Optimal design of fibers subject to steady heat conduction

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Abstract

Steady, 2D heat conduction is studied for a double-periodic lattice of homogeneous fibers. Sink-source approximation models the thermal contact zones. The rest of the fiber surface is adiabatic. Optimal shape is found by the method of boundary-value problems of holomorphic functions. The cross-sectional area is a criterion of optimization, microscale heat flow through the fiber and temperature at a fiducial point within the cell is constraints.

Original languageEnglish
Pages (from-to)319-324
Number of pages6
JournalHeat and Mass Transfer/Waerme- und Stoffuebertragung
Volume43
Issue number4
DOIs
Publication statusPublished - Feb 2007

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ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physical and Theoretical Chemistry
  • Fluid Flow and Transfer Processes

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