An exact solution to steady heat conduction in a two-dimensional slab on a one-dimensional fin: Application to frosted heat exchangers

Y. Xia, A. M. Jacobi

Research output: Contribution to journalArticlepeer-review

Abstract

The thermal conditions for frost forming on a metallic fin are considered, and a numerical solution to the two-dimensional conduction problem is used to identify the parametric space for which the problem reduces to a two-dimensional slab on a one-dimensional fin. An analytical solution gives rise to an eigenvalue problem that requires an unusual scalar product definition. A one-term approximation to the new analytical solution provides fin efficiency calculations useful for a range of conditions, including most frosted-coated metallic fins. The series solution and the one-term approximation are of general applicability to low-conductivity coatings on high-conductivity fins.

Original languageEnglish (US)
Pages (from-to)3317-3326
Number of pages10
JournalInternational Journal of Heat and Mass Transfer
Volume47
Issue number14-16
DOIs
StatePublished - Jul 2004

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

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