Constructal entransy dissipation rate minimization for heat conduction based on a tapered elementReport as inadecuate




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Chinese Science Bulletin

, Volume 56, Issue 22, pp 2400–2410

First Online: 12 July 2011Received: 23 January 2011Accepted: 10 May 2011

Abstract

Based on constructal theory, the structure of a tapered element and high-conductivity link is optimized by taking the minimization of the entransy dissipation rate as the optimization objective. The results show that the mean temperature difference of the heat transfer cannot always decrease when the internal complexity of the control-volume increases. There exists an optimal constructal order leading to the minimum mean temperature difference for heat transfer. The thermal current density in high-conductivity links with variable shapes does not linearly depend on the length. Therefore, the optimized constructs based on the minimization of the entransy dissipation rate are different from those based on the minimization of the maximum temperature difference. Compared with the construct based on the minimization of the maximum temperature difference, the construct based on the minimization of the entransy dissipation rate can reduce the mean temperature difference, and improve the heat transfer performance significantly. Because entransy describes the heat transfer ability more suitably, various constructal problems in heat conduction may be addressed more effectively using this basis.

Keywordsconstructal theory entransy dissipation rate volume-to-point heat conduction generalized thermodynamic optimization This article is published with open access at Springerlink.com

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Author: QingHua Xiao - LinGen Chen - FengRui Sun

Source: https://link.springer.com/article/10.1007/s11434-011-4554-4







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