An optimum spacing problem for five chips on a horizontal substrate in a vertically insulated enclosure

Yang Liu, N. Phan-Thien, Chun Wah Leung, Tat Leung Chan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

18 Citations (Scopus)


The optimum spacing problem for five heated chips rested on a conductive substrate in a vertically insulated enclosure filled with air is solved by an operator-splitting pseudo-time-stepping finite element method, which automatically satisfies the continuity of the interfacial temperature and heat flux. It is found that the conventional equi-spaced arrangement is not an optimum option. An optimum thermal performance can be obtained when the center-to-center distances between the chips follow a geometric series. The maximum relative temperature drop in the optimum configuration can be as much as 20% of the equi-spaced arrangement.
Original languageEnglish
Pages (from-to)310-317
Number of pages8
JournalComputational Mechanics
Issue number4
Publication statusPublished - 1 Jan 1999

ASJC Scopus subject areas

  • Ocean Engineering
  • Mechanical Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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