Benchmark numerical solutions for radiative heat transfer in two-dimensional medium with graded index distribution

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 102, Issue 2, 2006, Pages 293-303

  Liu, L H ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Benchmark solution; Graded index; Monte Carlo method; Radiative heat transfer; Semitransparent medium

Indexed keywords

APPROXIMATION THEORY; GRADIENT INDEX OPTICS; HEAT FLUX; MONTE CARLO METHODS; RAY TRACING; REFRACTIVE INDEX;

BENCHMARK NUMERICAL SOLUTION; FERMAT PRINCIPLE; SEMITRANSPARENT MEDIUM;

HEAT RADIATION;

HEAT TRANSFER; MONTE CARLO ANALYSIS; RAY TRACING; REFRACTIVE INDEX;

EID: 33746798517     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2006.02.014     Document Type: Article

References (18)

1. Born M., and Wolf E. Principles of optics. 7th ed (1999), Cambridge University Press, Cambridge
2. Qiao Y.T. Graded index optics (1991), Science Press, Beijing p. 45-168
3. Ben Abdallah P., and Le Dez V. Thermal field inside an absorbing-emitting semitransparent slab at radiative equilibrium with variable spatial refractive index. JQSRT 65 (2000) 595-608
4. Ben Abdallah P., and Le Dez V. Thermal emission of a two-dimensional rectangular cavity with spatial affine refractive index. JQSRT 66 (2000) 555-569
5. Ben Abdallah P., and Le Dez V. Thermal emission of a semitransparent slab with variable spatial refractive index. JQSRT 67 (2000) 185-198
6. Ben Abdallah P., Charette A., and Le Dez V. Influence of a spatial variation of the thermo-optical constants on the radiative transfer inside an absorbing-emitting semitransparent sphere. JQSRT 70 (2001) 341-365
7. Huang Y., Xia X.L., and Tan H.P. Radiative intensity solution and thermal emission analysis of a semitransparent medium layer with a sinusoidal refractive index. JQSRT 74 (2002) 217-233
8. 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. JQSRT 74 (2002) 249-261
9. Liu L.H. Discrete curved ray-tracing method for radiative transfer in an absorbing-emitting semitransparent slab with variable spatial refractive index. JQSRT 83 (2004) 223-228
10. 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. JQSRT 84 (2004) 357-362
11. Liu L.H., Kudo K., and Li B.X. Comparison of ray-tracing methods for semitransparent slab with variable spatial refractive index. JQSRT 85 (2004) 125-133
12. Liu L.H. Finite volume method for radiation heat transfer in graded index medium. J Thermophys Heat Transfer 20 (2006) 59-66
13. Liu L.H., Zhang L., and Tan H.P. Finite element method for radiative heat transfer in multi-dimensional graded index medium. JQSRT 97 (2006) 436-445
14. Siegel R., and Howell JR. Thermal radiation heat transfer. 4th ed (2002), Taylor and Francis, Washington, DC
15. Modest M.F. Radiative heat transfer. 2nd ed (2003), Academic Press, San Diego, CA
16. Mahan JR. Radiation heat transfer (2002), Wiley, New York
17. Liu L.H. Backward Monte Carlo method based on radiation distribution factor. J Thermophys Heat Transfer 18 (2004) 151-153
18. Liu L.H. Apparent emissivity of an absorbing-emitting-scattering semitransparent slab with variable spatial refractive index. Heat Mass Transfer 40 (2004) 877-880