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Entropy and Its Correlations with Other Related Quantities
Entropy 2014, 16(2), 1101-1121; doi:10.3390/e16021101

Realization of Thermal Inertia in Frequency Domain

*  and
Department of Mechanical Engineering, National Chung Cheng University, No. 168, Sec. 1, University Rd., Min-Hsiung, Chia-Yi 62102, Taiwan
* Author to whom correspondence should be addressed.
Received: 23 November 2013 / Revised: 24 January 2014 / Accepted: 17 February 2014 / Published: 20 February 2014
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To realize the lagging behavior in heat conduction observed in these two decades, this paper firstly theoretically excludes the possibility that the underlying thermal inertia is a result of the time delay in heat diffusion. Instead, we verify in experiments the electro-thermal analogy, wherein the thermal inertial is parameterized by thermal inductance that formulates hyperbolic heat-conduction. The thermal hyperbolicity exhibits a special frequency response in Bode plot, wherein the amplitude ratios is kept flat after crossing some certain frequency, as opposed to Fourier heat-conduction. We apply this specialty to design an instrument that reliably identifies thermal inductances of some materials in frequency domain. The instrument is embedded with a DSP-based frequency synthesizer capable of modulating frequencies in utmost high-resolution. Thermal inertia implies a new possibility for energy storage in analogy to inductive energy storage in electricity or mechanics.
Keywords: thermal inductance; electro-thermal analogy; renewable energy; non-Fourier heat transfer; 2D classical control thermal inductance; electro-thermal analogy; renewable energy; non-Fourier heat transfer; 2D classical control
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Hong, B.-S.; Chou, C.-Y. Realization of Thermal Inertia in Frequency Domain. Entropy 2014, 16, 1101-1121.

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