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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 44, 2003 - Issue 1
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Original Articles

COMPARISON OF TWO METHODS FOR SOLVING RADIATIVE HEAT TRANSFER IN A GRADIENT INDEX SEMITRANSPARENT SLAB

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Pages 83-99 | Published online: 02 Feb 2011

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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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Hong-Liang Yi, He-Ping Tan, Hao-Chun Zhang & Jian-Feng Luo. (2006) Ray-Tracing/Nodal-Analyzing Model for Transient Thermal Behavior of a Scattering Medium with a Variable Refractive Index. Numerical Heat Transfer, Part A: Applications 49:6, pages 607-634.
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Xin-Lin Xia, De-Peng Ren & He-Ping Tan. (2006) A Curve Monte Carlo Method for Radiative Heat Transfer in Absorbing and Scattering Gradient-Index Medium. Numerical Heat Transfer, Part B: Fundamentals 50:2, pages 181-192.
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Lin-Feng Qian, Yu-Kun Ji, Ze-Yu Zhu, Di Wu, Guang-Ming Xu & Yong Huang. (2022) Inverse estimation of wall temperature measurement under dispersion medium shielding based on CMA-ES algorithm. Science and Technology for Energy Transition 77, pages 16.
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Lin-Yang Wei, Hong Qi, Yang Li, Shuang Wen, Ya-Tao Ren, Md Arafat Islam & Li-Ming Ruan. (2019) Improved integral equation method based on radiation distribution factors for high-resolution radiative intensity in graded index media. International Journal of Thermal Sciences 138, pages 393-404.
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Lin-Yang Wei, Hong Qi, Ya-Tao Ren, Jian-Ping Sun, Shuang Wen & Li-Ming Ruan. (2018) Application of hybrid SPSO-SQP algorithm for simultaneous estimation of space-dependent absorption coefficient and scattering coefficient fields in participating media. International Journal of Thermal Sciences 124, pages 424-432.
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Guo-jun Li & Lin-Yang Wei. (2018) Chebyshev collocation spectral method for radiative transfer in participating media with variable physical properties. Infrared Physics & Technology 88, pages 48-56.
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Linyang Wei, Hong Qi, Jianping Sun, Yatao Ren & Liming Ruan. (2017) Spectral collocation method with a flexible angular discretization scheme for radiative transfer in multi-layer graded index medium. Infrared Physics & Technology 82, pages 144-153.
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Lin-Yang Wei, Hong Qi, Ya-Tao Ren & Li-Ming Ruan. (2017) A modified spectral method for simulating arbitrary directional radiative intensity in participating media with graded refractive index. International Journal of Heat and Mass Transfer 106, pages 167-176.
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Yong Huang, Guo-Dong Shi & Ke-Yong Zhu. (2016) Runge–Kutta ray tracing technique for solving radiative heat transfer in a two-dimensional graded-index medium. Journal of Quantitative Spectroscopy and Radiative Transfer 176, pages 24-33.
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Cheng-An Wang & Jian-Yu Tan. (2015) One-Dimensional Transient Radiative Transfer in Complex Semitransparent Medium by Meshless Method. Journal of Thermophysics and Heat Transfer 29:3, pages 610-619.
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Jing Ma, Ya-Song Sun & Ben-Wen Li. (2014) Completely Spectral Collocation Solution of Radiative Heat Transfer in an Anisotropic Scattering Slab With a Graded Index Medium. Journal of Heat Transfer 136:1.
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Cheng-An Wang, Hamou Sadat & Vital Le Dez. (2012) Meshless method for solving multidimensional radiative transfer in graded index medium. Applied Mathematical Modelling 36:11, pages 5309-5319.
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Ke-Yong Zhu, Yong Huang & Jun Wang. (2012) Integral moment method for radiative transfer in a one-dimensional nonlinear anisotropic scattering medium with graded index. International Journal of Thermal Sciences 59, pages 58-65.
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Ke-Yong Zhu, Yong Huang & Jun Wang. (2011) Curved ray tracing method for one-dimensional radiative transfer in the linear-anisotropic scattering medium with graded index. Journal of Quantitative Spectroscopy and Radiative Transfer 112:3, pages 377-383.
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Yong Huang, Kai Wang & Jun Wang. (2009) Two Methods for Solving Radiative Transfer in a Two-Dimensional Graded-Index Medium. Journal of Thermophysics and Heat Transfer 23:4, pages 703-710.
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Yong Huang, Ke-Yong Zhu & Jun Wang. (2009) Temperature field of radiative equilibrium in a two-dimensional graded index medium with gray boundaries. Journal of Quantitative Spectroscopy and Radiative Transfer 110:12, pages 1013-1026.
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Ya-Song Sun & Ben-Wen Li. (2009) Chebyshev collocation spectral method for one-dimensional radiative heat transfer in graded index media. International Journal of Thermal Sciences 48:4, pages 691-698.
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R.J. Goldstein, 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 & V. Srinivasan. (2006) Heat transfer—A review of 2003 literature. International Journal of Heat and Mass Transfer 49:3-4, pages 451-534.
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Yong Huang & Xin-Gang Liang. (2006) Approximate Thermal Emission Models of a Two-Dimensional Gradient Index Semitransparent Medium. Journal of Thermophysics and Heat Transfer 20:1, pages 52-58.
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Yong Huang, Xin-Gang Liang & Xin-Lin Xia. (2005) Monte Carlo simulation of radiative transfer in scattering, emitting, absorbing slab with gradient index. Journal of Quantitative Spectroscopy and Radiative Transfer 92:1, pages 111-120.
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P. M. Kowalski & D. Saumon. (2004) Radiative Transfer in the Refractive Atmospheres of Very Cool White Dwarfs. The Astrophysical Journal 607:2, pages 970-981.
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. (2004) Radiation with Mixed Convection in an Absorbing, Emitting, and Anisotropic Scattering Medium. Journal of Thermophysics and Heat Transfer 18:2, pages 279-281.
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