Optimization of volume to point conduction problem based on a novel thermal conductivity discretization algorithm

Wenjing Du; Peili Wang; Lipeng Song; Lin Cheng

doi:10.1016/j.cjche.2015.05.010

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Optimization of volume to point conduction problem based on a novel thermal conductivity discretization algorithm

过程系统工程与过程安全 | Updated：2026-01-06

- Optimization of volume to point conduction problem based on a novel thermal conductivity discretization algorithm
- Optimization of volume to point conduction problem based on a novel thermal conductivity discretization algorithm
- 中国化学工程学报（英文版） 2015年23卷第7期页码：1161-1168
- Affiliations：
  
  2 Department of Energy and Power Engineering, Shandong University,Jinan,China,250061
- Author bio：
- Funds：
- DOI：10.1016/j.cjche.2015.05.010
  中图分类号：
- 纸质出版：2015
- Accepted：
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Wenjing Du, Peili Wang, Lipeng Song, 等. Optimization of volume to point conduction problem based on a novel thermal conductivity discretization algorithm[J]. 中国化学工程学报（英文版）, 2015,23(7):1161-1168.

Wenjing Du, Peili Wang, Lipeng Song, Lin Cheng. Optimization of volume to point conduction problem based on a novel thermal conductivity discretization algorithm[J]. Chin.J.Chem.Eng., 2015, 23(7): 1161-1168.
Wenjing Du, Peili Wang, Lipeng Song, 等. Optimization of volume to point conduction problem based on a novel thermal conductivity discretization algorithm[J]. 中国化学工程学报（英文版）, 2015,23(7):1161-1168. DOI： 10.1016/j.cjche.2015.05.010.

Wenjing Du, Peili Wang, Lipeng Song, Lin Cheng. Optimization of volume to point conduction problem based on a novel thermal conductivity discretization algorithm[J]. Chin.J.Chem.Eng., 2015, 23(7): 1161-1168. DOI： 10.1016/j.cjche.2015.05.010.

摘要

Abstract

A conduction heat transfer process is enhanced by filling prescribed quantity and optimized-shaped high thermal conductivity materials to the substrate. Numerical simulations and analyses are performed on a volume to point conduction problem based on the principle of minimum entropy generation. In the optimization

the arrangement of high thermal conductivity materials is variable

the quantity of high thermal-conductivity material is constrained

and the objective is to obtain the maximum heat conduction rate as the entropy is the minimum. A novel algorithm of thermal conductivity discretization is proposed based on large quantity of calculations. Compared with other algorithms in literature

the average temperature in the substrate by the new algorithm is lower

while the highest temperature in the substrate is in a reasonable range. Thus the new algorithm is feasible. The optimization of volume to point heat conduction is carried out in a rectangular model with radiation boundary condition and constant surface temperature boundary condition. The results demonstrate that the algorithm of thermal conductivity discretization is applicable for volume to point heat conduction problems.

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