Finite element solution of radiative transfer across a slab with variable spatial refractive index

被引：61

作者：

Liu, LH ^{[1
]}

机构：

[1] Harbin Inst Technol, Sch Energy Sci & Engn, Harbin 150001, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2005年 / 48卷 / 11期

关键词：

radiative heat transfer; variable spatial refractive index; semitransparent medium; finite element method;

D O I：

10.1016/j.ijheatmasstransfer.2004.12.045

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

To avoid the complicated computation of ray trajectories, a finite element formulation is developed to solve the radiative transfer problem in a one-dimensional absorbing-emitting-scattering semitransparent slab with variable spatial refractive index. A problem of radiative equilibrium is taken as an example to verify this finite element formulation. The predicted temperature distributions are determined by the proposed method and compared with the data in references. The results show that the finite element formulation presented in this paper has good accuracy in solving the radiative transfer in one-dimensional absorbing-emitting scattering semitransparent medium with variable spatial refractive index. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：2260 / 2265

页数：6

共 14 条

[1] Thermal emission of a semi-transparent slab with variable spatial refractive index [J].

Abdallah, P. Ben ;

Dez, V. Le .

Journal of Quantitative Spectroscopy and Radiative Transfer, 2000, 67 (03) :185-198

[2] Thermal emission of a two-dimensional rectangular cavity with spatial affine refractive index [J].

Ben Abdallah, P ;

Le Dez, V .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2000, 66 (06) :555-569

[3] Temperature field inside an absorbing-emitting semi-transparent slab at radiative equilibrium with variable spatial refractive index [J].

Ben Abdallah, P ;

Le Dez, V .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2000, 65 (04) :595-608

[4] Influence of a spatial variation of the thermo-optical constants on the radiative transfer inside an absorbing-emitting semi-transparent sphere [J].

Ben Abdallah, P ;

Charette, A ;

Le Dez, V .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2001, 70 (03) :341-365

[5]

HUANG HC, 1994, FINITE ELEMENT ANAL, P44

[6] Temperature field of radiative equilibrium in a semitransparent slab with a linear refractive index and gray walls [J].

Huang, Y ;

Xia, XL ;

Tan, HP .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2002, 74 (02) :249-261

[7] Radiative intensity solution and thermal emission analysis of a semitransparent medium layer with a sinusoidal refractive index [J].

Huang, Y ;

Xia, XL ;

Tan, HP .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2002, 74 (02) :217-233

[8] Discrete ordinates solution of radiative transfer across a slab with variable refractive index [J].

Lemonnier, D ;

Le Dez, V .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2002, 73 (2-5) :195-204

[9] Monte Carlo discrete curved ray-tracing method for radiative transfer in an absorbing-emitting semitransparent slab with variable spatial refractive index [J].

Liu, LH ;

Zhang, HC ;

Tan, HP .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2004, 84 (03) :357-362

[10] Temperature distributions in an absorbing-emitting-scattering semitransparent slab with variable spatial refractive index [J].

Liu, LH ;

Tan, HP ;

Yu, QZ .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2003, 46 (15) :2917-2920

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