Effects of Thermo-Physically Initial Properties on Inverse Heat Conduction Problem

Abstract:

The Levenberg-Marguardt algorithm is used to study effects on convergence for inverse heat conduction in the unsteady state. In this model, the finite volume method is usedto obtain anestimated temperature, which is necessary for minimizing inverse error. To validate the model, constant thermal conductivity (k) and heat capacity (ρCpC) are identified from a semi-infinite slab subjected to constant heat flux. These properties are inserted into the theoretical equation for a semi-infinite slab, and an analytical solution is obtained by solving the theoretical equation including the two identified properties. The analytical solution and the identified resultare in very good agreement. Three simulations were performed to investigate the sensitivity of computation time and conversion to initial thermo-physical values by changing three different damping ratios of the Levenberg-Marquardt algorithm. Our results show that agood initial guessallowsgood convergence, but convergence time decreases as the value of damping ratio decreases.A poor initial guess results in more convergence time, and causes divergence when a small damping ratio is used. Once the simulation converges, our model shows that results areobtained within an error of 0.01%.

• Periodical: Applied Mechanics and Materials (Volumes 284-287)
• Pages: 733-737
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.284-287.733
• Online since: January 2013
• Authors: Sung Deok Hong, Mi Gyung Cho, Chan Soo Kim, Cheol Ho Bai, Sung Yull Hong, Jae Sool Shim
• Keywords: Convergence Time, Inverse Heat Conduction , Levenberg-Marguardt Algorithm

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