Genetic Algorithm-Based Method for Determination of Temperature-Dependent Thermophysical Properties

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.

The Phenomenon of Superheat of Liquids: In Memory of Vladimir P. Skripov

“…The section of the heating curve corresponding to the single-phase system (t < t * ) may be used for identification of the temperature-dependent thermophysical properties of the liquid from a single pulse experiment {P(t); T (t)}. One way of doing this is to apply a suitable evolutionary method based, for example, on a genetic algorithm [33]. The analysis of the "tail" portion of the boiling-up signal (t > t * ) is also used in a number of applications, such as the estimation of critical parameters for thermally unstable liquids [34] (including gas-saturated oils [35]), comparison of short-time thermal stabilities of polymeric liquids, and probing the content of volatile impurities in oil, including their traces [30][31][32].…”

Optimal Experimental Design for Inverse Identification of Conductive and Radiative Properties of Participating Medium

“…The genetic algorithm (GA), which is widely used for complex, ill-posed problems [25][26][27], was employed to solve the inverse identification problem. Figure 2 shows the block diagram of the GA-based inverse method used to determine parameter vector u.…”

Heat transfer under high-power heating of liquids. 1. Experiment and inverse algorithm

“…GA provides an efficient search for solutions of different types of problems [13], including IHCP [16][17][18][19][20][21], and has shown superior performanc e in locating global optima for multidimen sional problems.…”