Abstract
A new evaluation method based on a genetic algorithm is applied for simultaneous determination of the temperature-dependent thermal conductivity and volumetric heat capacity from transient temperature measurement data at two points according to the cooling down process of a three-layered infinite cylinder. Three test cases are presented defined with the consideration of a proposed measurement concept. The test cases use perfect and noisy artificial measurement data. The direct problem is solved by a finite difference method, which was an elementary step of the inverse solution. As the inverse solution is ill-posed, it is nearly impossible to get reliable final results based on one genetic run (inverse solution). We propose making a ‘map’ of the environment of the global optimum of every searched parameter. Using the map the global optimum can easily be estimated in a very reliable and accurate way. The results show very good agreement even for the case of noisy data between the original material properties (global optimum) and the ones determined by the proposed evaluation method (estimated global optimum). In this way, the proposed method has very good potential in being used with real measurement data. Moreover, the presented genetic algorithm can be an effective tool in a great variety of inverse heat conduction problems.
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Czél, B., Gróf, G. Genetic Algorithm-Based Method for Determination of Temperature-Dependent Thermophysical Properties. Int J Thermophys 30, 1975–1991 (2009). https://doi.org/10.1007/s10765-009-0669-0
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DOI: https://doi.org/10.1007/s10765-009-0669-0