Measurement of thermal relaxation and temperature damping time in a solid

Abstract

Differential equations of heat conductance of solid body are presented, a result of Fourier, Cattaneo–Vernotte, and two-phase delay hypotheses. The experimental set-up and automated measuring system is described for the study of transient thermal processes in solid. The solution of the boundary problem of the third kind is given with differential equations of heat conductance of parabolic and hyperbolic types. The results of experimental and theoretical study of transient thermal processes in the plate center are given in the sudden immersion into a hot environment. Based on the comparison of theoretical transient processes with recorded automated measuring system, the adequacy of hypotheses and corresponding differential equations of heat conductance are concluded with respect to short-term transient processes. Thermal relaxation and temperature damping constants for polymethyl methacrylate are measured.