Mathematical Modeling of the Errors of Measurements of the Thermal Properties of Insulating Material by the Plane “Instantaneous” Heat Source Method

Optimization of Measurements of the Thermophysical Properties of Thermally Insulating Materials

“…A method is created for selection of optimal heat pulse duration, conditions for processing of experimental data, and basic design size of a measuring instrument.Over the last decade, a number of studies have dealt with the development and modernization of techniques and equipment for measuring the thermal properties of materials based on so-called instantaneous heat source methods [1][2][3][4][5][6][7][8][9][10][11][12]. Mathematically, a real heat source of duration 2-6 sec is considered to be instantaneous and is specifi ed by a Dirac delta function [2, 3, 6, 13], i.e., with a very short duration on the order of 0-0.1 sec.…”

“…(5), the formula for calculating the thermal conductivity becomes Choice of Optimal γ and τ p . In accordance with the recommendations of [2,3,6,10,15], the following equations were obtained for calculating the mean square relative deviations δ a and δ λ of the measured thermal diffusivity a and thermal conductivity λ:…”