Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 56, 2009 - Issue 1
245
Views
35
CrossRef citations to date
0
Altmetric
Original Articles

Lattice Boltzmann Method Applied to the Analysis of Transient Conduction-Radiation Problems in a Cylindrical Medium

, , , &
Pages 42-59 | Received 29 Jan 2008, Accepted 03 Jun 2009, Published online: 22 Jul 2009

REFERENCES

  • X. He , S. Chen , and G. D. Doolen , A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit , J. Comp. Phys. , vol. 146 , pp. 282 – 300 , 1998 .
  • W. Shi , W. Shyy , and R. Mei , Finite-Difference based Lattice Boltzmann Method for Inviscid Compressible Flows , Numer. Heat Transfer B , vol. 40 , pp. 1 – 21 , 2001 .
  • S. Succi , The Lattice Boltzmann Method for Fluid Dynamics and Beyond , Oxford University Press , 2001 .
  • D. A. Wolf-Gladrow , Lattice Gas Cellular Automata and Lattice Boltzmann Models: An Introduction , Springer-Verlag , Berlin-Heidelberg , 2000 .
  • 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. Comp. Phys. , vol. 202 , pp. 181 – 195 , 2005 .
  • 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 .
  • 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 .
  • 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 .
  • 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 Nonuniform Lattices , Int. J. Heat Mass Transfer , vol. 51 , pp. 68 – 82 , 2008 .
  • D. A. Anderson , J. C. Tannehill , and R. H. Pletcher , Computational Fluid Mechanics and Heat Transfer , Hemisphere Publishing , New York , 1984 .
  • O. C. Zienkiewicz , R. L. Taylor , and P. Nithiarasu , The Finite Element Method for Fluid Dynamics, , 6th ed., Elsevier , 2005.
  • S. V. Patankar , Numerical Heat Transfer and Fluid Flow , Hemisphere Publishing Corp. , Washington , DC , 1980 .
  • A. S. Jamaluddin and P. J. Smith , Predicting Radiative Transfer in Axisymmetric Cylindrical Enclosures using the Discrete Ordinates Method , Combust. Sci. Tech. , vol. 62 , pp. 173 – 186 , 1988 .
  • J. P. Moder , J. C. Chai , G. Parthasarathy , H. S. Lee , and S. V. Patankar , Nonaxisymmetric Radiative Transfer in Cylindrical Enclosures , Numer. Heat Transfer B , vol. 30 , pp. 437 – 452 , 1996 .
  • M. Permutter and J. R. Howell , Radiant Transfer through a Gray Gas between Concentric Cylinders , J. Heat Transfer , vol. 86 , pp. 165 – 179 , 1964 .
  • E. H. Chui , G. D. Raithby , and P. M. J. Hughes , Prediction of Radiative Transfer in Cylindrical Enclosures with the Finite Volume Method , J. Thermophys. Heat Transfer , vol. 6 , pp. 605 – 611 , 1992 .
  • J. Y. Murthy and S. R. Mathur , Radiative Heat Transfer in Axisymmetric Geometries using an Unstructured Finite-Volume Method , Numer. Heat Transfer, B , vol. 33 , pp. 397 – 416 , 1998 .
  • J. C. Chai and S. V. Patankar , Finite Volume Method for Radiation Heat Transfer , Adv. Numer. Heat Transfer , vol. 2 , pp. 110 – 135 , 2000 .
  • M. B. Salah , F. Askri , K. Slimi , and S. B. Nasrallah , Numerical Solution of the Radiative Transfer Equation in a Cylindrical Enclosure with the Finite Volume Method , Int. J. Heat Mass Transfer , vol. 47 , pp. 2501 – 2509 , 2004 .
  • M. Y. Kim and S. W. Baek , Modelling of Radiative Heat Transfer in an Axisymmetric Cylindrical Enclosure with Participating Medium , J. Quant. Spectrosc. Radiat. Transfer , vol. 90 , pp. 377 – 388 , 2005 .
  • M. Y. Kim , Assessment of the Axisymmetric Radiative Heat Transfer in a Cylindrical Enclosure with the Finite Volume Method , Int. J. Heat Mass Transfer , vol. 51 , pp. 5144 – 5133 , 2008 .
  • P. F. Hsu , Z. M. Tan , S. H. Wu , and C. Y. Wu , Radiative Heat Transfer in Finite Cylindrical Homogeneous and Nonhomogeneous Scattering Media Exposed to Collimated Radiation , Numer. Heat Transfer A , vol. 35 , pp. 655 – 679 , 1999 .
  • Y. Chang and R. S. Smith , Steady and Transient Heat Transfer by Radiation and Conduction in a Medium Bounded by Two Coaxial Cylindrical Surfaces , Int. J. Heat Mass Transfer , vol. 13 , pp. 69 – 80 , 1970 .
  • R. Fernandes and J. Francis , Combined Conductive and Radiative Heat Transfer in an Absorbing, Emitting and Scattering Cylindrical Medium , J. Heat Transfer , vol. 104 , pp. 594 – 601 , 1982 .
  • M. Sakami , A. Charette , and V. L. 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 .
  • N. A. Dlala , T. Sghaier , and E. Seddiki , Numerical Solution of Radiative and Conductive Heat Transfer in Concentric Spherical and Cylindrical Media , J. Quant. Spectrosc. Radiat. Transfer , vol. 107 , pp. 443 – 457 , 2007 .
  • 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 .
  • 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 .
  • M. P. Menguc and R. Viskanta , Radiative Transfer in Axisymmetric Finite Cylindrical enclosures, J. Heat Transfer , vol. 108, pp. 271–276, 1986.
  • M. F. Modest , Radiative Heat Transfer, , 2nd ed. , Academic Press , New York , 2003 .
  • F. R. Steward and K. N. Tennankore , Towards a Finite Difference Solution Coupled with the Zone Method for Radiative Transfer for a Cylindrical Combustion Chamber , J. Inst. Energy , vol. 53 , pp. 107 – 114 , 1979 .
  • 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 .
  • S. C. Mishra and H. K. Roy , Solving Transient Conduction-Radiation Problems using the Lattice Boltzmann Method and the Finite Volume Method , J. Comp. Phys. , vol. 233 , pp. 89 – 107 , 2007 .

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.