• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International Journal of Heat and Mass Transfer >A finite element method for prediction of unknown boundary conditions in two-dimensional steady-state heat conduction problems
【24h】

A finite element method for prediction of unknown boundary conditions in two-dimensional steady-state heat conduction problems

机译：二维稳态导热问题未知边界条件的有限元预测方法

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

This paper presents a finite element method in predicting unknown boundary conditions of homogeneous and two-layered materials subjected to steady-state heat conduction. Firstly, a finite element formulation is introduced to solve a steady-state boundary inverse heat conduction problem of homogeneous material. Effects of bias error of temperature specified on interior nodes and locations of such nodes on accuracy of predicted temperature distribution are examined. Then, modified cubic spline is specified on material boundary to stabilize predicted temperature distribution. Cubic spline functions using different numbers of control points are used in examining their effects on accuracy of predicted temperature distribution and computing time when specifying no bias temperatures. Finally, the formulation with cubic spline function specification is employed in predicting unknown boundary conditions of two-layered materials with thermal conductivity ratio of 0.1, 1, and 10. Concept of coincident nodes is applied in handling physical condition characterized by thermal contact resistance and heat source strength at layer interface. Effect of bias error of temperatures specified on nodes within thicker layer is examined under three interface conditions. Cubic spline function with five control points can predict temperature distributions accurately for all interface conditions when specifying no bias temperatures. RMS errors vary linearly with bias errors for interface conditions with no heat source but are drastically affected by bias error when heat source exists at the interface.
机译：本文提出了一种有限元方法来预测均质和两层材料稳态热传导的未知边界条件。首先，引入有限元公式来解决均质材料的稳态边界逆导热问题。研究了内部节点上指定的温度偏差误差以及此类节点的位置对预测温度分布的准确性的影响。然后，在材料边界上指定修改后的三次样条以稳定预测的温度分布。当指定无偏差温度时，使用使用不同数量控制点的三次样条函数检查其对预测温度分布的准确性和计算时间的影响。最后，使用三次样条函数规范的公式来预测热导比为0.1、1和10的两层材料的未知边界条件。重合节点的概念应用于处理以热接触电阻和热为特征的物理条件层界面处的光源强度。在三个界面条件下检查了指定温度偏差对较厚层内节点的影响。没有指定偏置温度时，具有五个控制点的三次样条函数可以准确预测所有界面条件下的温度分布。对于没有热源的界面条件，RMS误差随偏置误差线性变化，但是当界面上存在热源时，RMS误差会受到偏置误差的极大影响。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号