Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 66, 2014 - Issue 8
189
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Analysis of Radiative Transport in a 2-D Cylindrical Participating Medium Subjected to Collimated Radiation

, , &
Pages 884-903 | Received 16 Jul 2013, Accepted 27 Dec 2013, Published online: 25 Jun 2014

REFERENCES

  • R. Johansson , K. Andersson , B. Leckner , and H. Thunman , Models for Gaseous Radiative Heat Transfer Applied to Oxy-Fuel Conditions in Boilers , Int. J. Heat Mass Transfer , vol. 53 , pp. 220 – 230 , 2010 .
  • M. N. Borjini , K. Guedri , and R. Saïd , Modeling of Radiative Heat Transfer in 3-D Complex Boiler with Non-Gray Sooting Media , J. Quant. Spectrosc. Radiant. Transfer , vol. 105 , pp. 167 – 179 , 2007 .
  • M. Baburić , N. Duić , A. Raulot , and P. J. Coelho , Application of the Conservative Discrete Transfer Radiation Method to a Furnace with Complex Geometry , Numer. Heat Transfer A , vol. 48 , pp. 297 – 313 , 2005 .
  • M. N. Borjini , H. Farhat , and M.-S. Radhouani , Analysis of Radiative Heat Transfer in a Partitioned Idealized Furnace , Numer. Heat Transfer A , vol. 44 , pp. 199 – 218 , 2003 .
  • J. G. Marakis , C. Papapavlou , and E. Kakaras , A Parametric Study of Radiative Heat Transfer in Pulverised Coal Furnaces , Int. J. Heat Mass Transfer , vol. 43 , pp. 2961 – 2971 , 2000 .
  • R. C. M. Filho and A. P. Pimenta , A Two-Dimensional Numerical Simulation of Combustion and Heat Transfer in Radiant Porous Burners , Combust. Sci. Technol. , vol. 183 , pp. 370 – 389 , 2011 .
  • S. Veiseh and A. Hakkaki-Fard , Numerical Modeling of Combined Radiation and Conduction Heat Transfer in Mineral Wool Insulations , Heat Transfer Eng. , vol. 30 , pp. 477 – 486 , 2009 .
  • A. Sakurai , S. Maruyama , and K. Matsubara , The Radiation Element Method Coupled with the Bioheat Transfer Equation Applied to the Analysis of the Photothermal Effect of Tissues , Numer. Heat Transfer A , vol. 58 , pp. 625 – 640 , 2010 .
  • K. Kim and Z. Guo , Ultrafast Radiation Heat Transfer in Laser Tissue Welding and Soldering , Numer. Heat Transfer A , vol. 46 , pp. 23 – 40 , 2004 .
  • D. L. Liu , S. A. Engels , C. Sturesson , K. Svanberg , C. H. Håkansson , and S. Svanberg , Tumour Vessel Damage Resulting from Laser-Induced Hyperthermia Alone and in Combination with Photodynamic Therapy , Cancer Lett. , vol. 111 , pp. 157 – 165 , 1997 .
  • K. Khanafer , J. L. Bull , I. Pop , and R. Berguer , Influence of Pulsatile Blood Flow and Heating Scheme on the Temperature Distribution During Hyperthermia Treatment , Int. J. Heat Mass Transfer , vol. 50 , pp. 4883 – 4890 , 2007 .
  • M. Jaunich , S. Raje , K. Kim , K. Mitra , and Z. Guo , Bio-Heat Transfer Analysis during Short Pulse Laser Irradiation of Tissues , Int. J. Heat Mass Transfer , vol. 51 , pp. 5511 – 5521 , 2008 .
  • R. Muthukumaran and S. C. Mishra , Radiative Transfer of a Short-Pulse Laser Wave of Gaussian Temporal Profile Through a 2-D Participating Medium Containing Inhomogeneities of Different Shapes at Various Locations , Numer. Heat Transfer A , vol. 54 , pp. 546 – 567 , 2008 .
  • F. Fanjul-Vélez , O. G. Romanov , and J. L. Arce-Diego , Efficient 3D Numerical Approach for Temperature Prediction in Laser Irradiated Biological Tissues , Comput. Biol. Med. , vol. 39 , pp. 810 – 817 , 2009 .
  • A. J. Welch and M. J. C. V Gemert , Optical-Thermal Response of Laser-Irradiated Tissue, , 2nd ed., Springer , New York , 2011.
  • M. H. Niemz , Laser-Tissue Interactions, Fundamental and Applications, , 3rd ed. , Springer , Heidelberg , 2007 .
  • M. F. Modest , Radiative Heat Transfer, , 3rd ed. , Academic press , New York , 2013 .
  • P. Rath , S. C. Mishra , P. Mahanta , U. K. Saha , and K. Mitra , Discrete Transfer Method Applied to Transient Radiative Transfer Problems in Participating Medium , Numer. Heat Transfer A , vol. 44 , pp. 183 – 197 , 2003 .
  • S. C. Mishra , P. Chug , P. Kumar , and K. Mitra , Development, and Comparison of the DTM, the DOM and the FVM Formulations for the Short-Pulse Laser Transport Through a Participating Medium , Int. J. Heat Mass Transfer , vol. 49 , pp. 1820 – 1832 , 2006 .
  • S. H. Wu and C. Y. Wu , Integral Equation Formulation for Transient Radiative Transfer in an Anisotropically Scattering Medium , Int. J. Heat Mass Transfer , vol. 43 , pp. 2009 – 2020 , 2000 .
  • S. C. Wu and C. Y. Wu , Radiative Heat Transfer in a Two-Dimensional Cylindrical Medium Exposed to Collimated Radiation , Int. J. Heat Mass Transfer , vol. 24 , pp. 475 – 484 , 1997 .
  • S. Chandrasekhar , Radiative Transfer , Dover Publications , New York , 1960 .
  • W. A. Fiveland , Discrete-Ordinates Solution of the Radiative Transport Equation for Rectangular Enclosures , J. Heat Transfer , vol. 106 , pp. 699 – 706 , 1984 .
  • W. A. Fiveland , Discrete Ordinate Methods for Radiative Heat Transfer in Isotropically and Anisotropically Scattering Media , J. Heat Transfer , vol. 109 , pp. 809 – 812 , 1987 .
  • S. H. Kim and K. Y. Huh , Assessment of The Finite-Volume Method and the Discrete Ordinate Method for Radiative Heat Transfer in a Three-Dimensional Rectangular Enclosure , Numer. Heat Transfer, B , vol. 35 , pp. 85 – 112 , 1999 .
  • K. H. Lee and R. Viskanta , Two-Dimensional Combined Conduction and Radiation Heat Transfer: Comparison of the Discrete Ordinates Method and the Diffusion Approximation Methods , Numer. Heat Transfer A , vol. 39 , pp. 205 – 225 , 2001 .
  • G. D. Raithby and E. H. Chui , A Finite Volume Method for Predicting Radiant Heat Transfer in Enclosures with Participating Media , J. Heat Transfer , vol. 112 , pp. 415 – 423 , 1990 .
  • E. H. Chui , G. D. Raithby , and P. M. J. Hughes , Prediction of Radiative Transfer in Cylindrical Enclosures with the Finite Volume Method , J. Themophys. Heat Transfer , vol. 6 , pp. 605 – 611 , 1992 .
  • E. H. Chui and G. D. Raithby , An Implicit Solution Scheme to Improve Convergence Rate in Radiative Transfer Problems , Numer. Heat Transfer, B , vol. 22 , pp. 251 – 272 , 1992 .
  • J. Y. Murthy , S. R. Mathur , A Finite-Volume Scheme for Radiative Heat Transfer in Semitransparent Media , Numer. Heat Transfer, B , vol. 37 , pp. 25 – 43 , 2000 .
  • S. C. Mishra and H. Sahai , Analyses of Non-Fourier Conduction and Radiation in a Cylindrical Medium Using Lattice Boltzmann Method and Finite Volume Method , Int. J. Heat Mass Transfer , vol. 61 , pp. 41 – 45 , 2013 .
  • D. J. Sarma , S. C. Mishra , and P. Mahanta , Analysis of Collimated Radiation Using the Discrete Transfer Method , J. Quant. Spectrosc. Radiant. Transfer , vol. 96 , pp. 123 – 135 , 2005 .
  • R. Singh and S. C. Mishra , Analysis of Radiative Heat Transfer in a Planar Participating Medium Subjected to Diffuse and/or Collimated Radiation – A Comparison of the DTM, the DOM and the FVM , Numer. Heat Transfer A , vol. 52 , pp. 481 – 496 , 2007 .
  • P. F. Hsu , Z. M. Tan , S. H. Wu , and C. Y. Wu , Radiative Heat Transfer in Finite Cylindrical Homogeneous and Nonhomogeneous Scattering Media Exposed to Collimated Radiation , Numer. Heat Transfer A , vol. 35 , pp. 655 – 679 , 1999 .
  • C. Y. Wu and N. R. Ou , Differential Approximation for Transient Radiative Transfer Through Participating Medium Exposed to Collimated Radiation, J. Quant. Spectrosc. Radiant. Transfer , vol. 73, pp. 111–120, 2002.
  • A. L. Crosbie and L. C. Lee , Relation Between Multidimensional Radiative Transfer in Cylindrical and Rectangular Coordinates with Anisotropic Scattering , J. Quant. Spectrosc. Radiant. Transfer , vol. 38 , pp. 231 – 241 , 1987 .
  • J. C. Chai , H. S. Lee , and S. V. Patankar , Ray Effect and False Scattering in the Discrete Ordinates Method , Numer. Heat Transfer, B , vol. 24 , pp. 373 – 389 , 1993 .
  • J. C. Chai and S. V. Patankar , Finite Volume Method for Radiation Heat Transfer , Adv. Numer. Heat Transfer , vol. 2 , pp. 110 – 135 , 2000 .
  • S. C. Mishra , H. K. Roy , and N Misra , Discrete Ordinate Method with a New and a Simple Quadrature Scheme , J. Quant. Spectrosc. Radiant. Transfer , vol. 101 , pp. 249 – 262 , 2006 .
  • S. C. Mishra , C. H. Krishna , and M. Y. Kim , Lattice Boltzmann Method and Modified Discrete Ordinate Method Applied to Radiative Transport in a Spherical Medium with and Without Conduction , Numer. Heat Transfer A , vol. 58 , pp. 852 – 881 , 2010 .
  • S. C. Mishra , C. H. Krishna , and M. Y. Kim , Analysis of Conduction and Radiation Heat Transfer in a 2-D Cylindrical Medium Using the Modified Discrete Ordinate Method and the Lattice Boltzmann Method , Numer. Heat Transfer A , vol. 60 , pp. 254 – 287 , 2011 .
  • S. C. Mishra and C. H. Krishna , Analysis of Radiative Transport in a Cylindrical Enclosure – An Application of the Modified Discrete Ordinate Method , J. Quant. Spectrosc. Radiant. Transfer , vol. 112 , pp. 1065 – 1081 , 2011 .
  • S. C. Mishra , M. Y. Kim , and S. Maruyama , Performance Evaluation of Four Radiative Transfer Methods in Solving Multi-Dimensional Radiation and/or Conduction Heat Transfer Problems , Int. J. Heat Mass Transfer , vol. 55 , pp. 5819 – 5835 , 2012 .
  • Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/unht.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.