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

REFERENCES

• R. Siegel and J. Howell , Thermal Radiation Heat Transfer, , 4th ed. , Taylor & Francis , New York , 2002 .
   Google Scholar
• M. F. Modest , Radiative Heat Transfer, , 2nd ed. , Academic Press , New York , 2003 .
   Google Scholar
• N. G. Shah , New Method of Computation of Radiation Heat Transfer in Combustion Chambers, Ph.D. thesis, Imperial College , University of London , UK , 1979 .
   Google Scholar
• P. Docherty and M. Fairweather , Predictions of Radiative Transfer from Nonhomogeneous Combustion Products Using the Discrete Transfer Method , Combustion and Flame , vol. 71 , pp. 79 – 87 , 1988 .
   Web of Science ®Google Scholar
• P. S. Cumber , Improvements to the Discrete Transfer Method of Calculating Radiative Heat Transfer , Int. J. Heat Mass Transfer , vol. 38 , pp. 2251 – 2258 , 1995 .
   Web of Science ®Google Scholar
• P. J. Coelho and M. G. Carvalho , A Conservative Formulation of the Discrete Transfer Method , J. Heat Transfer , vol. 119 , pp. 118 – 128 , 1997 .
   Web of Science ®Google Scholar
• J. C. Henson and W. M. G. Malasekera , Comparison of the Discrete Transfer and Monte Carlo Methods for Radiative Heat Transfer in Three-Dimensional Non-homogeneous Scattering Media, Numer. Heat Transfer A , vol. 32, pp. 19–36, 1997.
   Web of Science ®Google Scholar
• P. Talukdar and S. C. Mishra , Transient Conduction and Radiation Heat Transfer with Variable Thermal Conductivity , Numer. Heat Transfer A , vol. 41 , pp. 851 – 867 , 2002 .
   Web of Science ®Google Scholar
• R. Raj , A. Prasad , P. R. Parida , and S. C. Mishra , Analysis of Solidification of a Semitransparent Planar Layer Using the Lattice Boltzmann Method and the Discrete Transfer Method , Numer. Heat Transfer A , vol. 49 , pp. 279 – 299 , 2006 .
   Web of Science ®Google Scholar
• N. Anand and S. C. Mishra , The Discrete Transfer Method Applied to the Radiative Heat Transfer in a Variable Refractive Index Semitransparent Medium , J. Quant. Spectros. Radiat. Transfer , vol. 102 , pp. 432 – 440 , 2006 .
   Web of Science ®Google Scholar
• S. C. Mishra , P. Talukdar , D. Trimis , and F. Durst , Effect of Angular Quadrature Schemes on the Computational Efficiency of the Discrete Transfer Method for Solving Radiative Transport Problems with Participating Medium , Numer. Heat Transfer B , vol. 46 , pp. 463 – 478 , 2004 .
   Web of Science ®Google Scholar
• W. A. Fivelend , Discrete Ordinates Solutions of the Radiative Transport Equations for Rectangular Enclosures , J. Heat Transfer , vol. 106 , pp. 699 – 706 , 1984 .
   Google Scholar
• W. A. Fivelend , Discrete Ordinate Methods for Radiative Heat Transfer in Isotrpically and Anisotropiocally Scattering Media , J. Heat Transfer , vol. 109 , pp. 809 – 812 , 1987 .
   Google Scholar
• W. A. Fivelend , Three-Dimensional Radiative Heat Transfer Solutions by the Discrete-Ordinate Methods , J. Thermophys. Heat Transfer , vol. 2 , pp. 309 – 316 , 1988 .
   Google Scholar
• J. Abraham and T. S. Wang , Application of the Discrete Ordinates Method to Compute Radiant Loss in a Diesel Engine , Numer. Heat Transfer A , vol. 31 , pp. 597 – 610 , 1997 .
   Web of Science ®Google Scholar
• S. C. Mishra , H. K. Roy , and N. Mishra , Discrete Ordinate Method with a New and a Simple Quadrature Scheme , J. Quant. Spectrosc. Radiat. Transfer , vol. 101 , pp. 249 – 262 , 2006 .
   Web of Science ®Google Scholar
• G. D. Raithby and E. H. Chui , A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures with Participating Media , J. Heat Transfer , vol. 112 , pp. 415 – 423 , 1990 .
   Web of Science ®Google Scholar
• C. Beckermann and T. F. Smith , Incorporation of Internal Surface Radiant Exchange in the Finite Volume Method , Numer. Heat Transfer B , vol. 23 , pp. 127 – 133 , 1993 .
   Web of Science ®Google Scholar
• J. C. Chai , H. S. Lee , and S. V. Patankar , Finite Volume Method for Radiation Heat Transfer , J. Thermophys. Heat Transfer , vol. 8 , pp. 419 – 425 , 1994 .
   Web of Science ®Google Scholar
• S. W. Baek , M. Y. Kim , and J. S. Kim , Nonorthogonal Finite Volume Solutions of Radiative Heat Transfer in a Three-Dimensional Enclosure , Numer. Heat Transfer B , vol. 34 , pp. 419 – 437 , 1998 .
   Web of Science ®Google Scholar
• J. Y. Murthy and S. R. Mathur , Radiative Heat Transfer in Axisymmetric Geometries Using Unstructured Finite Volume Method , Numer. Heat Transfer B , vol. 31 , pp. 277 – 293 , 1998 .
   Google Scholar
• 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. 33 , pp. 85 – 112 , 1999 .
   Google Scholar
• G. D. Raithby , Discussion of the Finite Volume Method for Radiation, and Its Application Using 3D Unstructured Meshes , Numer. Heat Transfer A , vol. 35 , pp. 389 – 405 , 1999 .
   Google Scholar
• M. A. Heaslet and R. F. Warming , Radiative Transport and Wall Temperature Slip in an Absorbing Planar Medium , Int. J. Heat Mass Transfer , vol. 8 , pp. 979 – 994 , 1965 .
   Google Scholar
• D. J. Sarma , S. C. Mishra , and P. Mahanta , Analysis of Collimated Radiation Using the Discrete Transfer Method , J. Quant. Spectrosc. Radiat. Transfer , vol. 96 , pp. 123 – 135 , 2005 .
   Web of Science ®Google Scholar