Numerical approaches to the heat transfer problem in modern electronic structures

• Autorzy: Raszkowski T. , Samson A.

Identyfikatory

DOI

171--0.7494/csci.2017.18.1.71

• Języki publikacji: EN

Abstrakty

EN

The main aim of this paper is to present a detailed description of the research related to the modeling of heat conduction in modern electronic structures, including special consideration for numerical aspects of analyzed algorithms. The motivation to undertake the research as well as some of the most-important results of the experiments and simulations are also included. Moreover, a numerical approximation of the problem as well as the methodology used and a sample solution of the mentioned problem are presented. In the main part, the discretization techniques, Ordinary Differential Equation algorithms, and simulation results for Runge-Kutta’s and Gear’s algorithms are analyzed and discussed. Additionally, a new effective approach to the modeling of heat transfer in electronic nanostructures is demonstrated.

Słowa kluczowe

EN

nanoscale heat transfer; Fourier-Kirchhoff equation; dual-phase-lag equation; finite difference method; Runge-Kutta method; gear’s method; thermal analyses

• Wydawca: Wydawnictwa AGH
• Czasopismo: Computer Science
• Rocznik: 2017
• Tom: Vol. 18 (1)
• Strony: 71--93
• Opis fizyczny: Bibliogr. 17 poz., rys., wykr., tab.

Twórcy

autor

Raszkowski T.

• Department of Microelectronics and Computer Science, Lodz University of Technology, ul. Wólczańska 221/223, 90--924, Łódź, Poland

autor

Samson A.

• Department of Microelectronics and Computer Science, Lodz University of Technology, ul. Wólczańska 221/223, 90--924, Łódź, Poland

Bibliografia

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• [3] Chen G.: Ballistic-diffusive equations for transient heat conduction from nano to macroscales. Journal of Heat Transfer , vol. 124(2), pp. 320–328, 2001.
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• [7] Janicki M., Samson A., Raszkowski T., Zubert M., Napieralski A.: Comparison of Green’s function solutions for different heat conduction models in electronic nanostructures. Microelectronics Journal , vol. 46(12A), pp. 1162–1166, 2015.
• [8] Janicki M., Zubert M., Napieralski A.: Convergence of Green’s function heat equation solutions in electronic nanostructures. Proceedings of the 21st International Conference Mixed Design of Integrated Circuits and Systems , pp. 285–288, 2014.
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• [10] Janicki M., Zubert M., Samson A., Raszkowski T., Napieralski A.: Green’s Function Solution for Dual-Phase-Lag Heat Conduction Model in Electric Nanostructures. Proceedings of 31th Annual Semiconductor Thermal Measurement and Management Symposium (SEMI-THERM) , pp. 95–98, 2015.
• [11] Liu S., Xu X., Xie R., Zhang G., Li B.: Anomalous heat conduction and anomalous diffusion in low dimensional nanoscale systems. The European Physical Journal B , vol. 85(10: 337), 2012.
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• [13] Mochnacki B., Paruch M.: Cattaneo-Vernotte Equation. Identification of Relaxation Time Using Evolutionary Algorithms. Journal of Applied Mathematics and Computational Mechanics , vol. 12(4), pp. 97–102, 2013.
• [14] Raszkowski T., Zubert M., Janicki M., Napieralski A.: Numerical solution of 1-D DPL heat transfer equation. Proceedings of the 22nd International Conference Mixed Design of Integrated Circuits and Systems , pp. 436–439, 2015.
• [15] Tzou D.: A Unified Field Approach for Heat Conduction From Macro- to Micro- Scales. Journal of Heat Transfer , vol. 117(1), pp. 8–16, 1995.
• [16] Xu M., Wang L.: Dual-phase-lagging heat conduction based on Boltzmann transport equation. International Journal of Heat and Mass Transfer , vol. 48 (25–26), pp. 5616–5624, 2005.
• [17] Zubert M., Janicki M., Raszkowski T., Samson A., Nowak P., Pomorski K.: The Heat Transport in Nanoelectronic Devices and PDEs Translation into Hardware Description Languages. Bulletin de la Societe des Sciences et des Lettres de Łódź, Serie: Recherches sur les Deformations , vol. 64(3), pp. 69–80, 2014.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).