Finite element method for radiation heat transfer in multi-dimensional graded index medium

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 97, Issue 3, 2006, Pages 436-445

  Liu, L H ^a   Zhang, L ^a   Tan, H P ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Finite element method; Graded index medium; Radiative heat transfer; Semitransparent medium

Indexed keywords

FINITE ELEMENT METHOD; FINITE VOLUME METHOD; GRADIENT INDEX OPTICS; HEAT FLUX; OPTICAL MATERIALS; REFRACTIVE INDEX; TRANSPARENCY;

GRADED INDEX MEDIUM; RADIATIVE HEAT TRANSFER; SEMITRANSPARENT MEDIUM;

HEAT RADIATION;

FINITE ELEMENT METHOD; RADIATIVE TRANSFER;

EID: 29244472031     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2005.05.067     Document Type: Article

References (18)

1. Y.T. Qiao Graded index optics 1991 Science Press Beijing p. 45-168
2. P. Ben Abdallah V. Le Dez Thermal field inside an absorbing-emitting semitransparent slab at radiative equilibrium with variable spatial refractive index J Quant Spectrosc Radiat Transfer 65 2000 595-608
3. P. Ben Abdallah V. Le Dez Thermal emission of a two-dimensional rectangular cavity with spatial affine refractive index J Quant Spectrosc Radiat Transfer 66 2000 555-569
4. P. Ben Abdallah V. Le Dez Thermal emission of a semitransparent slab with variable spatial refractive index J Quant Spectrosc Radiat Transfer 67 2000 185-198
5. P. Ben Abdallah A. Charette V. Le Dez Influence of a spatial variation of the thermo-optical constants on the radiative transfer inside an absorbing-emitting semitransparent sphere J Quant Spectrosc Radiat Transfer 70 2001 341-365
6. Y. Huang X.L. Xia H.P. Tan Radiative intensity solution and thermal emission analysis of a semitransparent medium layer with a sinusoidal refractive index J Quant Spectrosc Radiat Transfer 74 2002 217-233
7. Y. Huang X.L. Xia H.P. Tan Temperature field of radiative equilibrium in a semitransparent slab with a linear refractive index and gray walls J Quant Spectrosc Radiative Trans 74 2002 249-261
8. L.H. Liu Discrete curved ray-tracing method for radiative transfer in an absorbing-emitting semitransparent slab with variable spatial refractive index J Quant Spectrosc Radiat Transfer 83 2004 223-228
9. L.H. Liu H.C. Zhang H.P. Tan Monte Carlo discrete curved ray-tracing method for radiative transfer in an absorbing-emitting semitransparent slab with variable spatial refractive index J Quant Spectrosc Radiat Transfer 84 2004 357-362
10. L.H. Liu Finite volume method for radiation heat transfer in graded index medium J Thermophys Heat Transfer 19 2005 in press
11. M.M. Razzaque D.E. Klein J.R. Howell Finite element solution of radiative heat transfer in two-dimensional rectangular enclosure with gray participating media J Heat Transfer 105 1983 933-936
12. J.D. Lin Radiative transfer within an arbitrary isotropically scattering medium enclosed by diffuse surfaces J Thermophys Heat Transfer 2 1988 68-73
13. I. Anteby I. Shai A. Arbel Numerical calculations for combined conduction and radiation transient heat transfer in a semitransparent medium Numerical Heat Transfer, Part A 37 2000 359-371
14. P. Furmanski J. Bannaszek Finite element analysis of concurrent radiation and conduction in participating media J Quant Spectrosc Radiat Transfer 84 2004 563-573
15. W.A. Fiveland Finite element formulation of the discrete-ordinates method for multidimensional geometries J Thermophys Heat Transfer 8 1994 426-433
16. L.H. Liu Finite element simulation of radiative heat transfer in absorbing and scattering media J Thermophys Heat Transfer 18 2004 555-557
17. Liu LH. Finite element solution of radiative transfer across a slab with variable spatial refractive index. Int J Heat and Mass Transfer 2005;48: 2260-5.
18. J.C. Chai H.S. Lee S.V. Patankar Improved treatment of scattering using the discrete ordinates method J Heat Transfer 116 1994 260-263