Author(s)

L. P. Kanevce, G. H. Kanevce & V. B. Mitrevski

Abstract

This paper deals with surface heat flux estimation on the basis of transient temperature measurements using inverse method. As a direct problem the transient heat conduction through a plane slab isolated at one boundary and exposed to the heat flux on the other side is considered. The numerical experiments have been conducted in order to simulate real measurements. The inverse problem consists of heat flux estimation on the basis of experimental temperature response. The objective function, which has to be minimized in order to estimate unknown heat flux, is the least square function of experimental and calculated temperature data. A variant of genetic algorithm has been used for minimization of the objective function. Different convergence histories are presented, compared and discussed. Also, comparison between estimated heat flux change and exact solution and comparison between calculated and experimental transient temperature response are presented. Keywords: genetic algorithm, heat flux, inverse problems, parameter estimation. 1 Introduction An inverse approach to parameter estimation in the last few decades has become widely used in various scientific disciplines: like mechanical engineering, heat and mass transfer, fluid mechanics, optimization of the processes, optimal shape defining etc. By inverse method, on the basis of known effects, causes have to be defined, in contrast to the standard, direct method when causes are known and effects have to be determined. Application of inverse method is especially important in investigation of the processes where necessary direct measurements

Keywords

genetic algorithm, heat flux, inverse problems, parameter estimation