Optimum interfaces that maximize the heat transfer rate between two conforming conductive media

Marios M. Fyrillas, Theodoros Leontiou, Konstantinos V. Kostas

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We consider conjugate heat transfer between two conductive and conforming media, with isothermal boundary conditions on the exposed surfaces, and continuity of the temperature and the heat flux along their interface. We address the inverse problem of finding the shape of the interface such that the heat transfer rate is maximized. We formulate three isoperimetric, shape optimization problems associated with three different applications: i) the optimal shape of corrugations (surface “roughness”), ii) the optimal shape of high conductivity inserts (inverted fins) and iii) the optimal shape of high conductivity fins. As expected, the optimal geometries have the shape of an extension of the high conductivity material into the low conductivity material. For the case of corrugations and inserts, the optimum shapes are triangular for small perimeters; for large perimeters and thick slabs they are elliptical and tend to cover the whole width/period of the domain. Optimum fins are characterized by long, shallow valleys and deep, narrow protrusions of the high conductivity material. For the parameters considered in this study, the width of the protrusion is approximately one quarter of the period.

Original languageEnglish
Pages (from-to)381-389
Number of pages9
JournalInternational Journal of Thermal Sciences
Volume121
DOIs
Publication statusPublished - Nov 1 2017

Fingerprint

heat transfer
Heat transfer
fins
conductivity
Die casting inserts
Shape optimization
inserts
Inverse problems
Heat flux
Surface roughness
Boundary conditions
shape optimization
low conductivity
Geometry
continuity
valleys
heat flux
surface roughness
slabs
boundary conditions

Keywords

  • Conjugate heat transfer
  • Fins
  • High conductivity inserts
  • Inverse design
  • Isoperimetric shape optimization

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Engineering(all)

Cite this

Optimum interfaces that maximize the heat transfer rate between two conforming conductive media. / Fyrillas, Marios M.; Leontiou, Theodoros; Kostas, Konstantinos V.

In: International Journal of Thermal Sciences, Vol. 121, 01.11.2017, p. 381-389.

Research output: Contribution to journalArticle

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