Constructal design for cooling a disc-shaped area by conduction

This paper describes a hierarchical strategy to developing the optimal internal structure of a round heat-generating body cooled at its center with the help of optimally distributed inserts of high-conductivity material. The sequence begins with optimizing the geometry of the smallest heat generating entity - a sector-shaped elemental volume with the smallest dimension, and a single high-conductivity insert. Many such elements are assembled into disc-shaped constructs, or into sector-shaped constructs in which the elemental volumes are grouped into a formation shaped as a fan. When several sector-shaped constructs are assembled into a disc, they constitute a quasi-radial heat-flow structure in which each high-conductivity insert exhibits one branching. Every geometric detail of the optimized two-material conductive structures is determined based on principle - the minimization of global resistance subject to global constraints (total volume, total volume of high-conductivity material). The inserts of high-conductivity material form structures shape as trees. The global thermal resistance of each tree-shaped construct is reported. The minimization of global thermal resistance is the criterion for choosing between a design with radial inserts and one with branched inserts. © 2002 Elsevier Science Ltd. All rights reserved.

Full Text

Duke Authors

Cited Authors

  • Rocha, LAO; Lorente, S; Bejan, A

Published Date

  • 2002

Published In

Volume / Issue

  • 45 / 8

Start / End Page

  • 1643 - 1652

International Standard Serial Number (ISSN)

  • 0017-9310

Digital Object Identifier (DOI)

  • 10.1016/S0017-9310(01)00269-1

Citation Source

  • SciVal