TY - EJOU
AU - Liu, Chein-Shan
TI - An Efficient Simultaneous Estimation of Temperature-Dependent Thermophysical Properties
T2 - Computer Modeling in Engineering \& Sciences
PY - 2006
VL - 14
IS - 2
SN - 1526-1506
AB - In this paper we derive the first-order and second-order one-step GPS applied to the estimation of thermophysical properties. Solving the resultant algebraic equations, which usually converges within ten iterations, it is not difficult to estimate the unknown temperature-dependent thermal conductivity and heat capacity simultaneously, if some supplemented data of measured temperature at a time *T* is provided. When the measured temperature in the conducting slab is contaminated by noise, our estimated results are also good. The new method does not require any prior information on the functional forms of thermal conductivity and heat capacity. Numerical examples are examined to show that the new approaches, namely the one-step estimation method (OSEM), have high accuracy and efficiency even there are only few measured data.
KW - One-step Group preserving scheme
KW - Inverse heat conduction problem
KW - Estimation of thermophysical properties
DO - 10.3970/cmes.2006.014.077