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Optimization principles for convective heat transfer
Authors:Qun Chen  Moran Wang  Ning Pan  Zeng-Yuan Guo
Affiliation:aDepartment of Engineering Mechanics, Tsinghua University, Beijing 100084, China;bDivision of Earth and Environmental Science, Los Alamos National Laboratory, P.O. Box 1663, Mail Stop T003, Los Alamos, NM 87545, USA;cDepartment of Biological System Engineering, University of California, Davis, CA 95616, USA
Abstract:Optimization for convective heat transfer plays a significant role in energy saving and high-efficiency utilizing. We compared two optimization principles for convective heat transfer, the minimum entropy generation principle and the entransy dissipation extremum principle, and analyzed their physical implications and applicability. We derived the optimization equation for each optimization principle. The theoretical analysis indicates that both principles can be used to optimize convective heat-transfer process, subject to different objectives of optimization. The minimum entropy generation principle, originally derived from the heat engine cycle process, optimizes the convective heat-transfer process with minimum usable energy dissipation focusing on the heat–work conversion. The entransy dissipation extremum principle however, originally for pure heat conduction process, optimizes the heat-transfer process with minimum heat-transfer ability dissipation, and therefore is more suitable for optimization of the processes not involving heat–work conversion. To validate the theoretical results, we simulated the convective heat-transfer process in a two-dimensional foursquare cavity with a uniform heat source and different temperature boundaries. Under the same constraints, the results indicate that the minimum entropy production principle leads to the highest heat–work conversion while the entransy dissipation extremum principle yields the maximum convective heat-transfer efficiency.
Keywords:Convective heat transfer  Entropy generation  Entransy dissipation  Optimization principle
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