Algorithm research to identify the thermal conductivity and heat capacity in an inverse heat conduction method

An algorithm, using an unsteady inverse heat conduction method is analyzed to identify instantly the thermal conductivity and volume heat capacity of the building envelope. Using a parameter identification method, a simple identification algorithm of materials thermal parameters, with the model of the constant heat flux in the inner cylinder, is analyzed, and relevant numerical proofs are presented as well. In the mean time, the random and system errors during obtaining temperatures are discussed. If the obtained temperatures are true values, the relative errors between identified values and true values of thermal conductivity and volume heat capacity are respectively 0.11% and 0.16%. If the random and system errors of the temperature are taken into consideration, with reducing of the optimization function J, the identified results of k and C are convergence before divergence. While compared with the identified results of the initial value with rectangular random error, the relative errors with system error are separately larger nearly 17% and 22%, which shows that such problems are more sensitive to the error.