半透明梯度折射率介质内辐射熵传递方程及其数值模拟

计算物理 ›› 2009, Vol. 26 ›› Issue (2): 267-274.

半透明梯度折射率介质内辐射熵传递方程及其数值模拟

刘林华

哈尔滨工业大学能源科学与工程学院, 黑龙江哈尔滨 150001

收稿日期:2007-10-15 出版日期:2009-03-25 发布日期:2009-03-25
作者简介:刘林华(1966-),male,Jiangxi,Professor,PHD,major in thermal radiative transfer.
基金资助:
Supported by the National Natural Science Foundation of China(50836002);the Science Fund of Heilongjiang Province for Distinguished Young Scholars(No.JC04-03).

Radiative Entropy Transfer Equation and Numerical Computation of Radiative Entropy Generation in Semitransparent Graded Index Medium

LIU Linhua

School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China

Received:2007-10-15 Online:2009-03-25 Published:2009-03-25
Supported by:
Supported by the National Natural Science Foundation of China(50836002);the Science Fund of Heilongjiang Province for Distinguished Young Scholars(No.JC04-03).

摘要/Abstract

摘要： 在非相干辐射条件下,基于Planck光谱辐射熵强度定义,导出半透明梯度折射率介质内光谱辐射熵传递方程,以及局部辐射熵产率理论表达式.基于离散坐标法对辐射熵传递方程进行数值求解.以一维半透明梯度介质平板为例,对辐射熵方程及其算法进行验证.平板整体无因次辐射熵产的计算结果与宏观热力学定律的结果一致.

关键词: 辐射熵传递方程, 辐射熵产, 离散坐标法, 半透明介质, 梯度折射率

Abstract: With hypothesis that radiation is incoherent, based on Planek's definition of radiative entropy, radiative entropy transfer equation and local radiative entropy generation in semitransparent graded index medium are derived. A calculation method based on discrete-ordinates approach is used to solve radiative entropy transfer equation in semitransparent graded index medium. A one-dimensional slab system filled with semitransparent graded index medium is taken as an example to verify the radiative entropy transfer equation and the calculation method. Numerical results of dimensionless radiative entropy generation of the slab system agree well with entire thermodynamics analysis.

Key words: radiative entropy transfer equation, radiative entropy generation, discrete-ordinates method, semitransparent medium, graded index

中图分类号:

TK124

刘林华. 半透明梯度折射率介质内辐射熵传递方程及其数值模拟[J]. 计算物理, 2009, 26(2): 267-274.

LIU Linhua. Radiative Entropy Transfer Equation and Numerical Computation of Radiative Entropy Generation in Semitransparent Graded Index Medium[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 26(2): 267-274.

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