Relevant bibliographies by topics / Non-Fourier heat conduction

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Non-Fourier heat conduction'

Author: Grafiati
Published: 4 June 2021
Last updated: 27 July 2025

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Journal articles on the topic "Non-Fourier heat conduction"

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Pysarenko, O. "NON-FOURIER HEAT CONDUCTION IN TWO-DIMENSIONAL MEDIA." Mechanics And Mathematical Methods 7, no. 1 (2025): 90–102. https://doi.org/10.31650/2618-0650-2025-6-1-90-102.

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Real-time heat distribution and phase transformation based on operating conditions and material properties can be estimated using heat equations. The corresponding characteristic functions are used to analyze heat conduction processes in various fields, including laser and electron beam processing. A powerful universal analytical and numerical method that transforms partial differential equations into a coupled system of ordinary differential equations is the wavelet transform method. Fourier and non-Fourier heat equations can be implemented for both equilibrium and non-equilibrium thermodynam
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Fülöp, Tamás, Róbert Kovács, Ádám Lovas, et al. "Emergence of Non-Fourier Hierarchies." Entropy 20, no. 11 (2018): 832. http://dx.doi.org/10.3390/e20110832.

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The non-Fourier heat conduction phenomenon on room temperature is analyzed from various aspects. The first one shows its experimental side, in what form it occurs, and how we treated it. It is demonstrated that the Guyer-Krumhansl equation can be the next appropriate extension of Fourier’s law for room-temperature phenomena in modeling of heterogeneous materials. The second approach provides an interpretation of generalized heat conduction equations using a simple thermo-mechanical background. Here, Fourier heat conduction is coupled to elasticity via thermal expansion, resulting in a particul
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Wang, Fei Fei, and B. Wang. "Current Research Progress in Non-Classical Fourier Heat Conduction." Applied Mechanics and Materials 442 (October 2013): 187–96. http://dx.doi.org/10.4028/www.scientific.net/amm.442.187.

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Classical Fourier law can accurately describe most heat conduction problems. But for ultrafast heat conduction process and micro/nanoscale heat conduction problems, non-classical Fourier (non-Fourier) effect may become dominated. The paper gives a review on the current progress on non-Fourier heat conduction in engineering. It includes basic concept, physical models, thermal relaxation effect, and related experiments. Also introduced are the solution methods of non-Fourier heat conduction equations, including closed-form solution, finite difference method, finite element method, molecular dyna
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Zhang, Jingjie, Xiangfei Meng, Jin Du, et al. "Modelling and Prediction of Cutting Temperature in the Machining of H13 Hard Steel of Transient Heat Conduction." Materials 14, no. 12 (2021): 3176. http://dx.doi.org/10.3390/ma14123176.

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Cutting heat conduction undergoes three stages that include intensity transient-state, transient-state, and steady-states. Especially during machining with coated cutting tools, in the conduction process, cutting heat needs to pass through a few micron thick coatings and then flow into the tool body. This heat conduction presents typical non-Fourier heat conduction characteristics. This paper focuses on the cutting temperature in transient heat conduction with a coated tool. A new analytical model to characterize the thermal shock based on the non-Fourier heat conduction was proposed. The dist
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Guo, Zeng-Yuan, and Yun-Sheng Xu. "Non-Fourier Heat Conduction in IC Chip." Journal of Electronic Packaging 117, no. 3 (1995): 174–77. http://dx.doi.org/10.1115/1.2792088.

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Instead of the classic Fourier equation based on diffusion, a hyperbolic equation based on a wave model has been used to predict the rapid transient heat conduction in IC chips. The peak temperature, spatial difference, and time variation of temperature, which are critical to thermal reliability of the chip, are given and compared with that obtained from the Fourier equation. Analytical and numerical results show that non-Fourier effects, including the higher peak temperature and thermal stress, greater temperature difference between components, and stronger thermal noise, are significant to I
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Zhang, Xiaomin, Song Peng, Long Zhang, Zimin Yan, Yuan Liang, and Bo Yan. "VARIATIONAL EQUATION OF NON-FOURIER HEAT CONDUCTION." Heat Transfer Research 49, no. 3 (2018): 275–85. http://dx.doi.org/10.1615/heattransres.2018015988.

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Izadpanah, E., S. Talebi, and M. H. Hekmat. "Numerical simulation of non-Fourier effects in combined heat transfer." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 2 (2010): 429–36. http://dx.doi.org/10.1243/09544062jmes2001.

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The non-Fourier effects on transient and steady temperature distribution in combined heat transfer are studied. The processes of coupled conduction and radiation heat transfer in grey, absorbing, emitting, scattering, one-dimensional medium with black boundary surfaces are analysed numerically. The hyperbolic heat conduction equation is solved by flux splitting method, and the radiative transfer equation is solved by P1 approximate method. The transient thermal responses obtained from non-Fourier heat conduction equation are compared with those obtained from the Fourier heat conduction equatio
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Herwig, H., and K. Beckert. "Fourier Versus Non-Fourier Heat Conduction in Materials With a Nonhomogeneous Inner Structure." Journal of Heat Transfer 122, no. 2 (1999): 363–65. http://dx.doi.org/10.1115/1.521471.

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Distinct non-Fourier behavior in terms of finite propagation velocity and a hyperbolic wave like character of heat conduction has been reported for certain materials in several studies published recently. However, there is some doubt concerning these findings. The objective of this note is to present experimental evidence for a perfectly Fourier-like behavior of heat conduction in those materials with nonhomogeneous inner structure that have been under investigation in the other studies. This controversy needs to be settled in order to understand the physics of heat conduction in these materia
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Ipilakyaa, Tertsegha Daniel, Sebastine Aondover Bam, and Livinus Tyovenda Tuleun. "Prediction of Cutting Temperature Distribution in Transient Heat Conduction of Monolayer Coated Tools Based on Non-Fourier Heat Conduction during Machining of H13 Hard Steel." International Journal of Engineering Research & Science 9, no. 8 (2023): 01–10. https://doi.org/10.5281/zenodo.8304147.

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<strong>Abstract&mdash;</strong> A predictive model for transient heat conduction during the machining of hard steel based on non-Fourier heat conduction was developed. A mono layer cutting tool coated with TiN coating of carbide substrate was used with 2&mu;m thickness. The work piece material used was a cylindrical bar of H13 hard steel, 300mm length and 70mm external diameter. The cutting speed range was 35.9-244.4m/min, feed rate of 0.2m/rev and depth of cut of 0.2mm. A developed wireless temperature measurement was employed with the thermocouple sensor embedded in the turning tool. The de
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Vedavarz, Ali, Sunil Kumar, and M. Karim Moallemi. "Significance of Non-Fourier Heat Waves in Conduction." Journal of Heat Transfer 116, no. 1 (1994): 221–24. http://dx.doi.org/10.1115/1.2910859.

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Dissertations / Theses on the topic "Non-Fourier heat conduction"

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Bright, Trevor James. "Non-fourier heat equations in solids analyzed from phonon statistics." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2009. http://hdl.handle.net/1853/29710.

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Thesis (M. S.)--Mechanical Engineering, Georgia Institute of Technology, 2010.<br>Committee Chair: Zhang, Zhuomin; Committee Member: Kumar, Satish; Committee Member: Peterson, G. P. Part of the SMARTech Electronic Thesis and Dissertation Collection.
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Zajíček, Václav. "Vytápění bytového domu." Master's thesis, Vysoké učení technické v Brně. Fakulta stavební, 2019. http://www.nusl.cz/ntk/nusl-392215.

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The thesis is composed of three parts - theoretical, computational and a project part. The theoretical part deals with heat sharing through conduction, flow and radiation. The computational part is focused on the overall calculation of the heating system to operate smoothly and reliably. Three gas condensing boilers are designed as a source of heat. The heating of the water is solved as a reservoir. It's source of heat is one gas condensation boiler. The project part contains a technical report and the project documentation on the stage of the implementation dossier.
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Mukhopadhyay, S., R. Picard, S. Trostorff, and M. Waurick. "On some models in linear thermo-elasticity with rational material laws." Sage, 2016. https://tud.qucosa.de/id/qucosa%3A35516.

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In the present work, we shall consider some common models in linear thermo-elasticity within a common structural framework. Due to the flexibility of the structural perspective we will obtain well-posedness results for a large class of generalized models allowing for more general material properties such as anisotropies, inhomogeneities, etc.
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Weng, Chih-Jung, and 翁志榮. "Heat Transfer Phenomenon of General Non-Fourier Conduction Theory." Thesis, 1996. http://ndltd.ncl.edu.tw/handle/88607321215356060629.

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Lu, Ji-Ye, and 盧基業. "Study of Two-Dimension Non-Fourier Heat Conduction Problems." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/66449816772654382435.

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碩士<br>國立成功大學<br>機械工程學系<br>87<br>Study of Two-Dimension Non-Fourier Heat Conduction Problems Ji-Ye Lu* Han-Taw Chen** Department of Mechanical Engineering National Cheng Kung University Tainan, Taiwan, R.O.C ABSTRACT The hybrid application of the Laplace transform technique and control volume method in conjunction with the least-squares scheme is applied to analyze two-dimension non-Fourier heat conduction problems. In this hybrid numerical scheme, Time-dependent terms in the governing equations are removed by using the Laplace
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Lin, Chien-Yu, and 林倩瑜. "The Study on the Inverse Problems for Non-Fourier Heat Conduction Equation." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/84594324907355859123.

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碩士<br>國立成功大學<br>系統及船舶機電工程學系碩博士班<br>95<br>In practical engineering problem, there exist many physical quantities that are very difficult to measure directly. The techniques for “INVERSE PROBLEM” can be used to solve these kinds of problems. In the present thesis the inverse non-Fourier type heat conduction problems are discussed. In chapter one an inverse problem for hyperbolic heat conduction with a dual-phase-lag model is solved by the Conjugate Gradient Method (CGM) in estimating the unknown heat generation, due to the ultra-short duration laser heating, based on the interior temperature mea
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Po-JenSu and 蘇柏仁. "Application of Residual Correction Method on Non-Fourier Heat Conduction and Thermoelasticity Problems." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/97472620118324780882.

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博士<br>國立成功大學<br>機械工程學系<br>102<br>In scientific research and engineering applications, there exist various kinds of problems of finding solutions are faced, that is, solving governing equations of the desired problems under the given initial conditions and boundary conditions. These governing equations have a wide range of types, including either differential equations or integral equations; either linear equations or nonlinear equations; either a single equation or a set of coupled equations. However, to date, there are many investigators that still pose a challenge for solving some differenti
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Chiu, Chong-Kai, and 邱重凱. "A 2.5D infinite element approach for modeling non-Fourier heat conduction subjected to moving heat sources." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/51824000159926839464.

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碩士<br>國立臺灣大學<br>土木工程學研究所<br>102<br>Heat transfer analysis based on Fourier’s law has often been adopted to analyze the general heat conduction problem. However, it was found that the Fourier model fails to predict the temperature under some extreme conditions, such as rapid changes in temperature or extremely high or low temperatures. The Fourier heat equation implies that the propagation speed is infinite, while the non-Fourier heat equation is governed by the hyperbolic equation, which implies the propagation speed of heat waves is finite. Therefore, it was suggested that the traditional Fou
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Chang, Hung-Yi, and 張宏毅. "A 2.5D approach for modeling non-Fourier heat conduction of solids subjected to moving heat sources." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/67118354537865493023.

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碩士<br>國立臺灣大學<br>土木工程學研究所<br>100<br>Abstract Temperature is an important factor in engineering applications. To solve the temperature distribution of solids or structures, heat transfer analysis based on Fourier’s law has frequently been adopted. With the development of science and technology, heating technologies are applied more widely and more precisely, for example in problems involving laser beams and welding. However, it was found that, in some practical applications such as laser beams with short pulse or heat loads with rapid changes, heat transfer analysis using the traditional Fourie
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Chen, Xiang-Yu, and 陳翔宇. "A 2.5D finite element approach for modeling non-Fourier heat conduction subjected to moving heat sources." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/95752780940837041001.

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碩士<br>國立臺灣大學<br>土木工程學研究所<br>101<br>The classical Fourier model has often been adopted to analyze the heat conduction problem encountered in various engineering situations, which is quite satisfactory for the majority of problems considered. However, it fails to adequately predict the temperature variations in situations with drastic changes in temperature,, extreme temperature gradients, or with temperatures near absolute zero. Because Fourier’s law implies that the propagation speed of thermal disturbances is infinite, which is a paradox from the physical point of view. Therefore, it was sug
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Books on the topic "Non-Fourier heat conduction"

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Zhmakin, Alexander I. Non-Fourier Heat Conduction. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25973-9.

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Wang, Haidong. Theoretical and experimental studies on non-Fourier heat conduction based on thermomass theory. Springer Verlag, 2014.

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Dong, Yuan. Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-48485-2.

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Wang, Hai-Dong. Theoretical and Experimental Studies on Non-Fourier Heat Conduction Based on Thermomass Theory. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-53977-0.

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Wang, Hai-Dong. Theoretical and Experimental Studies on Non-Fourier Heat Conduction Based on Thermomass Theory. Springer, 2014.

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Wang, Hai-Dong. Theoretical and Experimental Studies on Non-Fourier Heat Conduction Based on Thermomass Theory. Springer, 2016.

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Dong, Yuan. Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems. Springer, 2016.

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Dong, Yuan. Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems. Springer, 2015.

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Dong, Yuan. Dynamical Analysis of Non-Fourier Heat Conduction and Its Application in Nanosystems. Springer, 2015.

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Non-Fourier Heat Conduction: From Phase-Lag Models to Relativistic and Quantum Transport. Springer International Publishing AG, 2023.

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Book chapters on the topic "Non-Fourier heat conduction"

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Zhmakin, Alexander I. "Microtemperature and Micromorphic Temperature Models." In Non-Fourier Heat Conduction. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25973-9_6.

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Zhmakin, Alexander I. "Variational Models." In Non-Fourier Heat Conduction. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25973-9_14.

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Zhmakin, Alexander I. "Fractional Derivative Models." In Non-Fourier Heat Conduction. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25973-9_8.

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Zhmakin, Alexander I. "Thermodynamic Models." In Non-Fourier Heat Conduction. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25973-9_7.

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Zhmakin, Alexander I. "Phonon Models." In Non-Fourier Heat Conduction. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25973-9_3.

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Zhmakin, Alexander I. "Mesoscopic Moment Equations." In Non-Fourier Heat Conduction. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25973-9_5.

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Zhmakin, Alexander I. "Phase-Lag Models." In Non-Fourier Heat Conduction. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25973-9_2.

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Zhmakin, Alexander I. "Relativistic Thermodynamics." In Non-Fourier Heat Conduction. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25973-9_15.

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Zhmakin, Alexander I. "Some Exact Solutions." In Non-Fourier Heat Conduction. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25973-9_11.

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Zhmakin, Alexander I. "Green–Kubo Approach." In Non-Fourier Heat Conduction. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-25973-9_17.

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Conference papers on the topic "Non-Fourier heat conduction"

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Tan, Zhi-Ming, and Wen-Jei Yang. "Thermal Wave Propagation in a Thin Membrane Subjected to an Exponentially Growing/Decaying Wall Temperature." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-1325.

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Abstract Propagation of thermal waves in transient heat conduction in a very thin membrane is investigated by solving hyperbolic heat conduction equation. Analytical expressions are obtained for the temperature and heat flux distributions. Numerical computations are performed in order to determine the behavior of temperature and heat flux distributions in transient heat conduction. It is disclosed that in transient heat conduction, a heat pulse propagates as a wave and quickly begins to attenuate in the membrane, the peak of thermal waves has a sharp increase when the wavefronts from two sides
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Wang, Hai-Dong, Bing-Yang Cao, and Zeng-Yuan Guo. "Non-Fourier Heat Conduction in Carbon Nanotubes." In ASME 2009 Second International Conference on Micro/Nanoscale Heat and Mass Transfer. ASMEDC, 2009. http://dx.doi.org/10.1115/mnhmt2009-18182.

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Fourier’s law is a phenomenological law to describe the heat transfer process. Although it has been widely used in a variety of engineering application areas, it is still questionable to reveal the physical essence of heat transfer. In order to describe the heat transfer phenomena universally, Guo has developed a general heat conduction law based on the concept of thermomass, which is defined as the equivalent mass of phonon gas in dielectrics according to Einstein’s mass-energy relation. The general law degenerates into Fourier’s law when the thermal inertia is neglected as the heat flux is n
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Liu, Qi-Xin, Pei-Xue Jiang, and Heng Xiang. "Molecular Dynamics Simulation of Non-Fourier Heat Conduction." In 2007 First International Conference on Integration and Commercialization of Micro and Nanosystems. ASMEDC, 2007. http://dx.doi.org/10.1115/mnc2007-21151.

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Unsteady heat conduction is known to deviate significantly from Fourier’s law when the system time and length scales are within certain temporal and spatial windows of relaxation. Classical molecular dynamics simulations were used to investigate unsteady heat conduction in argon thin films with a sudden temperature increase at one surface to study the non-Fourier heat conduction effects in argon thin films. The studies were conducted with both pure argon films and films with vacancy defects. The temperature profiles in the argon films showed the wave nature of heat propagation. Comparisons of
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Vedavarz, Ali, Kunal Mitra, and Sunil Kumar. "SIGNIFICANCE OF NON-FOURIER CONDUCTION IN LASER SURFACE INTERACTIONS." In International Heat Transfer Conference 10. Begellhouse, 1994. http://dx.doi.org/10.1615/ihtc10.900.

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Wang, B. "Progress in Non-Fourier Heat Conduction at Small Scales." In International Conference on Nanomaterials, Functional and Composite Materials. HKIRIT, 2018. http://dx.doi.org/10.24177/ckconf2017050001.

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Ma, Yanbao. "Equation of Phonon Hydrodynamics for Non-Fourier Heat Conduction." In 44th AIAA Thermophysics Conference. American Institute of Aeronautics and Astronautics, 2013. http://dx.doi.org/10.2514/6.2013-2902.

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Chen, Zengtao, and Wenzhi Yang. "Non-Fourier, nonlocal heat conduction, recent progress and applications." In Canadian Society for Mechanical Engineering International Congress 2023. Université de Sherbrooke. Faculté de génie, 2023. http://dx.doi.org/10.17118/11143/20951.

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Shan, X. D., and Moran Wang. "Understanding of Non-Fourier Conduction Based on Thermon Gas Model." In The 15th International Heat Transfer Conference. Begellhouse, 2014. http://dx.doi.org/10.1615/ihtc15.cnd.009735.

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Lu, Wen-Qiang, and Qing-Mei Fan. "Non-Fourier Heat Conduction Phenomena Applied Different Temperature and Heat Flux Pulses on Boundary." In ASME 2008 First International Conference on Micro/Nanoscale Heat Transfer. ASMEDC, 2008. http://dx.doi.org/10.1115/mnht2008-52287.

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A new numerical method [1], which combines the dual reciprocity boundary element method with Laplace transforms, has been used to solve ultrafast heat conduction problems. By this method, the time micro scale heat transfer problems applied different extreme high frequency temperature and heat flux pulses (the width of a single pulse is less than 10−12 s) on the boundary are simulated in this paper. Numerical results open out some phenomena of non-Fourier heat conduction. “Thermal accumulation (TA)” as a typical phenomenon of non-Fourier heat conduction takes on different characteristics under
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Sharma, Kal Renganathan. "Mesoscopic Heat Conduction and Onset of Periodicity." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47391.

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Mesoscopic approach deals with study that considers temporal fluctuations which is often averaged out in a macroscopic approach without going into the molecular or microscopic approach. Transient heat conduction cannot be fully described by Fourier representation. The non-Fourier effects or finite speed of heat propagation effect is accounted for by some investigators using the Cattaneo and Vernotte non-Fourier heat conduction equation: q=−k∂T/∂x−τr∂q/∂t(1) A generalized expression to account for the non-Fourier or thermal inertia effects suggested by Sharma (5) as: q=−k∂T/∂x−τr∂q/∂t−τr2/2!∂2q
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