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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 39, 2001 - Issue 3
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Original Articles

TWO-DIMENSIONAL COMBINED CONDUCTION AND RADIATION HEAT TRANSFER: COMPARISON OF THE DISCRETE ORDINATES METHOD AND THE DIFFUSION APPROXIMATION METHODS

Pages 205-225 | Published online: 29 Oct 2010

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SubhashC. Mishra, Rupesh Singh, Praveen Agarwal & Ch. Hari Krishna. (2014) Analysis of Radiative Transport in a 2-D Cylindrical Participating Medium Subjected to Collimated Radiation. Numerical Heat Transfer, Part A: Applications 66:8, pages 884-903.
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Kang Luo, Zhi-Hong Cao, Hong-Liang Yi & He-Ping Tan. (2014) Convection-Radiation Interaction in 3-D Irregular Enclosures Using the Least Squares Finite Element Method. Numerical Heat Transfer, Part A: Applications 66:2, pages 165-184.
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Selim Elhadj, Manyalibo J. Matthews & Steven T. Yang. (2014) Combined Infrared Thermal Imaging and Laser Heating for the Study of Materials Thermophysical and Processing Properties at High Temperatures. Critical Reviews in Solid State and Materials Sciences 39:3, pages 175-196.
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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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Bittagopal Mondal & SubhashC. Mishra. (2007) Application of the Lattice Boltzmann Method and the Discrete Ordinates Method for Solving Transient Conduction and Radiation Heat Transfer Problems. Numerical Heat Transfer, Part A: Applications 52:8, pages 757-775.
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F. Asllanaj, G. Parent & G. Jeandel. (2007) Transient Radiation and Conduction Heat Transfer in a Gray Absorbing-Emitting Medium Applied on Two-Dimensional Complex-Shaped Domains. Numerical Heat Transfer, Part B: Fundamentals 52:2, pages 179-200.
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J. M. Zhao & L. H. Liu. (2007) Second-Order Radiative Transfer Equation and Its Properties of Numerical Solution Using the Finite-Element Method. Numerical Heat Transfer, Part B: Fundamentals 51:4, pages 391-409.
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J. M. Zhao & L. H. Liu. (2006) Least-Squares Spectral Element Method for Radiative Heat Transfer in Semitransparent Media. Numerical Heat Transfer, Part B: Fundamentals 50:5, pages 473-489.
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M. F. G. Cremers, M. J. Remie, K. R. A. M. Schreel & L. P. H. de Goey. (2006) Solution of the Integrated Radiative Transfer Equation for Gray and Nongray Media. Numerical Heat Transfer, Part A: Applications 50:3, pages 205-228.
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Manish Kumar Tiwari, Achintya Mukhopadhyay & Dipankar Sanyal. (2004) NUMERICAL SIMULATION OF OPTIMAL MULTIPLE-INPUT, MULTIPLE-OUTPUT CONTROL OF JET IMPINGEMENT COOLING OF A GLASS PLATE. Numerical Heat Transfer, Part A: Applications 46:4, pages 401-424.
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Articles from other publishers (21)

Wei Jiang, Jiancheng Xu, Li Kunpeng, Ye Ouyang & Jinzhou Yan. (2022) Coupling Heat Conduction and Radiation by an Isogeometric Boundary Element Method in 2-D Structures. Mathematical Problems in Engineering 2022, pages 1-14.
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A. Iglesias, M. Martinez-Agirre, I. Torca, I. Llavori & J.A. Esnaola. (2022) Numerical methodology based on fluid-structure interaction to predict the residual stress distribution in glass tempering considering non-uniform cooling. Computers & Structures 264, pages 106757.
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F. Bouzgarrou, F. Askri, H. Belhaj Ali & S. Ben Nasrallah. (2017) Analyses of unsteady conduction-radiation heat transfer using unstructured Lattice Boltzmann method. International Journal of Thermal Sciences 116, pages 287-309.
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Hua Liu, Rei Kitamura, Xinlin Xia & Laurent Pilon. (2016) Conductive and Radiative Properties of Soda-Lime Silicate Glassmelts with Different Iron Contents from 1100°C to 1500°C. Journal of the American Ceramic Society 99:4, pages 1271-1279.
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R. F. Terlets?kyi, M. B. Brukhal?Yu. V. Nemirovskii. (2014) ??deling and Investigation of the Thermomechanical Behavior of Heat-Sensitive Bodies with Regard for the Influence of Thermal Radiation. Journal of Mathematical Sciences 203:2, pages 265-278.
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B. Le Corre, Anthony Collin, Laëtitia Soudre-Bau, Yves Meshaka & Gérard Jeandel. (2014) Glass sagging simulation with improved calculation of radiative heat transfer by the optimized reciprocity Monte Carlo method. International Journal of Heat and Mass Transfer 70, pages 215-223.
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H. Amiri, S.H. Mansouri & P.J. Coelho. (2012) Application of modified discrete ordinates method to combined conduction‐radiation heat transfer problems in irregular geometries. International Journal of Numerical Methods for Heat & Fluid Flow 22:7, pages 862-879.
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Raoudha Chaabane, Faouzi Askri & Sassi Ben Nasrallah. (2011) Parametric study of simultaneous transient conduction and radiation in a two-dimensional participating medium. Communications in Nonlinear Science and Numerical Simulation 16:10, pages 4006-4020.
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Jian-Feng Luo, Hong-Liang Yi, Sheng-Li Chang & He-Ping Tan. (2010) Radiation and Conduction in an Isotropic Scattering Rectangular Medium With One Semitransparent and Diffusely Reflecting Boundary. Journal of Heat Transfer 132:11.
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H. Amiri, S.H. Mansouri & A. Safavinejad. (2010) Combined conductive and radiative heat transfer in an anisotropic scattering participating medium with irregular geometries. International Journal of Thermal Sciences 49:3, pages 492-503.
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Jian-Feng Luo, Sheng-Li Chang, Jian-Kun Yang & Jun-Cai Yang. (2009) Conduction and radiation in a rectangular isotropic scattering medium with black surfaces by the RTNAM. International Journal of Heat and Mass Transfer 52:21-22, pages 5064-5071.
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Adrian S. Sabau, Chad E. Duty, Ralph B. Dinwiddie, Mark Nichols, Craig A. Blue & Ronald D. Ott. (2009) A radiative transport model for heating paints using high density plasma arc lamps. Journal of Applied Physics 105:8.
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Jian-Feng Luo, Sheng-Li Chang, Jian-Kun Yang, Xi Shen & Garba inoussa. (2008) Transient coupled heat transfer in a rectangular medium with black surfaces. Journal of Quantitative Spectroscopy and Radiative Transfer 109:15, pages 2603-2612.
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Yong-Seok Yoon, Hye-Jung Hong & Myung-Ho Song. (2008) Effect of Contact Conductance and Semitransparent Radiation on Heat Transfer During CVD Process of Semiconductor Wafer. Transactions of the Korean Society of Mechanical Engineers B 32:2, pages 149-157.
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Kamal A.R. Ismail & Carlos T.S. Salinas. (2006) Gray radiative conductive 2D modeling using discrete ordinates method with multidimensional spatial scheme and non-uniform grid. International Journal of Thermal Sciences 45:7, pages 706-715.
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Lacroix David, Berour Nacer, Boulet Pascal & Jeandel Gérard. (2005) Transient radiative and conductive heat transfer in non-gray semitransparent two-dimensional media with mixed boundary conditions. Heat and Mass Transfer 42:4, pages 322-337.
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G. Colomer, M. Costa, R. Cònsul & A. Oliva. (2004) Three-dimensional numerical simulation of convection and radiation in a differentially heated cavity using the discrete ordinates method. International Journal of Heat and Mass Transfer 47:2, pages 257-269.
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Shigenao Maruyama, Yusuke Mori, Chie Chikira & Seigo Sakai. (2003) Combined nongray radiative and conductive heat transfer in multiple glazing taking into account specular reflection and absorption. Heat Transfer—Asian Research 32:8, pages 712-726.
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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, J.V.R Heberlein, J.H Davidson, J Bischof, F.A Kulacki, U Kortshagen & S Garrick. (2003) Heat transfer––a review of 2001 literature. International Journal of Heat and Mass Transfer 46:11, pages 1887-1992.
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David Lacroix, Gilles Parent, Fatmir Asllanaj & G?rard Jeandel. (2002) Coupled radiative and conductive heat transfer in a non-grey absorbing and emitting semitransparent media under collimated radiation. Journal of Quantitative Spectroscopy and Radiative Transfer 75:5, pages 589-609.
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Man Yeong Ha, Kong Hoon Lee, Moon Gun Bae, Jong Rae Cho, Hee Seung Lee & Jin Ho Choi. (2002) Analysis of heat transfer in the rapid thermal processing of the plasma display panel. International Journal of Heat and Mass Transfer 45:11, pages 2303-2314.
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