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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 41, 2002 - Issue 6
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Original Articles

A NUMERICAL SCHEME FOR NON-FOURIER HEAT CONDUCTION, PART II: TWO-DIMENSIONAL PROBLEM FORMULATION AND VERIFICATION

Tung T. Lam The Aerospace Corporation, El Segundo, California, USA
&
Wing K. Yeung The Aerospace Corporation, El Segundo, California, USA
Pages 543-564 | Published online: 30 Nov 2010

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Zheng-Gang Su, Xiao-Ping Luo & Hong-Liang Yi. (2018) The direct collocation meshless method based on a second-order phonon Boltzmann equation for ballistic–diffusive phonon heat transport. Numerical Heat Transfer, Part B: Fundamentals 73:4, pages 225-241.
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Cheng-Ying Lo. (2011) A Study of Two-Step Heat Conduction in Laser Heating Using the Hybrid Differential Transform Method. Numerical Heat Transfer, Part B: Fundamentals 59:2, pages 130-146.
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Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
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Cheng-Ying Lo & Bo-Yo Chen. (2009) Application of Hybrid Differential Transform/Control-Volume Method to Hyperbolic Heat Conduction Problems. Numerical Heat Transfer, Part B: Fundamentals 55:3, pages 219-231.
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Jianhua Zhou, Yuwen Zhang & J. K. Chen. (2008) Non-Fourier Heat Conduction Effect on Laser-Induced Thermal Damage in Biological Tissues. Numerical Heat Transfer, Part A: Applications 54:1, pages 1-19.
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M. A. Fahmy. (2008) Thermoelastic Stresses in a Rotating Non-Homogeneous Anisotropic Body. Numerical Heat Transfer, Part A: Applications 53:9, pages 1001-1011.
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Javier Flores Méndez, Aurelio H. Heredia Jiménez, Gustavo M. Minquiz, A. Morales-Sánchez, Mario Moreno, José Alberto Luna López, Francisco Severiano & A. C. Piñón Reyes. (2023) Phononic Band Structure by Calculating Effective Parameters of One-Dimensional Metamaterials. Crystals 13:6, pages 931.
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Zheng-Yang Li, Tian-Xue Ma, A-Li Chen, Yue-Sheng Wang & Chuanzeng Zhang. (2020) Thermal wave crystals based on the dual-phase-lag model. Results in Physics 19, pages 103371.
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Guillaume Lambou Ymeli, Hervé Thierry Tagne Kamdem, Réné Tchinda & Myriam Lazard. (2019) Analytical layered solution of radiation and non–Fourier conduction problems in optically complex media. International Journal of Heat and Mass Transfer 145, pages 118712.
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Yang, Wang, Tian & Chen. (2019) Analysis and Modelling of Non-Fourier Heat Behavior Using the Wavelet Finite Element Method. Materials 12:8, pages 1337.
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A-Li Chen, Zheng-Yang Li, Tian-Xue Ma, Xiao-Shuang Li & Yue-Sheng Wang. (2018) Heat reduction by thermal wave crystals. International Journal of Heat and Mass Transfer 121, pages 215-222.
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Amin Moosaie, Gholamali Atefi & Abas Ali Fardad. (2008) Two-dimensional non-Fourier heat conduction with arbitrary initial and periodic boundary conditions. Forschung im Ingenieurwesen 72:2, pages 67-76.
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Amin Moosaie. (2008) Non-Fourier heat conduction in a finite medium subjected to arbitrary non-periodic surface disturbance. International Communications in Heat and Mass Transfer 35:3, pages 376-383.
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Amin Moosaie. (2007) Non-Fourier heat conduction in a finite medium subjected to arbitrary periodic surface disturbance. International Communications in Heat and Mass Transfer 34:8, pages 996-1002.
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R.J. Goldstein, E.R.G. Eckert, W.E. Ibele, S.V. Patankar, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, A. Bar-Cohen, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F.A. Kulacki, U. Kortshagen, S. Garrick & V. Srinivasan. (2005) Heat transfer—a review of 2002 literature. International Journal of Heat and Mass Transfer 48:5, pages 819-927.
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X. Ai & B.Q. Li. (2004) A discontinuous finite element method for hyperbolic thermal wave problems. Engineering Computations 21:6, pages 577-597.
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Wing Yeung & Tung Lam. (2004) A Numerical Scheme for Solving Two-Dimensional Thermal Propagation in Composites. A Numerical Scheme for Solving Two-Dimensional Thermal Propagation in Composites.

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