SIMULTANEOUS ESTIMATION OF TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY AND HEAT CAPACITY FOR THE CYLINDRICAL FINS
Abstract
Levenberg – Marquardt Method (LMM) is presented in this paper to estimate the temperaturedependent thermal conductivity and heat capacity for the cylindrical fin simultaneously. The undetermined thermophysical properties are expressed as the polynomial function with unknown parameters. The accuracy of this inverse problem is investigated by two numerical examples. The average relative errors between estimated and exact value of thermal conductivity and heat capacity for the largest measurement error σ = 0.25 are 0.130 % and 0.173 % for the first example and 0.128 % and 0.164 % for the second example. The obtained results showed that Levenberg – Marquardt Method is an accurate and robust method to estimate simultaneously the temperature-dependent thermal conductivity and heat capacity for the cylinder fin.
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