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首页> 外文会议>International Symposium on Temperature and Thermal Measurements in Industry and Science; 20040622-25; Cavtat-Dubrovnik(HR) >'THICKNESS EFFECT CURVE' IN ASPECT OF ANALYTICAL ANALYSIS AND RADIATIVE TRANSFER EQUATION
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'THICKNESS EFFECT CURVE' IN ASPECT OF ANALYTICAL ANALYSIS AND RADIATIVE TRANSFER EQUATION

机译：分析和辐射转移方程方面的“厚度效应曲线”

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摘要

The present paper is devoted to an analytical and numerical analysis of the problem of 'thickness effect curve' in semitransparent media, where the simultaneous radiation and conduction heat transfer takes place. To do this a method of the thermal conductivity thickness dependence k(z) division (for a sample thickness l) into three parts of different width (two external parts of them are of the same width) has been proposed. The additional novelty is to present the limited value of the sample thickness l_(gr) which corresponds to an initial region of the thermal conductivity thickness dependence k(l) as a function of absorption coefficient k and sample thickness l. Thanks to that a good accuracy of approximation of the whole characteristics k(l), I.e. also within the first region 0 < l < 2 l_(gr), can be obtained. To validate the proposed method the results of analytical solution have been compared with the exact solution of the 1 -D coupled radiation and conduction heat transfer model in an emitting and absorbing medium.
机译：本文致力于对同时发生辐射和传导热传递的半透明介质中“厚度效应曲线”问题的分析和数值分析。为此，已经提出了将导热率厚度依赖性k（z）划分（对于样品厚度l）分成三个不同宽度的部分（它们的两个外部部分具有相同的宽度）的方法。另一新颖之处在于提出了样品厚度的限制值l_（gr），其与热导率厚度依赖性k（l）的初始区域相对应，该初始区域是吸收系数k和样品厚度l的函数。由于该特性，整个特性k（l）的近似值具有良好的精确度，即在第一区域0 ＜1 ＜2l_（gr）内也可以获得。为了验证所提出的方法，将分析解决方案的结果与发射和吸收介质中一维耦合辐射和传导热传递模型的精确解进行了比较。

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