential methods.

• OSTI ID: 100873
• Report Number(s): CONF-950116--; ISBN 0-7918-1296-0
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
CALCULATION METHODS
EXPERIMENTAL DATA
INTEGRALS
POROUS MATERIALS
TEMPERATURE DEPENDENCE
THEORETICAL DATA
THERMAL CONDUCTION
THERMAL CONDUCTIVITY
VERIFICATION