Entransy dissipation minimization for liquid-solid phase change processes
Entransy dissipation minimization for liquid-solid phase change processes
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DOI：
10.1007/s11431-009-0382-z
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发表时间：
2010-03
期刊：
影响因子：
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通讯作者：
Shaojun Xia;Lingen Chen;F. Sun
中科院分区：
文献类型：
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作者：
Shaojun Xia;Lingen Chen;F. Sun
本文研究了简单一维板坯的液固相变过程。以能量耗散最小化为优化目标，利用最优控制理论，导出了固定冻结或融化时间条件下的最优储层外部温度曲线。最小耗散最优换热策略对应的耗散是恒温运行对应的耗散的8/9，且与系统各参数无关。通过数值算例，将熵耗最小化的结果与最小熵产和恒温运行的最优换热策略的结果进行了比较。所得结果可为实际液固相变过程中最佳冷却或加热策略的选择提供一定的理论指导。
The liquid-solid phase change process of a simple one-dimensional slab is studied in this paper. By taking entransy dissipation minimization as optimization objective, the optimal external reservoir temperature profiles are derived by using optimal control theory under the condition of a fixed freezing or melting time. The entransy dissipation corresponding to the optimal heat exchange strategies of minimum entransy dissipation is 8/9 of that corresponding to constant reservoir temperature operations, which is independent of all system parameters. The obtained results for entransy dissipation minimization are also compared with those obtained for the optimal heat exchange strategies of minimum entropy generation and constant reservoir temperature operations by numerical examples. The obtained results can provide some theoretical guidelines for the choice of optimal cooling or heating strategy in practical liquid-solid phase change processes.