Inverse Heat Transfer Using Levenberg-Marquardt and Particle Swarm Optimization Methods for Heat Source Estimation
The present work uses the Levenberg-Marquardt Method (LMM) and a Particle Swarm Optimization (PSO) for estimating the heat generation function for a Guarded Hot-Plate Apparatus (GHPA). This device is used for thermal conductivity determination of insulating materials. The problem is one-dimensional in cylindrical coordinates. Geometries are a disc (Hot-Plate) and an annulus (Guard). A heat generation function is estimated considering one to five parameters. Capability of each method for recovering the analytical function is tested. Results are satisfactory for this kind of problem.
G. Urriolagoitia-Calderón, L. H. Hernández-Gómez and M. Toledo-Velázquez
O. Cortés et al., "Inverse Heat Transfer Using Levenberg-Marquardt and Particle Swarm Optimization Methods for Heat Source Estimation", Applied Mechanics and Materials, Vol. 15, pp. 35-40, 2009