Constructal entransy dissipation rate minimization of a disc

Disc cooling problem is optimized by taking entransy dissipation rate minimization as optimization objective. The non-dimensional mean temperature difference of the disc cooling model with radial high conducting fins inserted is deduced. The effects of the fin geometry, the fin aspect ratio, the rat...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2011-01, Vol.54 (1), p.210-216
Main Authors: Chen, Lingen, Wei, Shuhuan, Sun, Fengrui
Format: Article
Language:English
Subjects:
Applied sciences
Conduction
Constructal
Design. Technologies. Operation analysis. Testing
Devices using thermal energy
Disc cooling
Discs
Dissipation
Electronics
Energy
Energy. Thermal use of fuels
Entransy
Entransy dissipation rate
Exact sciences and technology
Fins
Generalized thermodynamic optimization
Heat exchangers (included heat transformers, condensers, cooling towers)
Heat transfer
Heat transmission
Integrated circuits
Minimization
Optimization
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
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Summary:Disc cooling problem is optimized by taking entransy dissipation rate minimization as optimization objective. The non-dimensional mean temperature difference of the disc cooling model with radial high conducting fins inserted is deduced. The effects of the fin geometry, the fin aspect ratio, the ratio between the high conductivity and low conductivity, the relative amount of high conductivity material and the number of high conducting fins on the entransy dissipation rate of disc cooling are analyzed. The optimization results show that the high conducting fin should be extended to the centre of circle as the heat transfer effect of the high conducting fins is improved, and there exists an optimal fin aspect ratio corresponding to minimum entransy dissipation rate for different high conducting effects of the fin, and the number of high conducting fins has a slight effect on the entransy dissipation rate. Comparison with those for maximum temperature difference minimization shows that the constructs based on entransy dissipation rate minimization are different from those based on maximum temperature difference minimization, but the optimal constructal shape changing potentials of the number of fins and the relative amount of high conductivity material are similar.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2010.09.050