Inverted fins for cooling of a non-uniformly heated domain
This paper shows that the peak temperature of a nonuniformly heated region can be decreased by embedding highconductivity tree-shaped inserts which is in contact with a heat sink from its stem. The volume fraction of the high-conductivity material is fixed, and so is the volume of the solid regi...
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Yildiz Technical University
2015-01-01
|
Series: | Journal of Thermal Engineering |
Subjects: | |
Online Access: | http://eds.yildiz.edu.tr/ArticleContent/Journal/journal-of-thermal-engineering/Volumes/2015/Issues/January-1/JTEN-2015-1-1.516.pdf |
_version_ | 1797910971388264448 |
---|---|
author | Erdal Çetkin |
author_facet | Erdal Çetkin |
author_sort | Erdal Çetkin |
collection | DOAJ |
description | This paper shows that the peak temperature of a nonuniformly
heated region can be decreased by embedding highconductivity
tree-shaped inserts which is in contact with a heat
sink from its stem. The volume fraction of the high-conductivity
material is fixed, and so is the volume of the solid region. The
length scale of the solid domain is L. Inside there is a cubeshaped
region with length scale of 0.1L and heat production 100
times greater than the rest of the domain. The location of this
hot spot was varied to uncover how its location affects the peak
temperature and the design of inverted fins, i.e. highconductivity
tree-shaped inserts. The volume fraction of the
high-conductivity tree was varied for number of bifurcation
levels of 0, 1 and 2. This showed that increasing the number of
the bifurcation levels decreases the peak temperature when the
volume fraction decreases. The optimal diameter ratios and
optimal bifurcation angles at the each junction level are also
documented. Y-shaped trees promise smaller peak temperatures
than T-shaped trees. The location of the vascular tree in the z
direction also affects the peak temperature when the heat
generation is non-uniform. In addition, the peak temperature is
minimum when z = 0.65L even though the hot spot is located on
z = 0.75L |
first_indexed | 2024-04-10T11:33:00Z |
format | Article |
id | doaj.art-52ab37cf0e724dfb853422bffcc6b411 |
institution | Directory Open Access Journal |
issn | 2148-7847 2148-7847 |
language | English |
last_indexed | 2024-04-10T11:33:00Z |
publishDate | 2015-01-01 |
publisher | Yildiz Technical University |
record_format | Article |
series | Journal of Thermal Engineering |
spelling | doaj.art-52ab37cf0e724dfb853422bffcc6b4112023-02-15T16:17:58ZengYildiz Technical UniversityJournal of Thermal Engineering2148-78472148-78472015-01-011119Inverted fins for cooling of a non-uniformly heated domainErdal Çetkin 0Izmir Institute of Technology, Department of Mechanical Engineering Urla, Izmir, TurkeyThis paper shows that the peak temperature of a nonuniformly heated region can be decreased by embedding highconductivity tree-shaped inserts which is in contact with a heat sink from its stem. The volume fraction of the high-conductivity material is fixed, and so is the volume of the solid region. The length scale of the solid domain is L. Inside there is a cubeshaped region with length scale of 0.1L and heat production 100 times greater than the rest of the domain. The location of this hot spot was varied to uncover how its location affects the peak temperature and the design of inverted fins, i.e. highconductivity tree-shaped inserts. The volume fraction of the high-conductivity tree was varied for number of bifurcation levels of 0, 1 and 2. This showed that increasing the number of the bifurcation levels decreases the peak temperature when the volume fraction decreases. The optimal diameter ratios and optimal bifurcation angles at the each junction level are also documented. Y-shaped trees promise smaller peak temperatures than T-shaped trees. The location of the vascular tree in the z direction also affects the peak temperature when the heat generation is non-uniform. In addition, the peak temperature is minimum when z = 0.65L even though the hot spot is located on z = 0.75Lhttp://eds.yildiz.edu.tr/ArticleContent/Journal/journal-of-thermal-engineering/Volumes/2015/Issues/January-1/JTEN-2015-1-1.516.pdfConstructalInverted finsVascularNon-uniform heatingConductive coolingTree-shaped |
spellingShingle | Erdal Çetkin Inverted fins for cooling of a non-uniformly heated domain Journal of Thermal Engineering Constructal Inverted fins Vascular Non-uniform heating Conductive cooling Tree-shaped |
title | Inverted fins for cooling of a non-uniformly heated domain |
title_full | Inverted fins for cooling of a non-uniformly heated domain |
title_fullStr | Inverted fins for cooling of a non-uniformly heated domain |
title_full_unstemmed | Inverted fins for cooling of a non-uniformly heated domain |
title_short | Inverted fins for cooling of a non-uniformly heated domain |
title_sort | inverted fins for cooling of a non uniformly heated domain |
topic | Constructal Inverted fins Vascular Non-uniform heating Conductive cooling Tree-shaped |
url | http://eds.yildiz.edu.tr/ArticleContent/Journal/journal-of-thermal-engineering/Volumes/2015/Issues/January-1/JTEN-2015-1-1.516.pdf |
work_keys_str_mv | AT erdalcetkin invertedfinsforcoolingofanonuniformlyheateddomain |