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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 39, 2001 - Issue 4
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Original Articles

RADIATION ELEMENT METHOD FOR TRANSIENT HYPERBOLIC RADIATIVE TRANSFER IN PLANE-PARALLEL INHOMOGENEOUS MEDIA

Zhixiong Guo, Sunil Kumar
Pages 371-387 | Published online: 29 Oct 2010

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Read on this site (17)

Satya Prakash Kar & Prasenjit Rath. (2016) A Conduction–Radiation Mixture Model for Laser-Assisted Phase Change of Semitransparent Material. Heat Transfer Engineering 37:16, pages 1427-1438.
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Cun-Hai Wang, Yong Zhang, Hong-Liang Yi & He-Ping Tan. (2016) Transient radiative transfer in two-dimensional graded index medium by Monte Carlo method combined with the time shift and superposition principle. Numerical Heat Transfer, Part A: Applications 69:6, pages 574-588.
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Cun-Hai Wang, Qing Ai, Hong-Liang Yi & He-Ping Tan. (2015) Transient Radiative Transfer in a Graded Index Medium with Specularly Reflecting Surfaces. Numerical Heat Transfer, Part A: Applications 67:11, pages 1232-1252.
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Masato Akamatsu & Zhixiong Guo. (2013) Comparison of Transmitted Pulse Trains Predicted by Duhamel's Superposition Theorem and Direct Pulse Simulation in a 3-D Discrete Ordinates System. Numerical Heat Transfer, Part B: Fundamentals 63:3, pages 189-203.
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R. Muthukumaran, SubhashC. Mishra, S. Maruyama & Kunal Mitra. (2011) Assessment of Signals from a Tissue Phantom Subjected to Radiation Sources of Temporal Spans of the Order of a Nano-, Pico-, and Femto-Second—A Numerical Study. Numerical Heat Transfer, Part A: Applications 60:2, pages 154-170.
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Masato Akamatsu & Zhixiong Guo. (2011) Ultrafast Radiative Heat Transfer in Three-Dimensional Highly-Scattering Media Subjected to Pulse Train Irradiation. Numerical Heat Transfer, Part A: Applications 59:9, pages 653-671.
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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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Atsushi Sakurai, SubhashC. Mishra & Shigenao Maruyama. (2010) Radiation Element Method Coupled with the Lattice Boltzmann Method Applied to the Analysis of Transient Conduction and Radiation Heat Transfer Problem with Heat Generation in a Participating Medium. Numerical Heat Transfer, Part A: Applications 57:5, pages 346-368.
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R. Muthukumaran & SubhashC. Mishra. (2009) Analysis of the Transport of a Train of Short-Pulse Radiation of Gaussian Temporal Profile Through a 2-D Participating Medium. Heat Transfer Engineering 30:14, pages 1197-1207.
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R. Muthukumaran & SubhashC. Mishra. (2008) Radiative Transfer of a Short-Pulse Laser Wave of Gaussian Temporal Profile through a Two-Dimensional Participating Medium Containing Inhomogeneities of Different Shapes at Various Locations. Numerical Heat Transfer, Part A: Applications 54:5, pages 546-567.
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R. Muthukumaran & SubhashC. Mishra. (2008) Effects of the Incidence of a Gaussian Temporal Short-Pulse Laser of Different Spatial Profiles on a Two-Dimensional, Rectangular, Inhomogeneous Participating Medium. Numerical Heat Transfer, Part A: Applications 54:5, pages 525-545.
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R. Muthukumaran & SubhashC. Mishra. (2007) Interaction of a Short-Pulse Laser of a Gaussian Temporal Profile with an Inhomogeneous Medium. Numerical Heat Transfer, Part A: Applications 53:6, pages 625-640.
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Rajpreet Singh, SubhashC. Mishra, NitishK. Roy, Nakul Singh Shekhawat & Kunal Mitra. (2007) An Insight Into The Modeling of Short-Pulse Laser Transport Through A Participating Medium. Numerical Heat Transfer, Part B: Fundamentals 52:4, pages 373-385.
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D. R. Rousse. (2007) Numerical predictions of short-pulsed laser transport in absorbing and scattering media. I—A time-based approach with flux limiters. International Journal of Computational Fluid Dynamics 21:7-8, pages 247-254.
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Kyunghan Kim & Zhixiong Guo. (2004) ULTRAFAST RADIATION HEAT TRANSFER IN LASER TISSUE WELDING AND SOLDERING. Numerical Heat Transfer, Part A: Applications 46:1, pages 23-40.
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P. Rath, S. C. Mishra, P. Mahanta, U. K. Saha & K. Mitra. (2003) DISCRETE TRANSFER METHOD APPLIED TO TRANSIENT RADIATIVE TRANSFER PROBLEMS IN PARTICIPATING MEDIUM. Numerical Heat Transfer, Part A: Applications 44:2, pages 183-197.
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John C. Chai. (2003) ONE-DIMENSIONAL TRANSIENT RADIATION HEAT TRANSFER MODELING USING A FINITE-VOLUME METHOD. Numerical Heat Transfer, Part B: Fundamentals 44:2, pages 187-208.
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Articles from other publishers (29)

Cun-Hai Wang, Yong Zhang, Hong-Liang Yi & Ming Xie. (2017) Analysis of transient radiative transfer induced by an incident short-pulsed laser in a graded-index medium with Fresnel boundaries. Applied Optics 56:7, pages 1861.
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Kunal Mitra & Stephanie MillerKunal Mitra & Stephanie Miller. 2017. Short Pulse Laser Systems for Biomedical Applications. Short Pulse Laser Systems for Biomedical Applications 1 12 .
Jaona H. Randrianalisoa, Leonid A. Dombrovsky, Wojciech Lipiński & Victoria Timchenko. (2014) Effects of short-pulsed laser radiation on transient heating of superficial human tissues. International Journal of Heat and Mass Transfer 78, pages 488-497.
Crossref
Subhash C. Mishra, R. Muthukumaran & S. Maruyama. (2012) Comparison of the thermal effects of the transport of a short-pulse laser and a multi-pulse laser through a participating medium. International Journal of Heat and Mass Transfer 55:21-22, pages 5583-5596.
Crossref
Guihua Wang, Huaichun Zhou, Qiang Cheng, Zhichao Wang & Zhifeng Huang. (2012) Equation-solving DRESOR method for radiative transfer in a plane-parallel, absorbing, emitting, and isotropically scattering medium with transparent boundaries. International Journal of Heat and Mass Transfer 55:13-14, pages 3454-3457.
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Brian Hunter & Zhixiong Guo. (2012) Phase-function normalization for accurate analysis of ultrafast collimated radiative transfer. Applied Optics 51:12, pages 2192.
Crossref
P. Rath & S. K. Mahapatra. (2012) New Formulation of Radiative Flux in Ultrashort Time Scale with its Implications. Journal of Thermophysics and Heat Transfer 26:2, pages 294-299.
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J. Jiao & Z. Guo. (2010) Modeling of ultrashort pulsed laser ablation in water and biological tissues in cylindrical coordinates. Applied Physics B 103:1, pages 195-205.
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Man Young Kim, Suresh Menon & Seung Wook Baek. (2010) On the transient radiative transfer in a one-dimensional planar medium subjected to radiative equilibrium. International Journal of Heat and Mass Transfer 53:25-26, pages 5682-5691.
Crossref
Premaratne Malin. 2010. 1 39 .
Jian Jiao & Zhixiong Guo. (2009) Thermal interaction of short-pulsed laser focused beams with skin tissues. Physics in Medicine and Biology 54:13, pages 4225-4241.
Crossref
Daniel R. Rousse. (2008) A frequency-based numerical approach for unsteady radiative transfer in participating media. Energy Conversion and Management 49:11, pages 3259-3264.
Crossref
R. Muthukumaran & Subhash C. Mishra. (2008) Transient response of a planar participating medium subjected to a train of short-pulse radiation. International Journal of Heat and Mass Transfer 51:9-10, pages 2418-2432.
Crossref
R. Muthukumaran & Subhash C. Mishra. (2008) Transport of a train of short-pulse radiation of step temporal profile through a 2-D participating medium. International Journal of Heat and Mass Transfer 51:9-10, pages 2282-2298.
Crossref
R. Muthukumaran & Subhash C. Mishra. (2008) Thermal signatures of a localized inhomogeneity in a 2-D participating medium subjected to an ultra-fast step-pulse laser wave. Journal of Quantitative Spectroscopy and Radiative Transfer 109:5, pages 705-726.
Crossref
Tuba Okutucu & Yaman Yener. (2007) Participating media exposed to collimated short-pulse irradiation – A Laguerre–Galerkin solution. International Journal of Heat and Mass Transfer 50:21-22, pages 4352-4359.
Crossref
Mathieu Francoeur & Daniel R Rousse. (2007) Short-pulsed laser transport in absorbing and scattering media: time-based versus frequency-based approaches. Journal of Physics D: Applied Physics 40:18, pages 5733-5742.
Crossref
Kyunghan Kim & Zhixiong Guo. (2007) Multi-time-scale heat transfer modeling of turbid tissues exposed to short-pulsed irradiations. Computer Methods and Programs in Biomedicine 86:2, pages 112-123.
Crossref
Kyle D. Smith, Kamal M. Katika & Laurent Pilon. (2007) Maximum time-resolved hemispherical reflectance of absorbing and isotropically scattering media. Journal of Quantitative Spectroscopy and Radiative Transfer 104:3, pages 384-399.
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Gopalendu Pal, Soumyadipta Basu, Kunal Mitra & Tuan Vo-Dinh. (2006) Time-resolved optical tomography using short-pulse laser for tumor detection. Applied Optics 45:24, pages 6270.
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Subhash C. Mishra, Pranshu Chugh, Pranav Kumar & Kunal Mitra. (2006) Development and comparison of the DTM, the DOM and the FVM formulations for the short-pulse laser transport through a participating medium. International Journal of Heat and Mass Transfer 49:11-12, pages 1820-1832.
Crossref
Tuba Okutucu & Yaman Yener. (2006) Radiative transfer in participating media with collimated short-pulse Gaussian irradiation. Journal of Physics D: Applied Physics 39:9, pages 1976-1983.
Crossref
Kamal M. Katika & Laurent Pilon. (2006) Modified method of characteristics in transient radiation transfer. Journal of Quantitative Spectroscopy and Radiative Transfer 98:2, pages 220-237.
Crossref
Ashish Trivedi, Soumyadipta Basu & Kunal Mitra. (2005) Temporal analysis of reflected optical signals for short pulse laser interaction with nonhomogeneous tissue phantoms. Journal of Quantitative Spectroscopy and Radiative Transfer 93:1-3, pages 337-348.
Crossref
Zhixiong Guo, Slew Kan Wan, Kyunghan Kim & Chakravarthi Kosaraju. (2003) Comparing Diffusion Approximation with Radiation Transfer Analysis for Light Transport in Tissues. Optical Review 10:5, pages 415-421.
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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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Zhixiong Guo & Sunil Kumar. (2002) Three-Dimensional Discrete Ordinates Method in Transient Radiative Transfer. Journal of Thermophysics and Heat Transfer 16:3, pages 289-296.
Crossref
Zhixiong Guo, Janice Aber, Bruce A Garetz & Sunil Kumar. (2002) Monte Carlo simulation and experiments of pulsed radiative transfer. Journal of Quantitative Spectroscopy and Radiative Transfer 73:2-5, pages 159-168.
Crossref
Zhixiong Guo & Sunil Kumar. (2001) Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media. Applied Optics 40:19, pages 3156.
Crossref

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