Inverse Heat Transfer Using Levenberg-Marquardt and Particle Swarm Optimization Methods for Heat Source Estimation

• DOI: 10.4028/www.scientific.net/amm.15.35
• Publication Date: 2009-09-01T06:23:06Z
• Authors: O. Cortés; G. Urquiza; J. Alfredo Hernández
• Keywords: 01 natural sciences; 0104 chemical sciences

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.