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首页> 外文学位 >Numerical modeling and analysis of heat transfer in semitransparent media with combined radiation and conduction.
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Numerical modeling and analysis of heat transfer in semitransparent media with combined radiation and conduction.

机译：辐射与传导相结合的半透明介质传热的数值模拟与分析。

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摘要

The governing equation of heat transfer in semitransparent media by coupled conduction and radiation is a very complicated integro-differential equation. This equation is a function of geometry (three variables), wavelength, and direction (two variables). It is a highly nonlinear equation. It becomes more complex if the thermal and radiative properties are temperature dependent. Most difficulties encountered while solving these problems are how to handle the complex integro-differential equation and complex geometries. Except for very special situations, numerical methods have to be used to solve problems involving radiative heat transfer, especially for semitransparent media with coupled radiation and conduction.;Many numerical methods have been used to analyze combined-mode heat transfer in participating media. After reviewing state-of-the-art methods and analyzing the attributes of the combined-mode heat transfer governing equations, a new methodology is presented in this dissertation. This methodology is applied to expedite the efficiency of finite element calculations. This methodology seeks to effectively handle the topics of efficiency, accuracy, and compatibility. By using the finite element method and the proposed Effective Optical Depth (EOD), it is easy to simulate complex geometries and other complexities with reasonable accuracy and high efficiency. The incorporation of the EOD makes the computing time decrease greatly with little sacrifice of accuracy under certain conditions. Furthermore, this methodology can be extended to multi-dimensional problems. A computational code is developed based on this methodology, and a one-dimensional plain parallel plates benchmark problem is used to demonstrate the validity of the code. The results of the code show great agreement with that obtained by other numerical methods published by other investigators. After the verification of the code, several parametric studies were conducted. The results of these studies verify that the EOD approach offers solutions with reasonable accuracy and high efficiency.;The main contribution of this research is the development of a methodology for the numerical analysis of heat transfer in semitransparent media by employing an effective optical depth approximation and incorporating the EOD into a FEM formulation capable of treating integro-differential equations efficiently and accurately.
机译：半透明介质中传导和辐射耦合的传热控制方程是一个非常复杂的积分微分方程。该方程是几何形状（三个变量），波长和方向（两个变量）的函数。这是一个高度非线性的方程。如果热和辐射特性与温度有关，它将变得更加复杂。解决这些问题时遇到的最大困难是如何处理复杂的积分微分方程和复杂的几何形状。除了非常特殊的情况外，还必须使用数值方法来解决涉及辐射传热的问题，特别是对于具有辐射和传导耦合的半透明介质。;许多数值方法已用于分析参与介质中的复合模式传热。在回顾了最新方法并分析了组合模式传热控制方程的属性后，本文提出了一种新的方法。应用此方法可加快有限元计算的效率。该方法论旨在有效地处理效率，准确性和兼容性的主题。通过使用有限元方法和建议的有效光学深度（EOD），​​可以轻松以合理的精度和高效率模拟复杂的几何形状和其他复杂性。 EOD的结合使计算时间大大减少，在某些条件下几乎没有牺牲准确性。此外，该方法可以扩展到多维问题。基于该方法开发了计算代码，并使用一维平面平行板基准问题来证明该代码的有效性。该代码的结果与其他研究者通过其他数值方法获得的结果非常一致。验证代码后，进行了一些参数研究。这些研究的结果证明了EOD方法提供了具有合理准确性和高效率的解决方案。这项研究的主要贡献是，通过采用有效的光学深度近似方法，开发了一种对半透明介质中传热进行数值分析的方法。将EOD纳入能够有效，准确地处理积分微分方程的FEM公式中。

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  • 作者

    Hu, Zirong.;

  • 作者单位

    Texas Tech University.;

  • 授予单位 Texas Tech University.;
  • 学科 Engineering Mechanical.;Mathematics.;Chemistry Radiation.
  • 学位 Ph.D.
  • 年度 1999
  • 页码 139 p.
  • 总页数 139
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

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