A method to measure time lag constants of heat conduction equations

• Published in: International communications in heat and mass transfer Vol. 36; no. 2; pp. 186 - 191
• Main Authors: Basirat Tabrizi, H., Andarwa, S.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.02.2009; Elsevier
• Subjects: Accuracy; Condensed matter: structure, mechanical and thermal properties; Conduction; Constants; Exact sciences and technology; Frequency response; Heat conduction; Heat transfer; Mathematical models; Measuring procedure; Non-Fourier; Physics; Semi infinite medium; Steady state; Thermal conduction in nonmetallic liquids; Thermal impedance; Thermal wave; Time lag; Transport properties of condensed matter (nonelectronic); Thermal wave; Frequency response; Semi infinite medium; Thermal impedance; Measuring procedure; Non-Fourier; Temperature distribution; Frequency dependence; Heat equation; Wave forms; Thermal conductivity; Semiinfinite solid; Time lag
• ISSN: 0735-1933; 1879-0178
• DOI: 10.1016/j.icheatmasstransfer.2008.10.010

Technique based on frequency response is suggested for the measuring of time lag constants in heat conduction problem. Steady state temperature distribution at a semi infinite medium subjected to periodic heat flux for non-Fourier, Dual Phase Lag, and T wave models are found and thermal impedances are acquired. The time lags of these models can be found by measuring thermal impedance. Because of the difficulties concerning generating and measuring high frequencies, it is focused on the minimum required frequency to achieve a suitable accuracy. Some notes and a procedure are proposed to determine time lags of mentioned models with desired accuracy.