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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 57, 2010 - Issue 5
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Original Articles

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

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Pages 346-368 | Received 11 Mar 2009, Accepted 12 Dec 2009, Published online: 08 Mar 2010

REFERENCES

  • K. Daryabeigi , Heat Transfer in High-Temperature Fibrous Insulation , J. Thermophys. Heat Transfer , vol. 17 , pp. 10 – 20 , 2003 .
  • 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. Tremante and F. Malpica , Analysis of the Temperature Profile of Ceramic Composite Materials Exposed to Combined Conduction-Radiation Between Concentric Cylinders , J. of Eng. for Gas Turbines and Power , vol. 120 , pp. 271 – 275 , 1998 .
  • F. R. Steward and D. N. Trivic , Assessment of Particle Radiation in a Pulverised-Coal-Fired Boiler , J. of the Institute of Energy , vol. 62 , no. 452 , pp. 138 – 146 , 1989 .
  • F. M. El-Mahallawy and A. A. M. Rezk , Analytical Investigation of Wall Radiative Heat Flux in Boiler Furnaces , J. Eng. App. Sci. , vol. 46 , pp. 257 – 272 , 1999 .
  • A. Yamaguchi and Y. Tajima , A Numerical Study of Radiation Heat Transfer in Sodium Pool Combustion and Response Surface Modeling of Luminous Flame Emissivity , Nuclear Eng. and Design , vol. 236 , pp. 1179 – 1191 , 2006 .
  • N. Berour , D. Lacroix , P. Boulet , and G. Jeandel , Radiative and Conductive Heat Transfer in a Nongrey Semitransparent Medium, Application to Fire Protection Curtains , J. Quant. Spectrosc. Radiat. Transfer , vol. 86 , pp. 9 – 30 , 2004 .
  • E. M. Nunes , M. H. N. Naraghi , H. Zhang , and V. Prasad , A Volume Radiation Heat Transfer Model for Czochralski Crystal Growth Processes , J. Crystal Growth , vol. 236 , pp. 596 – 608 , 2002 .
  • C. Chen and Y. Jaluria , Modeling of Radiation Heat Transfer in the Drawing of an Optical Fiber with Multilayer Structure , J. Heat Transfer , vol. 12 , pp. 342 – 352 , 2007 .
  • A. Sharma , V. V. Tyagi , C. R. Chen , and D. Buddhi , Review on Thermal Energy Storage with Phase Change Materials and Applications , Renewable and Sustainable Energy Revi. , vol. 13 , pp. 318 – 345 , 2009 .
  • J. P. Gastellu-Etchegorry , 3D Modeling of Satellite Spectral Images, Radiation Budget and Energy Budget of Urban Landscapes , Met. Atmos. Phys. , vol. 102 , pp. 187 – 207 , 2008 .
  • J. Zhou , J. Liu , and A. Yu , Numerical Study on the Thawing Process of Biological Tissue Induced by Laser irradiation , J. Biomech. Eng. , vol. 127 , pp. 416 – 431 , 2005 .
  • R. Siegel and J. Howell , Thermal Radiation Heat Transfer, , 4th ed. , Taylor & Francis , New York , 2002 .
  • M. F. Modest , Radiative Heat Transfer, , 2nd ed. , Academic Press , New York , 2003 .
  • J. R. Howell , The Monte Carlo Method in Radiative Heat Transfer , J. Heat Transfer , vol. 120 , pp. 547 – 560 , 1998 .
  • X. L. Xia , D. P. Ren , and H. P. Tan , A Curve Monte Carlo Method for Radiative Heat Transfer in Absorbing and Scattering Gradient-Index Medium , Numer. Heat Transfer B , vol. 50 , no. 2 , pp. 181 – 192 , 2006 .
  • W. A. Fivelend , The Selection of Discrete Ordinate Quadrature Sets for Anisotropic Scattering , ASME HTD , vol. 160 , pp. 89 – 96 , 1991 .
  • S. C. Mishra , H. K. Roy , and N. Mishra , Discrete Ordinate Method with a New and a Simple Quadrature Scheme , J. Quant. Sepectrosc. Radiat. Transfer , vol. 101 , pp. 249 – 262 , 2006 .
  • 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 .
  • 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 .
  • 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 .
  • 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 .
  • 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.
  • 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 .
  • 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 .
  • 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. vol. 33 , pp. 85 – 112 , 1999 .
  • 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 .
  • S. Maruyama , Light Energy Engineering, Yoken-do, 2004. (In Japanese.)
  • S. Maruyama and T. Aihara , Radiation Heat Transfer of Arbitrary Three-Dimensional Absorbing, Emitting and Scattering Media and Specular and Diffuse Surfaces , J. Heat Transf.—Trans. ASME , vol. 119 , pp. 129 – 136 , 1997 .
  • Z. Guo and S. Kumar , Radiation Element Method for Hyperbolic Radiative Transfer in Plane–Parallel Inhomogeneous Media , Numer. Heat Transfer B , vol. 39 , pp. 371 – 387 , 2001 .
  • S. Maruyama , Y. Takeuchi , and S. Hirasawa , A Fast Method of Radiative Heat Transfer Analysis Between Arbitrary Three-Dimensional Bodies Composed of Specular and Diffuse Surfaces , Numer. Heat Transfer A , vol. 39 , pp. 761 – 776 , 2001 .
  • S. Maruyama , Y. Takeuchi , S. Sakai , and Z. X. Guo , Improvement of Computational Time in Radiative Heat Transfer of Three-Dimensional Participating Media using the Radiation Element Method , J. Quant. Spectrosc. Radiat. Transfer , vol. 73 , pp. 239 – 248 , 2002 .
  • S. Maruyama , Radiative Heat Transfer in Anisotropic Scattering Media with Specular Boundary Subjected to Collimated Irradiation , Int. J. Heat Mass Transfer , vol. 41 , pp. 2847 – 2856 , 1998 .
  • S. Maruyama , Y. Mori , and S. Sakai , Nongray Radiative Heat Transfer Analysis in the Anisotropic Scattering Fog Layer Subjected to Solar Irradiation , J. Quant. Spectrosc. Radiat. Transfer , vol. 83 , pp. 361 – 375 , 2004 .
  • S. Nishikawa , S. Maruyama , and S. Sakai , Radiative Heat Transfer and Hydrostatic Stability in Noturnal Fog , Bound.-Layer Meteor. , vol. 113 , pp. 273 – 286 , 2004 .
  • S. Chen and G. D. Doolen , Lattice Boltzmann Method for Fluid Flows , Annu. Rev. Fluid Mech. , vol. 30 , pp. 329 – 364 , 1998 .
  • S. Succi , The Lattice Boltzmann Method for Fluid Dynamics and Beyond , Oxford University Press , New York , 2001 .
  • S. C. Mishra and A. Lankadasu , Analysis of Transient Conduction and Radiation Heat Transfer using the Lattice Boltzmann Method and the Discrete Transfer Method , Numer. Heat Transfer A , vol. 47 , pp. 935 – 954 , 2005 .
  • S. C. Mishra , A. Lankadasu , and K. 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 .
  • 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 .
  • N. Gupta , G. R. Chaitanya , and S. C. Mishra , Lattice Boltzmann Method Applied to Variable Thermal Conductivity Conduction and Radiation Problems , J. Thermophys. Heat Transfer. , vol. 20 , pp. 895 – 902 , 2006 .
  • S. C. Mishra and H. K. Roy , Solving Transient Conduction-Radiation Problems using the Lattice Boltzmann Method and the Finite Volume Method, J. Comput. Phys. , vol. 233, pp. 89–107, 2007.
  • S. C. Mishra , N. A. Krishna , N. Gupta , and G. R. Chaitanya , Combined Conduction and Radiation Heat Transfer with Variable Thermal Conductivity and Variable Refractive Index , Int. J. Heat Mass Transfer , vol. 51 , pp. 83 – 90 , 2008 .
  • B. Mondal and S. C. Mishra , Lattice Boltzmann Method Applied to the Solution of the Energy Equations of the Transient Conduction and Radiation Problems on Non-Uniform Lattices , Int. J. Heat Mass Transfer , vol. 51 , pp. 68 – 82 , 2008 .
  • S. C. Mishra , T. B. Pavan Kumar , and B. Mondal , Lattice Boltzmann Method Applied to the Solution of Energy Equation of a Radiation and Non-Fourier Heat Conduction Problem , Numer. Heat Transfer A , vol. 54 , pp. 798 – 818 , 2008 .
  • B. Mondal and S. C. Mishra , Simulation of Natural Convection in the Presence of Volumetric Radiation using the Lattice Boltzmann Method , Numer. Heat Transfer A , vol. 55 , pp. 18 – 41 , 2009 .
  • J. Wanga , M. Wangb , and Z. Lia , A Lattice Boltzmann Algorithm for Fluid–Solid Conjugate Heat Transfer , Int. J. Therm. Sci. , vol. 46 , pp. 228 – 234 , 2007 .
  • M. Wang and N. Pana , Modeling and Prediction of the Effective Thermal Conductivity of Random Open-Cell Porous Foams , Int. J. Heat Mass Transfer , vol. 51 , pp. 1325 – 1331 , 2008 .

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