Variation of parameters method for optimizing annular fins with variable thermal properties
The aim of this study is to offer useful correlation equations to the designer for the optimum design of annular fins with thermal properties varying with temperature. In order to obtain the optimum size of the fins, the heat transfer from the fin must be calculated with the least assumptions possib...
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| Format: | Article |
| Language: | English |
| Published: |
Pamukkale University
2018-02-01
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| Series: | Pamukkale University Journal of Engineering Sciences |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/pub/pajes/issue/35876/400701 |
| Summary: | The aim of this study is to offer useful
correlation equations to the designer for the optimum design of annular fins
with thermal properties varying with temperature. In order to obtain the
optimum size of the fins, the heat transfer from the fin must be calculated
with the least assumptions possible. Therefore, the variation of the heat
transfer coefficient and thermal conductivity with the temperature are
considered in this study and a nonlinear fin equation is solved with the
variation of parameters method, which is quite new in the solution of nonlinear
heat transfer problems. Heat transfer rate from the fin to the environment is
calculated in terms of dimensionless problem parameters with the help of the
obtained temperature distribution. Fin geometries maximizing the heat transfer
rate are determined for the given problem parameters. These results, which can
be used for nucleate boiling, natural convection and forced convection heat
transfer modes, are offered to the designer with two identical correlation
equations. |
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| ISSN: | 1300-7009 2147-5881 |