Exact Heat-Transfer Solutions to Radial Fins of General Profile


Turkyilmazoglu M.

JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, vol.30, no.1, pp.89-93, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.2514/1.t4555
  • Journal Name: JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.89-93
  • Hacettepe University Affiliated: Yes

Abstract

In this paper, the heating process in fin problems of engineering interest is revisited with a target to work out analytical solutions representing the thermal diffusion in a variety of radial fin shapes. The difficulty arisen due to the strong nonlinearity when the physical properties are temperature-dependent and given by power laws is tackled, and explicit expressions for the fin base heat-transfer rate, fin tip temperature, and fin efficiency are obtained. Taking into account these three effects, the optimal radial fin shape is decided, which is of most physical interest.