Abstract

This work deals with the identification of thermophysical properties with the line heat source probe developed by Blackwell in 1954 [1]. Such method, which is now a standard ASTM method [2],[3], relies on large time transient temperature measurements to identify the thermal conductivity of granular materials or viscous liquids. In this work we present a mathematical model that enables the estimation of the material volumetric heat capacity, in addition to the thermal conductivity, by using temperature measurements taken at short and long times. The complex step method [4] is utilized in order to verify the accuracy of the sensitivity coefficients computed with finite differences. Actual temperature measurements taken with a line heat source probe are used for estimating the properties of quartz sand. Results obtained with the developed approach are compared to those obtained with the classical method.

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