Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 52, 2007 - Issue 2
320
Views
25
CrossRef citations to date
0
Altmetric
Original Articles

Transient Radiation and Conduction Heat Transfer in a Gray Absorbing-Emitting Medium Applied on Two-Dimensional Complex-Shaped Domains

, &
Pages 179-200 | Received 22 Oct 2006, Accepted 06 Jan 2007, Published online: 19 Jun 2007

REFERENCES

  • R. Viskanta and R. J. Grosh , Heat Transfer by Simultaneous Conduction and Radiation in an Absorbing Medium , J. Heat Transfer , vol. 84 , pp. 63 – 72 , 1962 .
  • W. W. Yuen and E. E. Takara , Analysis of Combined Conductive-Radiative Heat Transfer in a Two Dimensional Rectangular Enclosure with a Gray Medium , J. Heat Transfer , vol. 110 , pp. 468 – 474 , 1988 .
  • M. M. Razzaque , J. R. Howell , and D. E. Klein , Coupled Radiative and Conductive Heat Transfer in a Two-Dimensional Rectangular Enclosure with Gray Participating Media Using Finite Elements , J. Heat Transfer , vol. 106 , pp. 613 – 619 , 1984 .
  • T. Y. Kim and S. W. Baek , Analysis of Combined Conductive and Radiative Heat Transfer in a Two Dimensional Rectangular Enclosure Using the Discrete Ordinates Method , J. Heat Mass Transfer , vol. 34 , pp. 2265 – 2273 , 1991 .
  • J. V. Daurelle , R. Occelli , and R. Martin , Finite Element Modeling of Radiation Heat Transfer Coupled with Conduction in an Adaptive Method , Numer. Heat Transfer B , vol. 25 , pp. 61 – 73 , 1994 .
  • H. Farhat and M. S. Radhouani , Modélisation Bidimensionnelle du Couplage Conduction-Rayonnement Dans un Milieu Semi-Transparent émissive et Diffusant , Revue générale de thermique , vol. 399 , pp. 191 – 201 , 1995 .
  • J. M. Banoczi and C. T. Kelley , A Fast Multilevel Algorithm for the Solution of Nonlinear Systems of Conductive-Radiative Heat Transfer Equations in Two Space Dimensions , Siam J. Sci. Compt. , vol. 20 , pp. 1214 – 1228 , 1999 .
  • V. le dez , R. Vaillon , D. Lemonnier , and M. Lallemand , Conductive-Radiative Coupling in an Absorbing-Emitting Axisymmetric Medium , J. Quant. Spectrosc. Radiat. Transfer , vol. 65 , pp. 787 – 803 , 2000 .
  • K. H. Lee and R. Viskanta , Two-Dimensional Combined Conduction and Radiation Heat Transfer: Comparison of the Discrete Ordinates Method and the Diffuse Approximation Methods , Numer. Heat Transfer A , vol. 39 , pp. 205 – 225 , 2001 .
  • D. Lacroix , G. Parent , F. Asllanaj , and G. Jeandel , Coupled Radiative and Conductive Heat Transfer in a Non-grey Absorbing and Emitting Semitransparent Media Under Collimated Radiation , J. Quant. Spectrosc. Radiant. Transfer , vol. 75 , pp. 589 – 609 , 2002 .
  • K. A. R. Ismail and C. T. S. Salinas , Gray Radiative Conductive 2D Modeling Using Discrete Ordinates Method with Multidimensional Spatial Scheme and Non-uniform Grid , Int. J. Thermal Sci. , vol. 45 (7) , pp. 706 – 715 , 2006 .
  • N. Berour , D. Lacroix , and G. Jeandel , Radiative and Conductive Heat Exchanges in High Temperature Glass Melt with the Finite Volume Method Approach. Influence of Several Spatial Differencing Schemes on RTE Solution , Numer. Heat Transfer A , vol. 49 , pp. 567 – 588 , 2006 .
  • S. K. Mahapatra and S. B. Mahapatra , Numerical Modeling of Combined Conductive and Radiative Heat Transfer with Square Enclosure Using Discrete Ordinates Method , Heat Mass Transfer , vol. 40 , pp. 533 – 538 , 2004 .
  • M. Sakami , A. Charette , and V. le Dez , Application of the Discrete Ordinates Method to Combined Conductive and Radiative Heat Transfer in a Two-Dimensional Complex Geometry, J. Quant. Spectrosc. Radiat. Transfer , vol. 56, pp. 517–533, 1996.
  • V. Feldheim and P. Lybaert , Computation of Coupled Radiative and Conductive Heat Transfer on Unstructured Meshes , Proc. Advanced Computational Methods in Engineering , Maastricht , The Netherlands , 1998 , pp. 283 – 290 .
  • D. R. Rousse , Numerical Predictions of Two-Dimensional Conduction, Convection and Radiation Heat Transfer. I. Formulation , Int. J. Thermal Sci. , vol. 39 , pp. 315 – 331 , 2000 .
  • D. R. Rousse , G. Gautier , and J. F. Sacadura , Numerical Predictions of Two-Dimensional Conduction, Convection and Radiation Heat Transfer. II. Validation , Int. J. Thermal Sci. , vol. 39 , pp. 332 – 353 , 2000 .
  • K. H. Wu and C. Y. Wu , Transient Two Dimensional Radiative and Conductive Heat Transfer in an Axisymmetric Medium , Heat Mass Transfer , vol. 33 , pp. 327 – 331 , 1998 .
  • N. Bianco and O. Manca , Two Dimensional Transient Analysis of Absorbing Thin Films in Laser Treatments , J. Heat Transfer , vol. 122 , pp. 113 – 117 , 2000 .
  • L. H. Liu and H. P. Tan , Transient Radiation and Conduction in a Two Dimensional Participating Cylinder Subjected to a Pulse Irradiation , Int. J. Thermal Sci. , vol. 40 , pp. 877 – 889 , 2001 .
  • S. C. Mishra , P. Talukdar , D. Trimis , and F. Durst , Two-Dimensional Transient Conduction and Radiation Heat Transfer with Temperature Dependent Thermal Conductivity , Int. Commun. Heat Mass Transfer , vol. 32 , pp. 305 – 314 , 2005 .
  • S. C. Mishra , A. Lankadasu , and K. N. Beronov , Application of the Lattice Boltzmann Method for Solving the Energy Equation of a 2-D Transient Conduction-Radiation Problem , Int. J. Heat Mass Transfer , vol. 48 , pp. 3648 – 3659 , 2005 .
  • S. C. Mishra , P. Talukdar , D. Trimis , and F. Durst , Computational Efficiency Improvements of the Radiative Transfer Problems with or without Conduction—A Comparison of the Collapsed Dimension Method and the Discrete Transfer Method , Int. J. Heat Mass Transfer , vol. 46 , pp. 3083 – 3095 , 2003 .
  • S. C. Mishra and H. K. Roy , Solving Transient Conduction-Radiation Problems Using the Lattice Boltzmann Method and the Finite Volume Method , J. Comput. Phy. , vol. 223 , pp. 89 – 107 , 2007 .
  • D. Lacroix , N. Berour , P. Boulet , and G. Jeandel , Transient Radiative and Conductive Heat Transfer in Non-gray Semitransparent Two Dimensional Media with Mixed Boundary Conditions , Heat Mass Transfer , vol. 42 , pp. 322 – 337 , 2006 .
  • P. Furmanski and J. Banaszek , Finite Element Analysis of Concurrent Radiation and Conduction in Participating Media , J. Quant. Spectrosc. Radiat. Transfer , vol. 84 , pp. 563 – 573 , 2004 .
  • 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 and G. D. Raithby , Implicit Solution Scheme to Improve Convergence Rate in Radiative Transfer Problems , Numer. Heat Transfer B , vol. 22 , pp. 251 – 272 , 1992 .
  • E. H. Chui and G. D. Raithby , Computation of Radiant Heat Transfer on a Nonorthogonal Mesh Using the Finite Volume Method , Numer. Heat Transfer B , vol. 23 , pp. 269 – 288 , 1993 .
  • D. R. Rousse and R. B. Baliga , Formulation of a Control-Volume Finite Element Method for Radiative Transfer in Participating Media , Proc. Seventh Int. Conf. on Numerical Methods in Thermal Problems , Stanford , CA , 1991 , pp. 786 – 95 .
  • D. R. Rousse , Numerical Method for Conduction-Convection-Radiation Heat Transfer in Three-Dimensional Geometries , Proc. 2nd European Thermal Sciences and 14th UIT Conf ., Rome , 1996 , vol. 3 , pp. 1425 – 1432 .
  • F. Asllanaj , V. Feldheim , and P. Lybaert , Solution of Radiative Heat Transfer in 2-D Geometries by a Modified Finite Volume Method Based on a Cell Vertex Scheme Using Unstructured Triangular Meshes, Numer. Heat Transfer B , vol. 51, pp. 97–119, 2007.
  • V. Feldheim and P. Lybaert , Solution of Radiative Heat Transfer Problems with the Discrete Transfer Method Applied to Triangular Meshes , J. Comput. Appl. Math. , vol. 168 , pp. 179 – 190 , 2004 .
  • W. F. Mitchell , Unified Multilevel Adaptive Finite Element Methods for Elliptic Problems , Ph.D. thesis , Tech. Rep. UIUCDCS-R-88–1436, Department of Computer Science , University of Illinois , Urbana , IL , 1988 .
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Washington , Hemisphere , 1980 .
  • R. Vaillon , M. Lallemand , and D. Lemonnier , Radiative Heat Transfer in Orthogonal Curvilinear Coordinates Using the Discrete Ordinates Method , J. Quant. Spectrosc. Radiat. Transfer , vol. 55 , pp. 7 – 16 , 1996 .

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.