JP Journal of Heat and Mass Transfer
Volume 20, Issue 1, Pages 67 - 84
(June 2020) http://dx.doi.org/10.17654/HM020010067 |
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COMPARISONS OF FOUR ANALYTIC METHODS FOR ANALYZING A RECTANGULAR PROFILE ANNULAR FIN
Hyung Suk Kang
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Abstract: Four analytic methods are used to analyze a rectangular profile annular fin. For this annular fin with constant fin base temperature and non-insulated tip, the fin base thickness and fin height as well as fin length are variable. The relative error of heat loss between the 2-D general analytic method and 2-D new analytic approach, as well as the relative error between the 2-D general analytic method and 1-D general analytic method are investigated as a function of the fin height, fin length, and convection characteristic number. The relative error of heat loss between the 1-D general analytic method and 1-D approximate analytic method is presented as a function of the fin length and the convection characteristic number. One of the results shows that the error of heat loss from the 2-D new analytic approach relative to heat loss from the 2-D general analytic method decreases as the fin length and/or the convection characteristic number decrease, while the error of heat loss decreases as the fin height increases. |
Keywords and phrases: analytic methods, convection characteristic number, relative error of heat loss, fin base thickness, fin radius.
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