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Fin Temperature CDF Tool

Calculation of Fin Temperature for Adiabatic Tip and Infinite Fins

The following CDF tool calculates the normalized fin temperature (θ(x) / θbase) for two cases:

  • Case 1: Adiabatic fin tip
  • Case 2: Infinitely long fin

In both cases, the cross sectional area of the fin is assumed to be constant.

We use the conventional definition of the fin eigenvalue m:

m = \sqrt{\frac{hP}{kA_c}}


  • h is the convective heat transfer coefficient
  • P is the fin perimeter
  • k is the fin’s thermal conductivity
  • Ac is the fin’s cross-sectional area

Graphical CDF Tool

The CDF tool follows. Note that the distance from the fin base is normalized by the fin length (i.e., x in the formulas below represents the dimensional distance from the base divided by the fin length L).

Created on , Last modified on, a resource for nanoscience and nanotechnology, is supported by the National Science Foundation and other funding agencies. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.