Transient coupled heat transfer inside a scattering medium with graded refractive index

Journal of Thermophysics and Heat Transfer

Volumn 20, Issue 3, 2006, Pages 583-594

  Tan, He Ping ^a   Yi, Hong Liang ^a   Luo, Jian Feng ^b,c   Zhang, Hao Chun ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b NATIONAL UNIVERSITY OF DEFENSE TECHNOLOGY   (China)

^c School of Energy Science and Engineering ^*

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ENERGY ABSORPTION; GRADIENT INDEX OPTICS; NONLINEAR SYSTEMS; RAY TRACING; REFRACTIVE INDEX;

GRADED REFRACTIVE INDEX; RADIATIVE TRANSFER; SLAB THICKNESS; TRANSIENT COUPLED HEAT TRANSFER;

HEAT TRANSFER;

COMPUTER SIMULATION; ENERGY ABSORPTION; GRADIENT INDEX OPTICS; HEAT TRANSFER; NONLINEAR SYSTEMS; RAY TRACING; REFRACTIVE INDEX;

EID: 33747034535     PISSN: 08878722     EISSN: 15336808     Source Type: Journal    
DOI: 10.2514/1.15824     Document Type: Article

References (40)

1. Frankel, J. I., "Cumulative Variable Formulation for Transient Conductive and Radiative Transport in Participating Medium," Journal of Thermophysics and Heat Transfer, Vol. 9, No. 2, 1995, pp. 210-218.
2. Abulwafa, E, M., "Conductive-Radiative Heat Transfer in an Inhomogeneous Slab with Directional Reflecting Boundaries," Journal of Physics D: Applied Physics, Vol. 32, No. 14, 1999, pp. 1626-1632.
3. N Approximations of the Transport Equation and Combined Conduction-Radiation Heat Transfer Problem," Progress in Nuclear Energy, Vol. 42, No. 4, 2003, pp. 427-437.
4. Muresan, C., Vaillon, R., Menezo, C, and Morlot, R., "Discrete Ordinates Solution of Coupled Conductive Radiative Heat Transfer in a Two-Layer Slab with Fresnel Interfaces Subject to Diffuse and Obliquely Collimated Irradiation," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 84, No. 4, 2004, pp. 551-562.
5. Tan, H. P., Wang, P. Y., and Xia, X. L., "Transient Coupled Radiation and Conduction in an Absorbing and Scattering Composite Layer," Journal of Thermophysics and Heat Transfer, Vol. 14, No. 1, 2000, pp. 77-87.
6. Tan, H. P., Luo, J. F., and Xia, X. L., "Transient Coupled Radiation and Conduction in a Three-Layer Composite with Semitransparent Specular Interfaces and Surfaces," Journal of Heat Transfer, Vol. 124, No. 2, 2002, pp. 470-481.
7. Tsai, C. F., and Nixon, G., "Transient Temperature Distribution of a Multilayer Composite Wall with Effects of Internal Radiation and Conduction," Numerical Heat Transfer, Vol. 10, No. 1, 1986, pp. 95-101.
8. Timoshenko, V. P., and Trenev, M. G., "A Method for Evaluation Heat Transfer in Multilayer Semitransparent Materials," Heat Transfer-Soviet Research, Vol. 18, No. 5, 1986, pp. 44-57.
9. Luo, J. F., Tan, H. P., Ruan, L. M., and Tong, T. W., "Refractive Index Effects on Heat Transfer in Multilayer Scattering Composite," Journal of Thermophysics and Heat Transfer, Vol. 17, No. 3, 2003, pp. 407-419.
10. Siegel, R., "Transient Thermal Effects of Radiant Energy in Translucent Materials," Journal of Heat Transfer, Vol. 120, No. 1, 1998, pp. 4-23.
11. Siegel, R., and Spuckler, C. M., "Variable Refractive Index Effects on Radiation in Semitransparent Scattering Multilayered Regions," Journal of Thermophysics and Heat Transfer, Vol. 7, No. 4, 1993, pp. 624-630.
12. Siegel, R., and Spuckler, C. M., "Refractive Index Effects on Radiation in an Absorbing, Emitting, and Scattering Laminated Layer," Journal of Heat Transfer, Vol. 115, No. 1, 1993, pp. 194-200.
13. Spuckler, C. M., and Siegel, R., "Refractive Index Effects on Radiative Behavior of a Heated Absorbing-Emitting Layer," Journal of Thermophysics and Heat Transfer, Vol. 6, No. 4, 1992, pp. 596-604.
14. Siegel, R., "Refractive Index Effects on Transient Cooling of a Semitransparent Radiating Layer," Journal of Thermophysics and Heat Transfer, Vol. 9, No. 1, 1995, pp. 55-62.
15. Siegel, R., "Transient Thermal Analysis of Parallel Translucent Layers by Using Green's Functions," Journal of Thermophysics and Heat Transfer, Vol. 13, No. 1, 1999, pp. 10-17.
16. Liu, C. C., and Dougherty, R. L., "Anisotropically Scattering Media Having a Reflective Upper Boundary," Journal of Thermophysics and Heat Transfer, Vol. 13, No. 2, 1999, pp. 177-184.
17. Crosbie, A. L., and Shieh, S. M., "Three-Dimensional Radiative Transfer for Anisotropic Scattering Medium with Refractive Index Greater Than Unity," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 44, No. 2, 1990, pp. 299-312.
18. Schwander, D., Flamant, G., and Olalde, G., "Effects of Boundary Properties on Transient Temperature Distributions in Condensed Semitransparent Media," International Journal of Heat and Mass Transfer, Vol. 33, No. 8, 1990, pp. 1685-1695.
19. Su, M. H., and Sutton, W. H., "Transient Conductive and Radiative Heat Transfer in a Silica Window," Journal of Thermophysics and Heat Transfer, Vol. 9, No. 2, 1995, pp. 370-373.
20. Siegel, R., and Spuckler, C. M., "Effects of Refractive Index and Diffuse or Specular Boundaries on a Radiating Isothermal Layer," Journal of Heat Transfer, Vol. 116, No. 3, 1994, pp. 787-790.
21. Luo, J. F., Xia, X. L., Tan, H. P., and Tong, T. W., "Transient Coupled Heat Transfer in Three-Layer Composite with Opaque Specular Surfaces," Journal of Thermophysics and Heat Transfer, Vol. 16, No. 3, 2002, pp. 297-305.
22. Ben Abdallah, P., and Le Dez, V., "Temperature Field Inside an Absorbing-Emitting Semitransparent Slab at Radiative Equilibrium with Variable Spatial Refractive Index," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 65, No. 4, 2000, pp. 595-608.
23. Ben Abdallah, P., and Le Dez, V., "Radiative flux Field inside an Absorbing-Emitting Semitransparent Slab with Variable Spatial Refractive Index at Radiative Conductive Coupling," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 67, No. 2, 2000, pp. 125-137.
24. Lemonnier, D., and Le Dez, V., "Discrete Ordinates Solution of Radiative Transfer across a Slab with Variable Refractive Index," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 73, No. 2, 2002, pp. 195-204.
25. Huang, Y., Xia, X. L., and Tan, H. P., "Temperature Field of Radiative Equilibrium in a Semitransparent Slab with a Linear Refractive Index and Gray Walls," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 74, No. 2, 2002, pp. 249-261.
26. Xia, X. L., Huang, Y., and Tan, H. P., "Simultaneous Radiation and Conduction Heat Transfer in a Graded Index Semitransparent Slab with Gray Boundaries," International Journal of Heat and Mass Transfer, Vol. 45, No. 13, 2002, pp. 2673-2688.
27. Huang, Y., Xia, X. L., and Tan, H. P., "Radiation Equilibrium Temperature Field in a Gradient Index Medium with Specular Surfaces," Heat and Mass Transfer, Vol. 39, No. 10, 2003, pp. 835-842.
28. Liu, L. H., "Discrete Curved Ray-Tracing Method for Radiative Transfer in an Absorbing-Emitting Semitransparent Slab with Variable Spatial Refractive Index," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 83, No. 2, 2004, pp. 223-228.
29. Liu, L. H., Zhang, H. C., and Tan, H. P., "Monte Carlo Discrete Curved Ray-Tracing Method for Radiative Transfer in an Absorbing-Emitting Semitransparent Slab with Variable Spatial Refractive Index," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 84, No. 3, 2004, pp. 357-362.
30. Ben Abdallah, P., Fumeron, S., Le Dez, V., and Charette, A., "Integral Form of the Radiative Transfer Equation Inside Refractive Cylindrical Media," Journal of Thermophysics and Heat Transfer, Vol. 15, No. 2, 2001, pp. 184-189.
31. Ben Abdallah, P., Le Dez, V., Lemonnier, D., Fumeron, S., and Charette, A., "Inhomogeneous Radiative Model of Refractive and Dispersive Semitransparent Stellar Atmospheres," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 69, No. 1, 2001, pp. 61-80.
32. Liu, L. H., Tan, H. P., and Yu, Q. Z., "Temperature Distributions in an Absorbing-Emitting-Scattering Semitransparent Slab with Variable Spatial Refractive Index," International Journal of Heat and Mass Transfer, Vol. 46, No. 15, 2003, pp. 2917-2920.
33. Huang, Y., Liang, X. G., and Xia, X. L., "Monte Carlo Simulation of Radiative Transfer in Scattering, Emitting, Absorbing Slab with Gradient Index," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 92, No. 1, 2005, pp. 111-120.
34. Huang, Y., Xia, X. L., and Tan, H. P., "Coupled Radiation and Conduction in a Graded Index Layer with Specular Surfaces," Journal of Thermophysics and Heat Transfer, Vol. 18, No. 2, 2004, pp. 281-285.
35. Liu, L. H., and Tan, H. P., "Transient Temperature Response in Semitransparent Variable Refractive Index Medium Subjected to a Pulse Irradiation," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 83, No. 3-4, 2004, pp. 333-344.
36. Tan, H. P., Luo, J. F., Ruan, L. M., and Yu, Q. Z., "Transient Coupled Heat Transfer in a Multi-Layer Composite with Opaque Specular Surfaces and Semitransparent Specular Interfaces," International Journal of Thermal Sciences, Vol. 42, No. 2, 2003, pp. 209-222.
37. Tan, H. P., Yi, H. L., Zhang H. C., Wang P. Y., and Tong, T. W., "Coupled Radiation-Conduction Heat Transfer in an Anisotropically Scattering Slab with Mixed Boundaries," Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 83, No. 3-4, 2004, pp. 667-698.
38. Hottel, H. C., and Sarofim, A. F., Radiative Transfer, McGraw-Hill, New York, 1967, pp. 265-266.
39. Goyhénèche, J. M., and Sacadura, J. F., "The Zone Method: A New Explicit Matrix Relation to Calculate the Total Exchange Areas in Anisotropically Scattering Medium Bounded by Anisotropically Reflecting Walls," Journal of Heat Transfer, Vol. 124, No. 4, 2002, pp. 696-703.
40. Tan, H. P., and Yu, Q. Z., "Numerical Analysis of Temperature Field in Materials During Infrared Heating," Chinese Journal of Infrared and Millimeter Waves, 10, No. 2, 1991, pp. 169-178.