Entransy expression of the second law of thermodynamics and its application to optimization in heat transfer process

Entransy expression of the second law of thermodynamics and its application to optimization in heat transfer process
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热力学第二定律的火积表达式及其在传热过程优化中的应用

DOI:
10.1016/j.ijheatmasstransfer.2011.02.041
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发表时间:
2011-06
影响因子:
5.2
通讯作者:
Nakayama A
Nakayama A
中科院分区:
工程技术2区
文献类型:
--
作者:
Liu W;Liu Z C;Jia H;Fan A W;Nakayama A

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在热力学理论的基础上,引入了传热过程中以能量为单位的能量方程,该方程不仅描述了能量的变化,而且定义了能量的消耗率。根据传热过程中能量的变化规律和能量消耗速率对传热过程不可逆性的影响,可以发现能量是一个状态变量,由此给出了热力学第二定律的新表达式。然后将能量消耗率和功率消耗率分别作为优化目标和约束条件,利用拉格朗日条件极值原理推导出优化对流换热流场的动量方程、约束方程和边界条件,并将其应用于密闭腔内对流换热与能量方程的耦合模拟。通过数值模拟,得到了不同约束条件下的优化流场,表明最小熵耗原理比最小熵产原理更适用于优化对流换热过程。
Based on theories of thermodynamics, the energy equation in terms of entransy in heat transfer process is introduced, which not only describes the change of entransy, but also defines the entransy consumption rate. According to the regularity of entransy change in heat transfer process and the effect of entransy consumption rate on the irreversibility of heat transfer process, it can be found that entransy is a state variable, from which a new expression for the second law of thermodynamics is presented. Then by setting entransy consumption rate and power consumption rate as optimization objective and constraint condition for each other, the Lagrange conditional extremum principle is used to deduce momentum equation, constraint equation and boundary condition for optimizing flow field of convective heat transfer, which are applied to simulate convective heat transfer coupling with energy equation in an enclosed cavity. Through the numerical simulation, the optimized flow field under different constraint conditions is obtained, which shows that the principle of minimum entransy consumption is more suitable than the principle of minimum entropy generation for optimizing convective heat transfer process.
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