Full Content is available to subscribers

Subscribe/Learn More  >

Heat Transfer in an Annular Fin With Coordinate Dependent Thermal Conductivity

[+] Author Affiliations
A. Aziz

Gonzaga University

Paper No. IMECE2005-79196, pp. 411-416; 6 pages
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Heat Transfer, Part B
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 0-7918-4222-3 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME


Some new exact analytical solutions are reported for heat transfer in an annular fin of rectangular profile with coordinate dependent thermal conductivity. A power law type of dependence on radial coordinate is assumed. The analysis assumes a constant base temperature and an insulated tip. Solutions are developed for the temperature distribution, the heat transfer rate, the fin efficiency, and the fin effectiveness. These solutions appear in terms of Airy wave functions or modified Bessel functions or hyperbolic functions or power functions depending on the exponent of the power law variation. Numerical results are presented to illustrate the effect of coordinate dependent thermal conductivity on the thermal performance of the fin. Comparison of exact and results based on the average thermal conductivity model reveals that the latter is in error by as much as 56 percent in a specific situation. The fin model used here is applicable to some contemporary engineering applications where fins made of heterogeneous materials are used. The analysis can be extended to other profile shapes and different thermal boundary conditions.

Copyright © 2005 by ASME



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In