Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 68, 2015 - Issue 6
473
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

Analysis of Transient Conduction and Radiation Problems Using the Lattice Boltzmann and Discrete Ordinates Methods

&
Pages 619-637 | Received 10 Sep 2014, Accepted 01 Dec 2014, Published online: 23 Apr 2015

REFERENCES

  • M. F. Modest The Treatment of Nongray Properties in Radiative Heat Transfer: From Past to Present, J. Heat Transfer, vol. 135, pp. 061801–061801, 2013.
  • P. J. Coelho Advances in the Discrete Ordinates and Finite Volume Methods for the Solution of Radiative Heat Transfer Problems in Participating Media, J. Quant. Spectrosc. Radiat. Transfer, vol. 145, pp. 121–146, 2014.
  • L. H. Liu and J. Y. Tan Meshless Local Petrov–Galerkin Approach for Coupled Radiative and Conductive Heat Transfer, Int. J. Therm. Sci., vol. 46, pp. 672–681, 2007.
  • Y. Sun and B. Li Spectral Collocation Method for Transient Conduction-Radiation Heat Transfer, J. Thermophys. Heat Transfer, vol. 24, pp. 823–832, 2010.
  • R. Chaabane, F. Askri, and S. Ben Nasrallah Application of the Lattice Boltzmann Method to Transient Conduction and Radiation Heat Transfer in Cylindrical Media, J. Quant. Spectrosc. Radiat. Transfer, vol. 112, pp. 2013–2027, 2011.
  • H. Amiri, S. H. Mansouri, and P. J. Coelho Application of Modified Discrete Ordinates Method to Combined Conduction-Radiation Heat Transfer Problems in Irregular Geometries, Int. J. Numer. Method Heat Fluid Flow, vol. 22, pp. 862–879, 2012.
  • Y. Zhang, H. Yi, and H. Tan Natural Element Method for Radiative Heat Transfer in a Semitransparent Medium with Irregular Geometries, J. Comput. Phys., vol. 241, pp. 18–34, 2013.
  • C. Wang, H. Sadat, and J. Tan Meshless Method for Solving Transient Radiative and Conductive Heat Transfer in Two-Dimensional Complex Geometries, Numer. Heat Transfer, Part B: Fundam., vol. 65, pp. 518–536, 2014.
  • T. J. Moore and M. R. Jones, Analysis of the Conduction-Radiation Problem in Absorbing Emitting, Non-Gray Planar Media Using an Exact Method, Int. J. Heat Mass Transfer, vol. 73, pp. 804–809, 2014.
  • K. Luo, H. Yi, and H. Tan Coupled Radiation and Mixed Convection in an Eccentric Annulus Using the Hybrid Strategy of Lattice Boltzmann-Meshless Method, Numer. Heat Transfer, Part B: Fundam., vol. 66, pp. 243–267, 2014.
  • S. Succi The Lattice Boltzmann Method for Fluid Dynamics and Beyond, Oxford University Press, New York, 2001.
  • M. C. Sukop and D. T. Thorne Lattice Boltzmann Modeling: An Introduction for Geoscientists and Engineers, Springer, Berlin, 2007.
  • A. A. Mohamad Lattice Boltzmann Method: Fundamentals and Engineering Applications with Computer Codes, Springer, Berlin, 2011.
  • S. Chen and G. D. Doolen Lattice Boltzmann Method for Fluid Flows, Annu. Rev. Fluid Mech., vol. 30, pp. 329–364, 1998.
  • X. He, S. Chen, and G. D. Doolen A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit, J. Comput. Phys., vol. 146, pp. 282–300, 1998.
  • A. Tarokh, A. A. Mohamad, and L. Jiang Simulation of Conjugate Heat Transfer Using the Lattice Boltzmann Method, Numer. Heat Transfer, Part A: Appl., vol. 63, pp. 159–178, 2013.
  • L. Jahanshaloo, E. Pouryazdanpanah, and N. A. Che Sidik A Review on the Application of the Lattice Boltzmann Method for Turbulent Flow Simulation, Numer. Heat Transfer, Part A: Appl., vol. 64, pp. 938–953, 2013.
  • H. N. Dixit and V. Babu Simulation of High Rayleigh Number Natural Convection in a Square Cavity Using the Lattice Boltzmann Method, Int. J. Heat Mass Transfer, vol. 49, pp. 727–739, 2006.
  • G. H. Tang, W. Q. Tao, and Y. L. He Simulation of Fluid Flow and Heat Transfer in a Plane Channel Using the Lattice Boltzmann Method, Int. J. Mod. Phys. B, vol. 17, pp. 183–187, 2003.
  • A. A. Alamyane and A. A. Mohamad Simulation of Forced Convection in a Channel with Extended Surfaces by the Lattice Boltzmann Method, Comput. Math. Appl., vol. 59, pp. 2421–2430, 2010.
  • S. Choi and S. Kim Comparative Analysis of Thermal Models in the Lattice Boltzmann Method for the Simulation of Natural Convection in a Square Cavity, Numer. Heat Transfer, Part B: Fundam., vol. 60, pp. 135–145, 2011.
  • F. Kuznik and G. Rusaouen Numerical Prediction of Natural Convection Occurring in Building Components: A Double-Population Lattice Boltzmann Method, Numer. Heat Transfer, Part A: Appl., vol. 52, pp. 315–335, 2007.
  • W. Jiaung, J. Ho, and C. Kuo Lattice Boltzmann Method for the Heat Conduction Problem with Phase Change, Numerical Heat Transfer: Part B: Fundamentals, vol. 39, pp. 167–187, 2001.
  • S. Gong and P. Cheng Numerical Investigation of Saturated Flow Boiling in Microchannels by the Lattice Boltzmann Method, Numer. Heat Transfer, Part A: Appl., vol. 65, pp. 644–661, 2014.
  • G. R. Kefayati Simulation of Ferrofluid Heat Dissipation Effect on Natural Convection at an Inclined Cavity Filled with Kerosene/Cobalt Utilizing the Lattice Boltzmann Method, Numer. Heat Transfer, Part A: Appl., vol. 65, pp. 509–530, 2014.
  • S. C. Mishra and A. Lankadasu Transient Conduction–radiation Heat Transfer in Participating Media Using the Lattice Boltzmann Method and the Discrete Transfer Method, Numer. Heat Transfer, Part A: Appl., vol. 47, pp. 935–954, 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 and H. K. Roy Solving Transient Conduction and Radiation Heat Transfer Problems Using the Lattice Boltzmann Method and the Finite Volume Method, J. Comput. Phys., vol. 223, pp. 89–107, 2007.
  • S. C. Mishra, M. Y. Kim, R. Das, M. Ajith, and R. Uppaluri Lattice Boltzmann Method Applied to the Analysis of Transient Conduction-Radiation Problems in a Cylindrical Medium, Numer. Heat Transfer, Part A: Appl., vol. 56, pp. 42–59, 2009.
  • B. Mondal and S. C. Mishra Application of the Lattice Boltzmann Method and the Discrete Ordinates Method for Solving Transient Conduction and Radiation Heat Transfer Problems, Numer. Heat Transfer, Part A: Appl., vol. 52, pp. 757–775, 2007.
  • S. C. Mishra and H. Sahai Analysis of Non-Fourier Conduction and Volumetric Radiation in a Concentric Spherical Shell Using Lattice Boltzmann Method and Finite Volume Method, Int. J. Heat Mass Transfer, vol. 68, pp. 51–66, 2014.
  • S. C. Mishra, H. Poonia, A. K. Das, P. Asinari, and R. Borchiellini Analysis of Conduction-Radiation Heat Transfer in a 2D Enclosure Using the Lattice Boltzmann Method, Numer. Heat Transfer, Part A: Appl., vol. 66, pp. 669–688, 2014.
  • 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, Part A: Appl., vol. 60, pp. 254–287, 2011.
  • B. Mondal and S. C. Mishra Simulation of Natural Convection in the Presence of Volumetric Radiation Using the Lattice Boltzmann Method, Numer. Heat Transfer, Part A: Appl., vol. 55, pp. 18–41, 2008.
  • P. Asinari, S. C. Mishra, and R. Borchiellini A Lattice Boltzmann Formulation for the Analysis of Radiative Heat Transfer Problems in a Participating Medium, Numer. Heat Transfer, Part B: Fundam., vol. 57, pp. 126–146, 2010.
  • T. Zhang, B. Shi, Z. Guo, Z. Chai, and J. Lu General Bounce-Back Scheme for Concentration Boundary Condition in the Lattice-Boltzmann Method, Phys. Rev. E, vol. 85, p. 016701, 2012.
  • Q. Chen, X. Zhang, and J. Zhang Improved Treatments for General Boundary Conditions in the Lattice Boltzmann Method for Convection-Diffusion and Heat Transfer Processes, Phys. Rev. E, vol. 88, p. 033304, 2013.
  • W. H. Sutton A Short Time Solution for Coupled Conduction and Radiation in a Participating Slab Geometry, J. Heat Transfer, vol. 108, pp. 465–466, 1986.
  • J. Lin and J. Tsai Transient Combined Conduction and Radiation with Anisotropic Scattering, J. Thermophys. Heat Transfer, vol. 4, pp. 92–97, 1990.
  • P. Talukdar and S. C. Mishra Transient Conduction and Radiation Heat Transfer with Heat Generation in a Participating Medium Using the Collapsed Dimension Method, Numer. Heat Transfer, Part A: Appl., vol. 39, pp. 79–100, 2001.
  • C. Wu and N. Ou Transient Two-Dimensional Radiative and Conductive Heat Transfer in a Scattering Medium, Int. J. Heat Mass Transfer, vol. 37, pp. 2675–2686, 1994.
  • 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.

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.