Title: An exact solution to steady heat conduction in a two-dimensional slab on a one-dimensional fin: application to frosted heat exchangers
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.
Publication Year: 2004
Publication Date: 2004-03-23
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 44
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