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1- Dimensional Transient Radiative Heat Transfer Using Finite Volume Method with 2-Order Upwind Scheme and QUICK Scheme

1차원 비정상상해 복사열전달 해석을 위한 2차 상류스킴 및 QUICK 스킴의 유한체적복사해법 적용 연구

  • 이건호 (건국대학교 대학원 기계공학과) ;
  • 김만영 (전북대학교 항공우주공학과) ;
  • 변도영 (건국대학교 항공우주공학과 e-시스템통합기술연구센터)
  • Published : 2006.03.01

Abstract

Transient radiative heat transfer is analyzed in a one-dimensional slab using finite volume method (FVM). In this study, the step, $2^{nd}$ order upwind, and QUICK schemes are used for incident diffuse radiation and collimated beam, respectively. The results fer diffuse radiation show that all schemes applied in this study give good agreements with available published results. In case of collimated beam however, the results show deviations from the analytical solutions. To successfully describe the propagations of collimated beam shock capturing schemes such as TVD scheme are need to be developed.

Keywords

References

  1. Guo, Z. and Kumar, S., 2001, 'Two-Dimensional Transient Radiative Heat Transfer Using Discrete Ordinates Method,' Proc. CHT'01: The second International Symposium on Advances in Computational Heat Transfer, Palm Cove, Queensland, Australia, pp. 1073-1080
  2. Guo, Z. and Kumar, S., 2002, 'Discrete-Ordinates Solution of Short-Pulsed Laser Transport in Two-Dimensional Turbid Media,' Appl. Opt, Vol. 40, No. 19, pp. 3156-3163 https://doi.org/10.1364/AO.40.003156
  3. Longtin, J. P. and Tien, C. L., 1996, 'Saturable Absorption During High-Intensity Laser Heating of Liquids,' J. Heat Transfer, Vol. 118, pp. 924-930 https://doi.org/10.1115/1.2822590
  4. Qui, T. G. and Tien, C. L., 1992, 'Short Pulse Laser Heating in Metals,' Int. J. Heat Mass Transfer, Vol. 35, pp. 719-726 https://doi.org/10.1016/0017-9310(92)90131-B
  5. Yamada, Y., 1995, 'Light-Tissue Interaction and Optical Imaging in Biomedicine,' Annu. Rev. Fluid Mech. Heat Transfer, C. L. Tien (Ed.), Vol. 6, pp. 1-59 https://doi.org/10.1615/AnnualRevHeatTransfer.v6.30
  6. Wilson, B. C. and Adam, G., 1983, 'A Monte Carlo Model for the Absorption and Flux Distirbutions of Light in Tissue,' Med. Phys., Vol. 10, pp. 824-830 https://doi.org/10.1118/1.595361
  7. Brewster, M. Q. and Yamada, Y., 1995, 'Optical Properties of Thick Turbid Media from Pico-second Time-Resolved Light Scattering Measurements,' Int. J. Heat Mass Transfer, Vol. 38, pp. 2569-2581 https://doi.org/10.1016/0017-9310(95)00013-Y
  8. Hasegawa, Y., Yamada, Y., Tamura, M. and Nomura, Y., 1991, 'Monte Carlo Simulation of Light Transmission through Living Tissues,' Appl. Opt., Vol. 30, pp. 4515-4520 https://doi.org/10.1364/AO.30.004515
  9. Flock, S. T., Patterson, M. S., Wilson, B. C. and Wyman, D. R., 1989, 'Monte Carlo Modeling of Light Propogation in Highly Scattering Tissues-I: Model Predictions and Comparison with Diffusion Theory,' IEEE Trans. Med. Eng., Vol. 36, pp. 4515-4520 https://doi.org/10.1109/TBME.1989.1173624
  10. Jacques, S. L., 1989, 'Time Resolved Propogation of Ultrashort Laser Pules within Turbid Tissues,' Appl. Opt., Vol. 28, pp. 2223-2229 https://doi.org/10.1364/AO.28.002223
  11. Hsu, P. F., 2000, 'Effects of Multiple Scattering and Refective Boundary on the Transient Radiative Transfer Process,' Proc.2000 Natl. Heat Transfer Conf., August 20-22
  12. Tan, Z. M. and Hsu, P. F., 2001, 'An Integral Formulation of Transient Radiative Transfer,' J. Heat Transfer, Vol. 123, pp. 466-475 https://doi.org/10.1115/1.1371230
  13. Wu, C. Y., 2000, 'Propagation of Scattered Radiation in a Participating Planar Medium with Pulse Irradiation,' J. Quant. Spectrosc. Radiant. Transfer, Vol. 64, No. 5, pp. 537-548 https://doi.org/10.1016/S0022-4073(99)00151-X
  14. Wu, C. Y. and Wu, S. Y, 2000, 'Integral Equation Formulation for Transient Radiative Transfer in an Anisotropically Scattering Medium,' Int. J. Heat Transfer, Vol. 43, pp. 2009-2020 https://doi.org/10.1016/S0017-9310(99)00262-8
  15. Sakami, M., Mitra, K., and Hsu, P. F., 2000, 'Transient Radiative Transfer in Anisotropically Scattering Media Using Monotonicity-Preserving Schemes,' Proc. IMECE 2000, November 5-10
  16. Sakami, M., Mitra, K. and Hsu, P. F., 2002, 'Analysis of Light-Pulse Transport Through Two-Dimensional Scattering and Absorbing Media,' J. Quant. Spectrosc. Radiant. Transfer, Vol. 73, pp. 169-172 https://doi.org/10.1016/S0022-4073(01)00216-3
  17. Sakami, M., Mitra, K. and Vo-Dinh, T., 2002, 'Analysis of Short-Pulse Laser Photon Transport Through Tissues for Optical Tomography,' Opt. Lett., Vol. 27, No.5, pp. 336-338 https://doi.org/10.1364/OL.27.000336
  18. Chui, E. H. and Raithby, G. D., 1993, 'Computation of Radiant Heat Transfer on a Nonorthogonal Mesh Using the Finite-Volume Method,' Numerical Heat Transfer, Part B, Vol. 23, pp. 269-288 https://doi.org/10.1080/10407799308914901
  19. Chai, J. C., Lee, H. S. and Patankar, S. V., 1995, 'Finite Volume Radiative Heat Transfer Procedure for Irregular Geometries,' AIAA Journal of Thermophysics and Heat Transfer, Vol. 9, No.3, pp. 410-415 https://doi.org/10.2514/3.682
  20. Baek, S. W., Kim, M. Y. and Kim, J. S., 1998, 'Nonorthogonal Finite-Volume Solutions of Radiative Heat Transfer in a Three-Dimensional Enclosure,' Numerical Heat Transfer, Part B, Vol. 34, No. 4, pp. 419-437 https://doi.org/10.1080/10407799808915066
  21. Chai, J. C., Lee, H. S. and Patankar, S. V., 1993, 'Ray Effect and False Scattering in the Discrete Ordinates Method,' Numerical Heat Transfer, Part B, Vol. 24, pp. 373-359 https://doi.org/10.1080/10407799308955899
  22. Byun, D. Y., Baek, S. W. and Kim, M. Y., 2000, 'Radiation in Discretely Heated Irregular Geometry Using Monte-Carlo, Finite-Volume, and Modified Discrete-Ordinate Interpolation Method,' Numerical Heat Transfer, Part A (Applications), Vol. 37, pp. 1-18 https://doi.org/10.1080/104077800274389
  23. Chai, J. C., 2003, 'One-Dimensional Transient Radiation Heat Transfer Modeling Using a Finite-Volume Method,' Numerical Heat Transfer, Part B, Vol. 44, pp. 187-208 https://doi.org/10.1080/713836346
  24. Byun, D. Y., Lee, C. J. and Baek, S. W., 2004, Radiative Heat Transfer in Discretely Heated Irregular Geometry with an Absorbing, Emitting, and Anisotropically Scattering Medium Using Combined Monte-Carlo and Finite Volume Method, Trans. Of the KSME(B), Vol. 28, No. 5, pp. 580-586
  25. Hoffmann, K. A., 2000, Computational Fluid Dynamics, A Publication of Engineering Education System, USA