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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 55, 2008 - Issue 1
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Original Articles

Simulation of Natural Convection in the Presence of Volumetric Radiation Using the Lattice Boltzmann Method

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Pages 18-41 | Received 25 Apr 2008, Accepted 17 Oct 2008, Published online: 22 Dec 2008

REFERENCES

  • J. Y. Oh , M. Y. Ha , and T. F. Kim , A Numerical Study of Heat Transfer and Flow of Natural Convection in an Enclosure with a Heat Generating Conducting Body , Numer. Heat Transfer A , vol. 31 , pp. 289 – 304 , 1997 .
  • M. Y. Ha and M. J. Jung , A Numerical Study on Three-Dimensional Conjugate Heat-Transfer of Natural Convection and Conduction in a Differentially-Heated Cubic Enclosure with a Heat Generating Cubic Conducting Body , Int. J. Heat Mass Transfer , vol. 43 , pp. 4229 – 48 , 2000 .
  • E. Sediki , A. Soufiani , and M. S. Sifaoui , Combined Gas Radiation and Laminar Mixed Convection in Vertical Circular Tubes, Int. J. Heat and Fluid Flow , vol. 24, pp. 736–746, 2003.
  • A. Yucel , S. Acharya , and S. Williams , Natural Convection and Radiation in a Square Enclosure , Numer. Heat Transfer A , vol. 15 , pp. 261 – 277 , 1989 .
  • K. Slimi , L. Zili-Ghedira , S. Ben Nasrallah , and A. A. Mohamad , A Transient Study of Coupled Natural Convection and Radiation in a Porous Vertical Channel using the Finite Volume Method , Numer. Heat Transfer A , vol. 45 , pp. 451 – 478 , 2004 .
  • C. Balaji and S.P. Venkateshan , Combined Conduction, Convection and Radiation in a Slot , Int. J. Heat and Fluid Flow , vol. 16 , pp. 139 – 144 , 1995 .
  • S. N. Singh and S. P. Venkateshan , Numerical Study of Natural Convection with Surface Radiation in Side-Vented Open Cavities , Int. J. Thermal Sci. , vol. 43 , pp. 865 – 876 , 2004 .
  • E. H. Ridouane , M. Hasnoui , A. Amahmid , and A. Raji , Interaction Between Natural Convection and Radiation in a Square Cavity Heated from Below , Numer. Heat Transfer A , vol. 45 , pp. 289 – 311 , 2004 .
  • J. F. Hinojosa , C. A Estrada , R. E. Cabanilles , and G. Alvarez , Numerical Study of Transient and Steady-State Natural Convection and Surface Radiation in Horizontal Square Open Cavity , Numer. Heat Transfer A , vol. 48 , pp. 179 – 196 , 2005 .
  • A. K. Sharma , K. Velusamy , C. Balaji , and S. P. Venkateshan , Conjugate Turbulent Natural Convection with Surface Radiation in Air Filled Rectangular Enclosures , Int. J. Heat Mass Transfer , vol. 50 , pp. 625 – 639 , 2007 .
  • A. Shu , Y. Peng , and Y. T. Chew , Simulation of Natural Convection in a Square Cavity by Taylor Series Expansion- and Least Square Based Lattice Boltzmann Method , Int. J. Modern Phys. , vol. 13 , pp. 1399 – 1414 , 2002 .
  • T. Seta , E. Takegoshi , and K. Okui , Lattice Boltzmann Simulation of Natural Convection in Porous Media , Math. Comp. Simulations , vol. 72 , pp. 195 – 200 , 2006 .
  • 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 .
  • F. Kuznik and G. Rusaouen , Numerical Prediction of Natural Convection Occurring in Building Components: A Double-Population Lattice Boltzmann Method , Numer. Heat Transfer A , vol. 52 , pp. 315 – 335 , 2007 .
  • R. El Ayachi , A. Raji , M. Hasnaoui , and A. Bahlaoui , Combined Effect of Radiation and Natural Convection in a Square Cavity Differentially Heated with a Periodic Temperature , Numer. Heat Transfer A , vol. 53 , pp. 1339 – 1356 , 2008 .
  • G. Diaz and R. Winston , Effect of Surface Radiation on Natural Convection in Parabolic Enclosures , Numer. Heat Transfer A , vol. 53 , pp. 891 – 906 , 2008 .
  • A Bahlaoui, A. Raji , R. El Ayachi , M. Hasnaoui , M. Lamsaadi , and M. Nami , Coupled Natural Convection and Radiation in a Horizontal Rectangular Enclosure Discretely Heated from Below , Numer. Heat Transfer A , vol. 52 , pp. 1027 – 1042 , 2007 .
  • S. Janallah , H. Sammouda , and A. Belghith , Effect of Surface Radiation on the Natural-Convection Stability in a Two-Dimensional Enclosure with Diffusely Emitting Boundary Wall , Numer. Heat Transfer A , vol. 51 , pp. 495 – 516 , 2007 .
  • N. Bianco , L. Langellotto , O. Manca , and V. Naso , Numerical Analysis of Radiative Effects on Natural Convection in Vertical Convergent and Symmetric Heated Channels , Numer. Heat Transfer A , vol. 49 , pp. 369 – 391 , 2006 .
  • F. Kunzik , J. Vereilles , G. Rusaouen , and G. Krauss , A Double-Population Lattice Boltzmann Method with Non-Uniform Mesh for the Simulation of Natural Convection in a Square Cavity , Int. J. Heat Fluid Flow , vol. 28 , pp. 862 – 870 , 2007 .
  • M. Jami , A. Mezrhab , M. Bouzidi , and P. Lallemand , Lattice Boltzmann Method Applied to the Laminar Natural Convection in an Enclosure with a Heat-Generating Cylinder Conducting Body , Int. J. Thermal Sci. , vol. 46 , pp. 38 – 47 , 2007 .
  • S. Succi , The Lattice Boltzmann Method for Fluid Dynamics and Beyond , Oxford University Press , New York , 2001.
  • S. Chen and G. D. Doolen , Lattice Boltzamann Method for Fluid Flows , Annu. Rev. Fluid Mech. , vol. 30 , 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 .
  • L. Zhu , D. Tretheway , L. Petzold , and C. Meinhart , Simulation of Fluid Slip at 3-D Hydrophobic Micro Channel Walls by the Lattice Boltzmann Method , J. Comput. Phys. , vol. 202 , pp. 181 – 195 , 2005 .
  • W. S. Jiaung , J. R. Ho , and C. P. Kuo , Lattice Boltzmann Method for Heat Conduction Problem with Phase Change , Numer. Heat Transfer B , vol. 39 , pp. 167 – 187 , 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 .
  • D. Chatterjee and S. Chakraborty , A Hybrid Lattice Boltzmann Model for Solid–Liquid Phase Transition in Presence of Fluid Flow , Phys. Lett. A , vol. 351 , pp. 359 – 367 , 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 .
  • 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. Chakraborty and D. Chatterjee , An Enthalpy-Based Hybrid Lattice-Boltzmann Method for Modeling Solid–Liquid Phase Transition in the Presence of Convective Transport , J. Fluid Mech. , vol. 592 , pp. 155 – 175 , 2007 .
  • B. Mondal , S. C. Mishra , P. Asinari , and R. Borchiellini , Analysis of a Localized Fire in a 3-D Tunnel using a Hybrid Solver: Lattice Boltzmann Method, Finite-Volume Method and Fully Explicit Upwind Scheme , Numer. Heat Transfer A , vol. 53 , pp. 392 – 417 , 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 , 798 – 818 , 2008 .
  • W. W. Yan , Y. Liu , Z. L. Guo , and Y. S. Xu , Lattice Boltzmann Simulation on Natural Convection Heat Transfer in a Two-Dimensional Cavity Filled with Heterogeneously Porous Medium , Int. J. Modern Phys. , vol. 17 , pp. 771 – 783 , 2006 .
  • M. K. Banda , A. Klar , and M. Seaid , A Lattice-Boltzmann Relaxation Scheme for Coupled Convection-Radiation Systems , J. Comp. Phys. , vol. 206 , pp. 1408 – 1431 , 2007 .
  • Z. Tan and J. R. Howell , Combined Radiation and Natural Convection in a Two Dimensional Participating Square Medium , Int. J. Heat Mass Transfer , vol. 34 , pp. 785 – 791 , 1991 .
  • J. C. Chai and S. V. Patankar , Finite-Volume Method for Radiation Heat Transfer , Adv. Numer. Heat Transfer , vol. 2 , pp. 109 – 138 , 2000 .
  • T. Inamura , M. Yoshino , and F. Ogino , A Non-Slip Boundary Condition for Lattice Boltzmann Simulations , Phys. Fluids , vol. 7 , pp. 2928 – 2930 , 1995 .
  • X. He , Q. Zou , L. S. Luo , and M. Dembo , Analytic Solutions of Simple Flows and Analysis of Non-Slip Boundary Condition for the Lattice Boltzmann BGK Model , J. Stat. Phys. , vol. 87 , pp. 115 – 136 , 1997 .
  • G. D. V. Davis , Natural Convection of Air in a Square Cavity: A Benchmark Numerical Solution , Int. J. Numer. Meth. Fluids , vol. 3 , pp. 249 – 264 , 1983 .

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