This paper analyzes steady-state heat conduction in a triangular-profile fin using a relatively new, exact series method of solution known as the differential transform method. This method converges with only six terms or less for the cases considered. Its advantage is that, unlike many popular methods, it is an exact method and yet it does not require the use of Bessel or other special functions.
Application of Differential Transform Method to Heat Conduction in Tapered Fins
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division January 12, 2001; revision received August 15, 2001. Associate Editor: G. S. Dulikravich.
Bert , C. W. (August 15, 2001). "Application of Differential Transform Method to Heat Conduction in Tapered Fins ." ASME. J. Heat Transfer. February 2002; 124(1): 208–209. https://doi.org/10.1115/1.1423316
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