Realization of Thermal Inertia in Frequency Domain

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...

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Main Authors: Boe-Shong Hong, Chia-Yu Chou
Format: Article
Language:English
Published: MDPI AG 2014-02-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/16/2/1101
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author Boe-Shong Hong
Chia-Yu Chou
author_facet Boe-Shong Hong
Chia-Yu Chou
author_sort Boe-Shong Hong
collection DOAJ
description 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.
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spelling doaj.art-85c243a57d0d4302b6e845dc23c539af2022-12-22T02:10:09ZengMDPI AGEntropy1099-43002014-02-011621101112110.3390/e16021101e16021101Realization of Thermal Inertia in Frequency DomainBoe-Shong Hong0Chia-Yu Chou1Department of Mechanical Engineering, National Chung Cheng University, No. 168, Sec. 1, University Rd., Min-Hsiung, Chia-Yi 62102, TaiwanDepartment of Mechanical Engineering, National Chung Cheng University, No. 168, Sec. 1, University Rd., Min-Hsiung, Chia-Yi 62102, TaiwanTo 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.http://www.mdpi.com/1099-4300/16/2/1101thermal inductanceelectro-thermal analogyrenewable energynon-Fourier heat transfer2D classical control
spellingShingle Boe-Shong Hong
Chia-Yu Chou
Realization of Thermal Inertia in Frequency Domain
Entropy
thermal inductance
electro-thermal analogy
renewable energy
non-Fourier heat transfer
2D classical control
title Realization of Thermal Inertia in Frequency Domain
title_full Realization of Thermal Inertia in Frequency Domain
title_fullStr Realization of Thermal Inertia in Frequency Domain
title_full_unstemmed Realization of Thermal Inertia in Frequency Domain
title_short Realization of Thermal Inertia in Frequency Domain
title_sort realization of thermal inertia in frequency domain
topic thermal inductance
electro-thermal analogy
renewable energy
non-Fourier heat transfer
2D classical control
url http://www.mdpi.com/1099-4300/16/2/1101
work_keys_str_mv AT boeshonghong realizationofthermalinertiainfrequencydomain
AT chiayuchou realizationofthermalinertiainfrequencydomain