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

Author(s) : XIA Y., JACOBI A. M.

Type of article: Article

Summary

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 eigen value 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.

Details

  • Original title: An exact solution to steady heat conduction in a two-dimensional slab on a one-dimensional fin: application to frosted heat exchangers.
  • Record ID : 2005-0098
  • Languages: English
  • Source: International Journal of Heat and Mass Transfer - vol. 47 - n. 14-16
  • Publication date: 2004/07

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