Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division September 28, 2000; revision received April 16, 2001.

The author in his Introduction gives the reasons why one should consider the two-dimensional analysis and non-insulated tip. Briefly, he states the “mathematics in the one-dimensional solution are not difficult, because of large heat transfer coefficients, the tip should no be considered insulated, and the two-dimensional solution is more difficult.” However, the following discussion will show that the above are rather superficial statements without any scientific basis. The dimensionless variables employed by the author are not appropriate, this leads to n confusing results.

Given the fin geometry r1,r2, and L, the parameters k,h,he, and the temperatures Tw,T∞...
M. N.
, and
C. L. C.
, “
Optimization of Annular Fins With Thermal Parameters by Invariant Imbedding
ASME J. Heat Transfer
, pp.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, Oxford at the Clarendon Press, London, p. 222.
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