Constructal optimization for an organic fluid shell-and-tube condenser based on entransy theory

doi:10.11949/0438-1157.20200492

Abstract

Abstract:

A complex function composed of linear weighted sum of the entransy dissipation rate (EDR) caused by heat transfer and total pumping power is established in this paper. Under the conditions of fixed total condensation rate and heat transfer area, constructal optimization of a shell-and-tube condenser (STC) with organic fluid is carried out by taking minimum complex function as optimization objective. The minimum complex function and the optimal external diameter of the condensation tube are obtained. The results show that compared with the initial design construct, the optimal construct of the STC increases the total EDR caused by heat transfer by 10.70%, and reduces the total pumping power and complex function by 54.94% and 6.46%, respectively. This illustrates that the complex function sacrifices a certain heat transfer performance, and improves the fluid flow performance evidently, which leads to the overall performance improvement of the STC. The twice minimization of the complex function can be realized by choosing an appropriate number of the condensation tubes. New guidelines for the optimal structure designs of the STCs are provided by introducing entransy theory into constructal optimizations of the organic fluid STCs, and this method can be further extended to the optimal designs of the cycle systems with organic fluids.

Key words: constructal theory, shell-and-tube condenser, phase change, heat transfer, flow, entransy dissipation, generalized thermodynamic optimization

摘要：

建立考虑传热耗散率和总泵功率的线性加权复合函数，在总冷凝率和总传热面积一定的条件下以复合函数最小为目标，对有机工质的管壳式冷凝器进行构形优化，得到最小复合函数和冷凝管最佳外径。结果表明：冷凝器最优构形与初始设计结构相比，总耗散率提高了10.70%，而总泵功率和复合函数分别降低了54.94%和6.46%。这说明复合函数牺牲了一定的传热性能，使得冷凝器流动性能显著提高，最终使得其综合性能得到提高。选择合适的冷凝管数目可实现复合函数二次最小化。将理论应用到有机工质管壳式冷凝器的构形优化中，为其结构优化设计提供了新的指导，这一方法可进一步推广到有机工质循环系统的优化设计中。

关键词: 构形理论, 管壳式冷凝器, 相变, 传热, 流动, 耗散, 广义热力学优化

CLC Number:

TK 124

Huijun FENG, Lingen CHEN, Zhixiang WU, Wei TANG, Junchao SHI. Constructal optimization for an organic fluid shell-and-tube condenser based on entransy theory[J]. CIESC Journal, 2020, 71(S2): 98-103.

冯辉君, 陈林根, 吴志祥, 唐威, 石俊朝. 基于理论的有机工质管壳式冷凝器构形优化[J]. 化工学报, 2020, 71(S2): 98-103.

Figures/Tables 5

Fig.1 Model and T-s diagram of shell-and-tube condenser

Fig.2 Characteristics of E˙?vh? and p?cversusdc,out

Fig.3 Effect of Tc,in on characteristic of FEPversusdc,out

Fig.4 Characteristics of FEP,m and dc,out,optversusm˙c

Fig.5 Characteristics of FEP,m and dc,out,optversusNc

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