Coupling radiative heat transfer in participating media with other heat transfer modes

Tencer, John; Howell, John R.

doi:10.1007/s40430-015-0434-1

Title: Coupling radiative heat transfer in participating media with other heat transfer modes

Abstract

The common methods for finding the local radiative flux divergence in participating media through solution of the radiative transfer equation are outlined. The pros and cons of each method are discussed in terms of their speed, ability to handle spectral properties and scattering phenomena, as well as their accuracy in different ranges of media transport properties. The suitability of each method for inclusion in the energy equation to efficiently solve multi-mode thermal transfer problems is discussed. Lastly, remaining topics needing research are outlined.

Authors:

Tencer, John ^[1]; Howell, John R. ^[2]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
The Univ. of Texas at Austin, Austin, TX (United States)

Publication Date:: Mon Sep 28 00:00:00 EDT 2015

Research Org.:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1238655

Report Number(s):: SAND-2015-9436J
Journal ID: ISSN 1678-5878; 607850

Grant/Contract Number:: AC04-94AL85000

Resource Type:: Accepted Manuscript

Journal Name:: Journal of the Brazilian Society of Mechanical Sciences and Engineering (Impresso)

Additional Journal Information:: Journal Name: Journal of the Brazilian Society of Mechanical Sciences and Engineering (Impresso); Journal Volume: 119; Journal Issue: 50; Journal ID: ISSN 1678-5878

Publisher:: Springer

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING; conjugate heat transfer; radiative transfer equation; coupled radiation heat transfer; participating media

Citation Formats


                    Tencer, John, and Howell, John R. Coupling radiative heat transfer in participating media with other heat transfer modes.  United States: N. p., 2015. 
Web.  doi:10.1007/s40430-015-0434-1.

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                    Tencer, John, & Howell, John R. Coupling radiative heat transfer in participating media with other heat transfer modes.  United States.  https://doi.org/10.1007/s40430-015-0434-1

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                    Tencer, John, and Howell, John R. Mon .  
"Coupling radiative heat transfer in participating media with other heat transfer modes".  United States.  https://doi.org/10.1007/s40430-015-0434-1.  https://www.osti.gov/servlets/purl/1238655.

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@article{osti_1238655,

  title        = {Coupling radiative heat transfer in participating media with other heat transfer modes},

  author       = {Tencer, John and Howell, John R.},

  abstractNote = {The common methods for finding the local radiative flux divergence in participating media through solution of the radiative transfer equation are outlined. The pros and cons of each method are discussed in terms of their speed, ability to handle spectral properties and scattering phenomena, as well as their accuracy in different ranges of media transport properties. The suitability of each method for inclusion in the energy equation to efficiently solve multi-mode thermal transfer problems is discussed. Lastly, remaining topics needing research are outlined.},

  doi          = {10.1007/s40430-015-0434-1},

  journal      = {Journal of the Brazilian Society of Mechanical Sciences and Engineering (Impresso)},

  number       = 50,

  volume       = 119,

  place        = {United States},

  year         = {Mon Sep 28 00:00:00 EDT 2015},

  month        = {Mon Sep 28 00:00:00 EDT 2015}

}

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Works referenced in this record:

Relationship between the spectral line based weighted-sum-of-gray-gases model and the full spectrum k-distribution model
journal, August 2014

Chu, Huaqiang; Liu, Fengshan; Consalvi, Jean-Louis
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 143
DOI: 10.1016/j.jqsrt.2014.03.013

Diffusion Approximation for Thermal Radiation in Gases With Jump Boundary Condition
journal, May 1964

Deissler, R. G.
Journal of Heat Transfer, Vol. 86, Issue 2
DOI: 10.1115/1.3687110

Two-Dimensional Radiation in Absorbing-Emitting Media Using the P-N Approximation
journal, May 1983

Ratzel, A. C.; Howell, J. R.
Journal of Heat Transfer, Vol. 105, Issue 2
DOI: 10.1115/1.3245583

Note on the Spherical Harmonic Method As Applied to the Milne Problem for a Sphere
journal, April 1947

Marshak, R. E.
Physical Review, Vol. 71, Issue 7
DOI: 10.1103/PhysRev.71.443

Elliptic PDE formulation and boundary conditions of the spherical harmonics method of arbitrary order for general three-dimensional geometries
journal, June 2008

Modest, Michael F.; Yang, Jun
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 109, Issue 9
DOI: 10.1016/j.jqsrt.2007.12.018

Two-dimensional axisymmetric formulation of high order spherical harmonics methods for radiative heat transfer
journal, May 2015

Ge, Wenjun; Modest, Michael F.; Marquez, Ricardo
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 156
DOI: 10.1016/j.jqsrt.2015.01.013

Asymptotic and variational derivations of the simplified PN equations
journal, September 1993

Pomraning, G. C.
Annals of Nuclear Energy, Vol. 20, Issue 9
DOI: 10.1016/0306-4549(93)90030-S

A Three-Dimensional Time-Dependent Unstructured Tetrahedral-Mesh SP _N Method
journal, July 1996

Morel, J. E.; McGhee, J. M.; Larsen, Edward W.
Nuclear Science and Engineering, Vol. 123, Issue 3
DOI: 10.13182/NSE96-A24196

The Simplified P ₃ Approximation
journal, January 2000

Brantley, Patrick S.; Larsen, Edward W.
Nuclear Science and Engineering, Vol. 134, Issue 1
DOI: 10.13182/NSE134-01

Simplified PN and AN methods in neutron transport
journal, January 2002

Ciolini, R.; Coppa, G. G. M.; Montagnini, B.
Progress in Nuclear Energy, Vol. 40, Issue 2
DOI: 10.1016/S0149-1970(01)00029-4

Simplified spherical harmonic method for coupled electron-photon transport calculations
journal, May 1998

Josef, J. A.; Morel, J. E.
Physical Review E, Vol. 57, Issue 5
DOI: 10.1103/PhysRevE.57.6161

Adaptive solutions of -approximations to radiative heat transfer in glass
journal, November 2005

Klar, Axel; Lang, Jens; Seaïd, Mohammed
International Journal of Thermal Sciences, Vol. 44, Issue 11
DOI: 10.1016/j.ijthermalsci.2005.04.001

The Simplified Spherical Harmonics Method For Radiative Heat Transfer
journal, June 2012

Modest, Michael F.; Lei, Shenghui
Journal of Physics: Conference Series, Vol. 369
DOI: 10.1088/1742-6596/369/1/012019

Elliptic formulation of the Simplified Spherical Harmonics Method in radiative heat transfer
journal, September 2014

Modest, Michael F.; Cai, Jian; Ge, Wenjun
International Journal of Heat and Mass Transfer, Vol. 76
DOI: 10.1016/j.ijheatmasstransfer.2014.04.038

Discrete ordinates quadrature schemes for multidimensional radiative transfer
journal, April 1995

Koch, R.; Krebs, W.; Wittig, S.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 53, Issue 4
DOI: 10.1016/0022-4073(95)90012-8

Evaluation of quadrature schemes for the discrete ordinates method
journal, April 2004

Koch, Rainer; Becker, Ralf
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 84, Issue 4
DOI: 10.1016/S0022-4073(03)00260-7

Transport theory: discrete ordinates quadrature over the unit sphere
report, January 1970

Carlson, Bengt G.
DOI: 10.2172/4083770

A new angular discretization scheme of the finite volume method for 3-D radiative heat transfer in absorbing, emitting and anisotropically scattering media
journal, April 2000

Kim, Seung Hyun; Huh, Kang Y.
International Journal of Heat and Mass Transfer, Vol. 43, Issue 7
DOI: 10.1016/S0017-9310(99)00211-2

The Weighted Diamond-Difference Form of Nodal Transport Methods
journal, January 1988

Azmy, Y. Y.
Nuclear Science and Engineering, Vol. 98, Issue 1
DOI: 10.13182/NSE88-6

Error Comparison of Diamond Difference, Nodal, and Characteristic Methods for Solving Multidimensional Transport Problems with the Discrete Ordinates Approximation
journal, June 2007

Duo, J. I.; Azmy, Y. Y.
Nuclear Science and Engineering, Vol. 156, Issue 2
DOI: 10.13182/NSE05-91

A Comparison of Angular Discretization Techniques for the Radiative Transport Equation
conference, November 2015

Tencer, John
Volume 8B: Heat Transfer and Thermal Engineering
DOI: 10.1115/IMECE2015-50417

The role of ray effects and false scattering on the accuracy of the standard and modified discrete ordinates methods
journal, April 2002

Coelho, P. J.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 73, Issue 2-5
DOI: 10.1016/S0022-4073(01)00202-3

Ray Effect and False Scattering in the Discrete Ordinates Method
journal, December 1993

Chai, John C.; Lee, HaeOk S.; Patankar, Suhas V.
Numerical Heat Transfer, Part B: Fundamentals, Vol. 24, Issue 4
DOI: 10.1080/10407799308955899

The Impact of Reference Frame Orientation on Discrete Ordinates Solutions in the Presence of Ray Effects and a Related Mitigation Technique
conference, November 2014

Tencer, John
Volume 8A: Heat Transfer and Thermal Engineering
DOI: 10.1115/IMECE2014-40445

Spatial and angular finite element method for radiative transfer in participating media
journal, May 2015

Castro, Rafael O.; Trelles, Juan Pablo
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 157
DOI: 10.1016/j.jqsrt.2015.02.008

Combined Conductive and Radiative Heat Transfer in an Absorbing, Emitting, and Scattering Cylindrical Medium
journal, November 1982

Fernandes, R.; Francis, J.
Journal of Heat Transfer, Vol. 104, Issue 4
DOI: 10.1115/1.3245173

Finite Element Solution of Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure With Gray Participating Media
journal, November 1983

Razzaque, M. M.; Klein, D. E.; Howell, J. R.
Journal of Heat Transfer, Vol. 105, Issue 4
DOI: 10.1115/1.3245690

Coupled Radiative and Conductive Heat Transfer in a Two-Dimensional Rectangular Enclosure With Gray Participating Media Using Finite Elements
journal, August 1984

Razzaque, M. M.; Howell, J. R.; Klein, D. E.
Journal of Heat Transfer, Vol. 106, Issue 3
DOI: 10.1115/1.3246723

Finite element formulation of the discrete-ordinates method for multidimensional geometries
journal, July 1994

Fiveland, W. A.; Jessee, J. P.
Journal of Thermophysics and Heat Transfer, Vol. 8, Issue 3
DOI: 10.2514/3.560

Empirical Evaluation of an Important Approximation for Combined-Mode heat Transfer in a Participating Medium Using the Finite-Element Method
journal, April 1995

Burns, Shawn P.; Howell, John R.; Klein, Dale E.
Numerical Heat Transfer, Part B: Fundamentals, Vol. 27, Issue 3
DOI: 10.1080/10407799508914959

Monte Carlo Solution of Thermal Transfer Through Radiant Media Between Gray Walls
journal, February 1964

Howell, J. R.; Perlmutter, M.
Journal of Heat Transfer, Vol. 86, Issue 1
DOI: 10.1115/1.3687044

The Monte Carlo Method in Radiative Heat Transfer
journal, August 1998

Howell, J. R.
Journal of Heat Transfer, Vol. 120, Issue 3
DOI: 10.1115/1.2824310

Integral formulation of null-collision Monte Carlo algorithms
journal, August 2013

Galtier, M.; Blanco, S.; Caliot, C.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 125
DOI: 10.1016/j.jqsrt.2013.04.001

Null Collision Monte Carlo Algorithms: a Meshless Technique to deal with Radiative Problems in Heterogeneous Media
conference, January 2013

Galtier, Mathieu; El Hafi, Mouna; Eymet, Vincent
Proceedings of RAD-13. Proceedings of the 7th International Symposium on Radiative Transfer, June 2-8, 2013, Kusadasi, Turkey
DOI: 10.1615/ICHMT.2013.IntSympRadTransf.50

An Efficient CPU-GPU Implementation of the Multiple Absorption Coefficient Zonal Method (MACZM)
journal, January 2012

Ghannam, Boutros; Nemer, Maroun; Khoury, Khalil El
Numerical Heat Transfer, Part B: Fundamentals, Vol. 62, Issue 6
DOI: 10.1080/10407790.2012.709418

Evaluation of an improved hybrid six-flux/zone model for radiative transfer in rectangular enclosures
journal, December 1995

Sasse, Christian; Koenigsdorff, Roland; Frank, Stefan
International Journal of Heat and Mass Transfer, Vol. 38, Issue 18
DOI: 10.1016/0017-9310(95)00088-Q

Efficient Calculation of Radiation Heat Transfer in Participating Media
journal, April 2008

Hassanzadeh, P.; Raithby, G. D.; Chui, E. H.
Journal of Thermophysics and Heat Transfer, Vol. 22, Issue 2
DOI: 10.2514/1.33271

Advances in the discrete ordinates and finite volume methods for the solution of radiative heat transfer problems in participating media
journal, September 2014

Coelho, Pedro J.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 145
DOI: 10.1016/j.jqsrt.2014.04.021

A new radiation solution method for incorporation in general combustion prediction procedures
journal, January 1981

Lockwood, F. C.; Shah, N. G.
Symposium (International) on Combustion, Vol. 18, Issue 1
DOI: 10.1016/S0082-0784(81)80144-0

The zone method: Explicit matrix relations for total exchange areas
journal, February 1975

Noble, James J.
International Journal of Heat and Mass Transfer, Vol. 18, Issue 2
DOI: 10.1016/0017-9310(75)90158-1

A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media
journal, October 2014

Roger, M.; Caliot, C.; Crouseilles, N.
Journal of Computational Physics, Vol. 275
DOI: 10.1016/j.jcp.2014.06.063

New numerical method for radiation heat transfer in nonhomogeneous participating media
journal, October 1990

Tan, Zhiqiang; Howell, John R.
Journal of Thermophysics and Heat Transfer, Vol. 4, Issue 4
DOI: 10.2514/3.203

Radiative transfer by the YIX method in nonhomogeneous, scattering, and nongray media
journal, July 1993

Hsu, Pei-feng; Tan, Zhiqiang; Howell, John R.
Journal of Thermophysics and Heat Transfer, Vol. 7, Issue 3
DOI: 10.2514/3.444

Benchmark Solutions of Radiative Heat Transfer Within Nonhomogeneous Participating Media Using the Monte Carlo and YIX Method
journal, February 1997

Hsu, Pei-feng; Farmer, J. T.
Journal of Heat Transfer, Vol. 119, Issue 1
DOI: 10.1115/1.2824087

Modified YIX Method and Pseudoadaptive Angular Quadrature for Ray Effects Mitigation
journal, July 2000

Tan, Z. -M.; Hsu, P. -F.; Wu, S. -H.
Journal of Thermophysics and Heat Transfer, Vol. 14, Issue 3
DOI: 10.2514/2.6532

Iterative and direct Chebyshev collocation spectral methods for one-dimensional radiative heat transfer
journal, December 2008

Li, Ben-Wen; Sun, Ya-Song; Yu, Yang
International Journal of Heat and Mass Transfer, Vol. 51, Issue 25-26
DOI: 10.1016/j.ijheatmasstransfer.2008.04.048

Thermal radiation heat transfer in one- and two-dimensional enclosures using the spectral collocation method with full spectrum k-distribution model
journal, April 2014

Ma, Jing; Li, Ben-Wen; Howell, John R.
International Journal of Heat and Mass Transfer, Vol. 71
DOI: 10.1016/j.ijheatmasstransfer.2013.12.009

Analysis of Radiative Equilibrium in a Rectangular Enclosure With Gray Medium
journal, May 1984

Yuen, W. W.; Wong, L. W.
Journal of Heat Transfer, Vol. 106, Issue 2
DOI: 10.1115/1.3246690

Radiative Heat Transfer in Multidimensional Emitting, Absorbing, and Anisotropic Scattering Media—Mathematical Formulation and Numerical Method
journal, February 1989

Tan, Zhiqiang
Journal of Heat Transfer, Vol. 111, Issue 1
DOI: 10.1115/1.3250636

Radiative equilibrium of a gray medium in a rectangular enclosure
journal, September 1973

Glatt, L.; Olfe, D. B.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 13, Issue 9
DOI: 10.1016/0022-4073(73)90128-3

Exact expressions for radiative transfer in a three-dimensional rectangular geometry
journal, December 1982

Crosbie, A. L.; Schrenker, R. G.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 28, Issue 6
DOI: 10.1016/0022-4073(82)90017-6

Radiative transfer in a two-dimensional rectangular medium exposed to diffuse radiation
journal, April 1984

Crosbie, A. L.; Schrenker, R. G.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 31, Issue 4
DOI: 10.1016/0022-4073(84)90095-5

Benchmark Tests of Radiation Transport Computer Codes for Reactor Core and Shield Calculations
journal, January 1978

Asaoka, Takumi; Asano, Norio; Nakamura, Hisashi
Journal of Nuclear Science and Technology, Vol. 15, Issue 1
DOI: 10.1080/18811248.1978.9733200

Transient radiative transfer in three-dimensional homogeneous and non-homogeneous participating media
journal, April 2002

Tan, Z. -M.; Hsu, P. -F.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 73, Issue 2-5
DOI: 10.1016/S0022-4073(01)00221-7

Light-Tissue Interaction and Optical Imaging in Biomedicine
journal, January 1995

Yamada, Yukio
Annual Review of Heat Transfer, Vol. 6, Issue 6
DOI: 10.1615/AnnualRevHeatTransfer.v6.30

On the Relation Between Spherical Harmonics and Simplified Spherical Harmonics Methods
journal, March 2010

Coppa, G. G. M.; Giusti, V.; Montagnini, B.
Transport Theory and Statistical Physics, Vol. 39, Issue 2-4
DOI: 10.1080/00411450.2010.531877

Simplified PN Approximations to the Equations of Radiative Heat Transfer and Applications
journal, December 2002

Larsen, Edward W.; Thömmes, Guido; Klar, Axel
Journal of Computational Physics, Vol. 183, Issue 2
DOI: 10.1006/jcph.2002.7210

Light transport in biological tissue based on the simplified spherical harmonics equations
journal, December 2006

Klose, Alexander D.; Larsen, Edward W.
Journal of Computational Physics, Vol. 220, Issue 1
DOI: 10.1016/j.jcp.2006.07.007

A modification of the differential approximation for radiative transfer.
journal, April 1967

Olfe, D. B.
AIAA Journal, Vol. 5, Issue 4
DOI: 10.2514/3.4041

A Parametric Study of the Accuracy of Several Radiative Transport Solution Methods for a Set of 2-D Benchmark Problems
conference, July 2013

Tencer, John; Howell, John R.
Volume 1: Heat Transfer in Energy Systems; Thermophysical Properties; Theory and Fundamental Research in Heat Transfer
DOI: 10.1115/HT2013-17152

The range of validity of the Rayleigh limit for computing mie scattering and extinction efficiencies
journal, June 1984

Ku, Jerry C.; Felske, James D.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 31, Issue 6
DOI: 10.1016/0022-4073(84)90062-1

Scattering and Extinction Coefficients for Small Absorbing and Nonabsorbing Aerosols*
journal, August 1962

Penndorf, Rudolf B.
Journal of the Optical Society of America, Vol. 52, Issue 8
DOI: 10.1364/JOSA.52.000896

Mie Scattering and Absorption Cross Sections for Absorbing Particles
journal, February 1966

Plass, Gilbert N.
Applied Optics, Vol. 5, Issue 2
DOI: 10.1364/AO.5.000279

An assessment of techniques for predicting radiation transfer in aqueous media
journal, January 1980

Houf, W. G.; Incropera, F. P.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 23, Issue 1
DOI: 10.1016/S0022-4073(80)80009-4

Dirac-delta function approximations to the scattering phase function
journal, April 1985

Crosbie, A. L.; Davidson, G. W.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 33, Issue 4
DOI: 10.1016/0022-4073(85)90200-6

Modeling of radiative transfer using multiple spherical harmonics approximations
journal, June 1988

Mengüç, M. P.; Iyer, R. K.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 39, Issue 6
DOI: 10.1016/0022-4073(88)90090-8

Approximate Solution to Neutron Transport Equation with Linear Anisotropic Scattering
journal, October 1983

Coppa, G.; Ravetto, P.; Sumini, M.
Journal of Nuclear Science and Technology, Vol. 20, Issue 10
DOI: 10.1080/18811248.1983.9733474

The Delta-Eddington Approximation for Radiative Flux Transfer
journal, December 1976

Joseph, J. H.; Wiscombe, W. J.; Weinman, J. A.
Journal of the Atmospheric Sciences, Vol. 33, Issue 12
DOI: 10.1175/1520-0469(1976)033<2452:TDEAFR>2.0.CO;2

Radiative heat transfer from a cylindrical cloud of particles.
journal, October 1968

Stockham, Leo W.; Love, Tom J.
AIAA Journal, Vol. 6, Issue 10
DOI: 10.2514/3.4903

Evaluation of the Radiative Heat Flux in Absorbing, Emitting and Linear-Anisotropically Scattering Cylindrical Media
journal, May 1981

Azad, F. H.; Modest, M. F.
Journal of Heat Transfer, Vol. 103, Issue 2
DOI: 10.1115/1.3244465

Radiative heat transfer in emitting-absorbing-scattering spherical media
journal, April 1987

Tong, Timothy W.; Swathi, Pananjady S.
Journal of Thermophysics and Heat Transfer, Vol. 1, Issue 2
DOI: 10.2514/3.20

A parametric study of radiative heat transfer in pulverised coal furnaces
journal, August 2000

Marakis, J. G.; Papapavlou, C.; Kakaras, E.
International Journal of Heat and Mass Transfer, Vol. 43, Issue 16
DOI: 10.1016/S0017-9310(99)00347-6

Diffusion, P1, and other approximate forms of radiation transport
journal, March 2000

Olson, Gordon L.; Auer, Lawrence H.; Hall, Michael L.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 64, Issue 6
DOI: 10.1016/S0022-4073(99)00150-8

The Treatment of Nongray Properties in Radiative Heat Transfer: From Past to Present
journal, May 2013

Modest, Michael F.
Journal of Heat Transfer, Vol. 135, Issue 6
DOI: 10.1115/1.4023596

Preface to the HITRAN 2012 special issue
journal, November 2013

Gordon, Iouli E.; Rotger, Maud; Tennyson, Jonathan
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 130
DOI: 10.1016/j.jqsrt.2013.07.007

The HITRAN 2004 molecular spectroscopic database
journal, December 2005

Rothman, L. S.; Jacquemart, D.; Barbe, A.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 96, Issue 2
DOI: 10.1016/j.jqsrt.2004.10.008

HITEMP, the high-temperature molecular spectroscopic database
journal, October 2010

Rothman, L. S.; Gordon, I. E.; Barber, R. J.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 111, Issue 15
DOI: 10.1016/j.jqsrt.2010.05.001

Comparison of Models for Correlation of Total Band Absorption
journal, January 1964

Edwards, D. K.; Menard, W. A.
Applied Optics, Vol. 3, Issue 5
DOI: 10.1364/AO.3.000621

Radiation Interchange in a Nongray Enclosure Containing an Isothermal Carbon-Dioxide-Nitrogen Gas Mixture
journal, February 1962

Edwards, D. K.
Journal of Heat Transfer, Vol. 84, Issue 1
DOI: 10.1115/1.3684283

Absorption by Infrared Bands of Carbon Dioxide Gas at Elevated Pressures and Temperatures*
journal, January 1960

Edwards, D. K.
Journal of the Optical Society of America, Vol. 50, Issue 6
DOI: 10.1364/JOSA.50.000617

Correlations for Absorption by Methane and Carbon Dioxide Gases
journal, January 1964

Edwards, D. K.; Menard, W. A.
Applied Optics, Vol. 3, Issue 7
DOI: 10.1364/AO.3.000847

Correlations for Absorption by the 94-μ and 104-μ CO_2 Bands
journal, December 1964

Edwards, D. K.; Sun, W.
Applied Optics, Vol. 3, Issue 12
DOI: 10.1364/AO.3.001501

Correlation of Absorption by Water Vapor at Temperatures from 300°K to 1100 K
journal, June 1965

Edwards, D. K.; Flornes, B. J.; Glassen, L. K.
Applied Optics, Vol. 4, Issue 6
DOI: 10.1364/AO.4.000715

Absorption of Radiation by Carbon Monoxide Gas According to the Exponential Wide-Band Model
journal, October 1965

Edwards, D. K.
Applied Optics, Vol. 4, Issue 10
DOI: 10.1364/AO.4.001352

Thermal radiation by combustion gases
journal, January 1973

Edwards, D. K.; Balakrishnan, A.
International Journal of Heat and Mass Transfer, Vol. 16, Issue 1
DOI: 10.1016/0017-9310(73)90248-2

Random Lorentz Band Model with Exponential-Tailed S^−1 Line-Intensity Distribution Function*
journal, March 1967

Malkmus, W.
Journal of the Optical Society of America, Vol. 57, Issue 3
DOI: 10.1364/JOSA.57.000323

Application of the full spectrum correlated-k distribution approach to modeling non-gray radiation in combustion gases
journal, June 2002

Mazumder, Sandip; Modest, Michael F.
Combustion and Flame, Vol. 129, Issue 4
DOI: 10.1016/S0010-2180(02)00359-0

Full-Spectrum Correlated-k Distribution for Shortwave Atmospheric Radiative Transfer
journal, November 2004

Pawlak, Daniel T.; Clothiaux, Eugene E.; Modest, Michael F.
Journal of the Atmospheric Sciences, Vol. 61, Issue 21
DOI: 10.1175/JAS3285.1

High-accuracy, compact database of narrow-band k-distributions for water vapor and carbon dioxide
journal, June 2005

Wang, Anquan; Modest, Michael F.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 93, Issue 1-3
DOI: 10.1016/j.jqsrt.2004.08.024

The Full-Spectrum Correlated-k Distribution for Thermal Radiation From Molecular Gas-Particulate Mixtures
journal, June 2001

Modest, Michael F.; Zhang, Hongmei
Journal of Heat Transfer, Vol. 124, Issue 1
DOI: 10.1115/1.1418697

The correlated-k method for radiation calculations in nonhomogeneous atmospheres
journal, December 1989

Goody, Richard; West, Robert; Chen, Luke
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 42, Issue 6
DOI: 10.1016/0022-4073(89)90044-7

Application of approximations for joint cumulative k-distributions for mixtures to FSK radiation heat transfer in multi-component high temperature non-LTE plasmas
journal, August 2012

Maurente, André; França, Francis H. R.; Miki, Kenji
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 113, Issue 12
DOI: 10.1016/j.jqsrt.2012.03.018

Quantification of model-form uncertainty in the correlated-k distribution method for radiation heat transfer
journal, August 2014

Tencer, John; Howell, John R.
Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 143
DOI: 10.1016/j.jqsrt.2014.01.020

On Multilayer Modeling of Radiative Transfer for Use With the Multisource k-Distribution Method for Inhomogeneous Media
journal, March 2014

Tencer, John; Howell, John R.
Journal of Heat Transfer, Vol. 136, Issue 6
DOI: 10.1115/1.4026554

A Spectral Line-Based Weighted-Sum-of-Gray-Gases Model for Arbitrary RTE Solvers
journal, November 1993

Denison, M. K.; Webb, B. W.
Journal of Heat Transfer, Vol. 115, Issue 4
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SLW modeling of radiative transfer in multicomponent gas mixtures
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Multilayer modeling of radiative transfer by SLW and CW methods in non-isothermal gaseous medium
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Application of CW local correction approach to SLW modeling of radiative transfer in non-isothermal gaseous media
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DOI: 10.1016/j.jqsrt.2004.08.037

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Title: Coupling radiative heat transfer in participating media with other heat transfer modes

Abstract

Citation Formats

Relationship between the spectral line based weighted-sum-of-gray-gases model and the full spectrum k-distribution model journal, August 2014

Diffusion Approximation for Thermal Radiation in Gases With Jump Boundary Condition journal, May 1964

Two-Dimensional Radiation in Absorbing-Emitting Media Using the P-N Approximation journal, May 1983

Note on the Spherical Harmonic Method As Applied to the Milne Problem for a Sphere journal, April 1947

Elliptic PDE formulation and boundary conditions of the spherical harmonics method of arbitrary order for general three-dimensional geometries journal, June 2008

Two-dimensional axisymmetric formulation of high order spherical harmonics methods for radiative heat transfer journal, May 2015

Asymptotic and variational derivations of the simplified PN equations journal, September 1993

A Three-Dimensional Time-Dependent Unstructured Tetrahedral-Mesh SP N Method journal, July 1996

The Simplified P 3 Approximation journal, January 2000

Simplified PN and AN methods in neutron transport journal, January 2002

Simplified spherical harmonic method for coupled electron-photon transport calculations journal, May 1998

Adaptive solutions of -approximations to radiative heat transfer in glass journal, November 2005

The Simplified Spherical Harmonics Method For Radiative Heat Transfer journal, June 2012

Elliptic formulation of the Simplified Spherical Harmonics Method in radiative heat transfer journal, September 2014

Discrete ordinates quadrature schemes for multidimensional radiative transfer journal, April 1995

Evaluation of quadrature schemes for the discrete ordinates method journal, April 2004

Transport theory: discrete ordinates quadrature over the unit sphere report, January 1970

A new angular discretization scheme of the finite volume method for 3-D radiative heat transfer in absorbing, emitting and anisotropically scattering media journal, April 2000

The Weighted Diamond-Difference Form of Nodal Transport Methods journal, January 1988

Error Comparison of Diamond Difference, Nodal, and Characteristic Methods for Solving Multidimensional Transport Problems with the Discrete Ordinates Approximation journal, June 2007

A Comparison of Angular Discretization Techniques for the Radiative Transport Equation conference, November 2015

The role of ray effects and false scattering on the accuracy of the standard and modified discrete ordinates methods journal, April 2002

Ray Effect and False Scattering in the Discrete Ordinates Method journal, December 1993

The Impact of Reference Frame Orientation on Discrete Ordinates Solutions in the Presence of Ray Effects and a Related Mitigation Technique conference, November 2014

Spatial and angular finite element method for radiative transfer in participating media journal, May 2015

Combined Conductive and Radiative Heat Transfer in an Absorbing, Emitting, and Scattering Cylindrical Medium journal, November 1982

Finite Element Solution of Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure With Gray Participating Media journal, November 1983

Coupled Radiative and Conductive Heat Transfer in a Two-Dimensional Rectangular Enclosure With Gray Participating Media Using Finite Elements journal, August 1984

Finite element formulation of the discrete-ordinates method for multidimensional geometries journal, July 1994

Empirical Evaluation of an Important Approximation for Combined-Mode heat Transfer in a Participating Medium Using the Finite-Element Method journal, April 1995

Monte Carlo Solution of Thermal Transfer Through Radiant Media Between Gray Walls journal, February 1964

The Monte Carlo Method in Radiative Heat Transfer journal, August 1998

Integral formulation of null-collision Monte Carlo algorithms journal, August 2013

Null Collision Monte Carlo Algorithms: a Meshless Technique to deal with Radiative Problems in Heterogeneous Media conference, January 2013

An Efficient CPU-GPU Implementation of the Multiple Absorption Coefficient Zonal Method (MACZM) journal, January 2012

Evaluation of an improved hybrid six-flux/zone model for radiative transfer in rectangular enclosures journal, December 1995

Efficient Calculation of Radiation Heat Transfer in Participating Media journal, April 2008

Advances in the discrete ordinates and finite volume methods for the solution of radiative heat transfer problems in participating media journal, September 2014

A new radiation solution method for incorporation in general combustion prediction procedures journal, January 1981

The zone method: Explicit matrix relations for total exchange areas journal, February 1975

A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media journal, October 2014

New numerical method for radiation heat transfer in nonhomogeneous participating media journal, October 1990

Radiative transfer by the YIX method in nonhomogeneous, scattering, and nongray media journal, July 1993

Benchmark Solutions of Radiative Heat Transfer Within Nonhomogeneous Participating Media Using the Monte Carlo and YIX Method journal, February 1997

Modified YIX Method and Pseudoadaptive Angular Quadrature for Ray Effects Mitigation journal, July 2000

Iterative and direct Chebyshev collocation spectral methods for one-dimensional radiative heat transfer journal, December 2008

Thermal radiation heat transfer in one- and two-dimensional enclosures using the spectral collocation method with full spectrum k-distribution model journal, April 2014

Analysis of Radiative Equilibrium in a Rectangular Enclosure With Gray Medium journal, May 1984

Radiative Heat Transfer in Multidimensional Emitting, Absorbing, and Anisotropic Scattering Media—Mathematical Formulation and Numerical Method journal, February 1989

Radiative equilibrium of a gray medium in a rectangular enclosure journal, September 1973

Exact expressions for radiative transfer in a three-dimensional rectangular geometry journal, December 1982

Radiative transfer in a two-dimensional rectangular medium exposed to diffuse radiation journal, April 1984

Benchmark Tests of Radiation Transport Computer Codes for Reactor Core and Shield Calculations journal, January 1978

Transient radiative transfer in three-dimensional homogeneous and non-homogeneous participating media journal, April 2002

Light-Tissue Interaction and Optical Imaging in Biomedicine journal, January 1995

On the Relation Between Spherical Harmonics and Simplified Spherical Harmonics Methods journal, March 2010

Simplified PN Approximations to the Equations of Radiative Heat Transfer and Applications journal, December 2002

Light transport in biological tissue based on the simplified spherical harmonics equations journal, December 2006

A modification of the differential approximation for radiative transfer. journal, April 1967

A Parametric Study of the Accuracy of Several Radiative Transport Solution Methods for a Set of 2-D Benchmark Problems conference, July 2013

The range of validity of the Rayleigh limit for computing mie scattering and extinction efficiencies journal, June 1984

Scattering and Extinction Coefficients for Small Absorbing and Nonabsorbing Aerosols* journal, August 1962

Mie Scattering and Absorption Cross Sections for Absorbing Particles journal, February 1966

An assessment of techniques for predicting radiation transfer in aqueous media journal, January 1980

Dirac-delta function approximations to the scattering phase function journal, April 1985

Modeling of radiative transfer using multiple spherical harmonics approximations journal, June 1988

Approximate Solution to Neutron Transport Equation with Linear Anisotropic Scattering journal, October 1983

The Delta-Eddington Approximation for Radiative Flux Transfer journal, December 1976

Radiative heat transfer from a cylindrical cloud of particles. journal, October 1968

Evaluation of the Radiative Heat Flux in Absorbing, Emitting and Linear-Anisotropically Scattering Cylindrical Media journal, May 1981

Radiative heat transfer in emitting-absorbing-scattering spherical media journal, April 1987

A parametric study of radiative heat transfer in pulverised coal furnaces journal, August 2000

Diffusion, P1, and other approximate forms of radiation transport journal, March 2000

The Treatment of Nongray Properties in Radiative Heat Transfer: From Past to Present journal, May 2013

Preface to the HITRAN 2012 special issue journal, November 2013

The HITRAN 2004 molecular spectroscopic database journal, December 2005

HITEMP, the high-temperature molecular spectroscopic database journal, October 2010

Relationship between the spectral line based weighted-sum-of-gray-gases model and the full spectrum k-distribution model
journal, August 2014

Diffusion Approximation for Thermal Radiation in Gases With Jump Boundary Condition
journal, May 1964

Two-Dimensional Radiation in Absorbing-Emitting Media Using the P-N Approximation
journal, May 1983

Note on the Spherical Harmonic Method As Applied to the Milne Problem for a Sphere
journal, April 1947

Elliptic PDE formulation and boundary conditions of the spherical harmonics method of arbitrary order for general three-dimensional geometries
journal, June 2008

Two-dimensional axisymmetric formulation of high order spherical harmonics methods for radiative heat transfer
journal, May 2015

Asymptotic and variational derivations of the simplified PN equations
journal, September 1993

A Three-Dimensional Time-Dependent Unstructured Tetrahedral-Mesh SP _N Method
journal, July 1996

The Simplified P ₃ Approximation
journal, January 2000

Simplified PN and AN methods in neutron transport
journal, January 2002

Simplified spherical harmonic method for coupled electron-photon transport calculations
journal, May 1998

Adaptive solutions of -approximations to radiative heat transfer in glass
journal, November 2005

The Simplified Spherical Harmonics Method For Radiative Heat Transfer
journal, June 2012

Elliptic formulation of the Simplified Spherical Harmonics Method in radiative heat transfer
journal, September 2014

Discrete ordinates quadrature schemes for multidimensional radiative transfer
journal, April 1995

Evaluation of quadrature schemes for the discrete ordinates method
journal, April 2004

Transport theory: discrete ordinates quadrature over the unit sphere
report, January 1970

A new angular discretization scheme of the finite volume method for 3-D radiative heat transfer in absorbing, emitting and anisotropically scattering media
journal, April 2000

The Weighted Diamond-Difference Form of Nodal Transport Methods
journal, January 1988

Error Comparison of Diamond Difference, Nodal, and Characteristic Methods for Solving Multidimensional Transport Problems with the Discrete Ordinates Approximation
journal, June 2007

A Comparison of Angular Discretization Techniques for the Radiative Transport Equation
conference, November 2015

The role of ray effects and false scattering on the accuracy of the standard and modified discrete ordinates methods
journal, April 2002

Ray Effect and False Scattering in the Discrete Ordinates Method
journal, December 1993

The Impact of Reference Frame Orientation on Discrete Ordinates Solutions in the Presence of Ray Effects and a Related Mitigation Technique
conference, November 2014

Spatial and angular finite element method for radiative transfer in participating media
journal, May 2015

Combined Conductive and Radiative Heat Transfer in an Absorbing, Emitting, and Scattering Cylindrical Medium
journal, November 1982

Finite Element Solution of Radiative Heat Transfer in a Two-Dimensional Rectangular Enclosure With Gray Participating Media
journal, November 1983

Coupled Radiative and Conductive Heat Transfer in a Two-Dimensional Rectangular Enclosure With Gray Participating Media Using Finite Elements
journal, August 1984

Finite element formulation of the discrete-ordinates method for multidimensional geometries
journal, July 1994

Empirical Evaluation of an Important Approximation for Combined-Mode heat Transfer in a Participating Medium Using the Finite-Element Method
journal, April 1995

Monte Carlo Solution of Thermal Transfer Through Radiant Media Between Gray Walls
journal, February 1964

The Monte Carlo Method in Radiative Heat Transfer
journal, August 1998

Integral formulation of null-collision Monte Carlo algorithms
journal, August 2013

Null Collision Monte Carlo Algorithms: a Meshless Technique to deal with Radiative Problems in Heterogeneous Media
conference, January 2013

An Efficient CPU-GPU Implementation of the Multiple Absorption Coefficient Zonal Method (MACZM)
journal, January 2012

Evaluation of an improved hybrid six-flux/zone model for radiative transfer in rectangular enclosures
journal, December 1995

Efficient Calculation of Radiation Heat Transfer in Participating Media
journal, April 2008

Advances in the discrete ordinates and finite volume methods for the solution of radiative heat transfer problems in participating media
journal, September 2014

A new radiation solution method for incorporation in general combustion prediction procedures
journal, January 1981

The zone method: Explicit matrix relations for total exchange areas
journal, February 1975

A hybrid transport-diffusion model for radiative transfer in absorbing and scattering media
journal, October 2014

New numerical method for radiation heat transfer in nonhomogeneous participating media
journal, October 1990

Radiative transfer by the YIX method in nonhomogeneous, scattering, and nongray media
journal, July 1993

Benchmark Solutions of Radiative Heat Transfer Within Nonhomogeneous Participating Media Using the Monte Carlo and YIX Method
journal, February 1997

Modified YIX Method and Pseudoadaptive Angular Quadrature for Ray Effects Mitigation
journal, July 2000

Iterative and direct Chebyshev collocation spectral methods for one-dimensional radiative heat transfer
journal, December 2008

Thermal radiation heat transfer in one- and two-dimensional enclosures using the spectral collocation method with full spectrum k-distribution model
journal, April 2014

Analysis of Radiative Equilibrium in a Rectangular Enclosure With Gray Medium
journal, May 1984

Radiative Heat Transfer in Multidimensional Emitting, Absorbing, and Anisotropic Scattering Media—Mathematical Formulation and Numerical Method
journal, February 1989

Radiative equilibrium of a gray medium in a rectangular enclosure
journal, September 1973

Exact expressions for radiative transfer in a three-dimensional rectangular geometry
journal, December 1982

Radiative transfer in a two-dimensional rectangular medium exposed to diffuse radiation
journal, April 1984

Benchmark Tests of Radiation Transport Computer Codes for Reactor Core and Shield Calculations
journal, January 1978

Transient radiative transfer in three-dimensional homogeneous and non-homogeneous participating media
journal, April 2002

Light-Tissue Interaction and Optical Imaging in Biomedicine
journal, January 1995

On the Relation Between Spherical Harmonics and Simplified Spherical Harmonics Methods
journal, March 2010

Simplified PN Approximations to the Equations of Radiative Heat Transfer and Applications
journal, December 2002

Light transport in biological tissue based on the simplified spherical harmonics equations
journal, December 2006

A modification of the differential approximation for radiative transfer.
journal, April 1967

A Parametric Study of the Accuracy of Several Radiative Transport Solution Methods for a Set of 2-D Benchmark Problems
conference, July 2013

The range of validity of the Rayleigh limit for computing mie scattering and extinction efficiencies
journal, June 1984

Scattering and Extinction Coefficients for Small Absorbing and Nonabsorbing Aerosols*
journal, August 1962

Mie Scattering and Absorption Cross Sections for Absorbing Particles
journal, February 1966

An assessment of techniques for predicting radiation transfer in aqueous media
journal, January 1980

Dirac-delta function approximations to the scattering phase function
journal, April 1985

Modeling of radiative transfer using multiple spherical harmonics approximations
journal, June 1988

Approximate Solution to Neutron Transport Equation with Linear Anisotropic Scattering
journal, October 1983

The Delta-Eddington Approximation for Radiative Flux Transfer
journal, December 1976

Radiative heat transfer from a cylindrical cloud of particles.
journal, October 1968

Evaluation of the Radiative Heat Flux in Absorbing, Emitting and Linear-Anisotropically Scattering Cylindrical Media
journal, May 1981

Radiative heat transfer in emitting-absorbing-scattering spherical media
journal, April 1987

A parametric study of radiative heat transfer in pulverised coal furnaces
journal, August 2000

Diffusion, P1, and other approximate forms of radiation transport
journal, March 2000

The Treatment of Nongray Properties in Radiative Heat Transfer: From Past to Present
journal, May 2013

Preface to the HITRAN 2012 special issue
journal, November 2013

The HITRAN 2004 molecular spectroscopic database
journal, December 2005

HITEMP, the high-temperature molecular spectroscopic database
journal, October 2010

Comparison of Models for Correlation of Total Band Absorption
journal, January 1964

Radiation Interchange in a Nongray Enclosure Containing an Isothermal Carbon-Dioxide-Nitrogen Gas Mixture
journal, February 1962

Absorption by Infrared Bands of Carbon Dioxide Gas at Elevated Pressures and Temperatures*
journal, January 1960