Constructal entransy dissipation rate minimization for X-shaped vascular networks

作     者：FENG HuiJun CHEN LinGen XIE ZhiHui 

作者机构：Institute of Thermal Science and Power EngineeringWuhan Institute of TechnologyWuhan 430205China School of Mechanical&Electrical EngineeringWuhan Institute of TechnologyWuhan 430205China College of Power EngineeringNaval University of EngineeringWuhan 430033.China 

出 版 物：《Science China(Technological Sciences)》 (中国科学（技术科学英文版）)

年 卷 期：2019年第62卷第12期

页      面：2195-2203页

核心收录：

学科分类：080702[工学-热能工程] 08[工学] 0807[工学-动力工程及工程热物理] 

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.51506220,51579244) the Natural Science Foundation of Hubei Province(Grant No.2016CFB504) the Independent Project of Naval University of Engineering(Grant No.425317Q017) 

主　　题：constructal theory entransy theory X-shaped vascular networks generalized thermodynamic optimization 

摘      要：Combining with entransy theory, constructal designs of the X-shaped vascular networks(XSVNs) are implemented with fixed total tube volumes of the XSVNs. The entransy dissipation rates(EDRs) of the XSVNs are minimized, and the optimal constructs of the XSVNs are derived. Comparison of the optimal constructs of the XSVNs with two optimization objectives(EDR minimization and entropy generation rate(EGR) minimization) is conducted. It is found that when the dimensionless mass flow rate(DMFR) is small, the optimal diameter ratio of the elemental XSVN derived by EDR minimization is different from that derived by EGR minimization. For the multilevel XSVN, when the DMFR is 100, compared the XSVN with the corresponding H-shaped vascular network(HSVN), the dimensionless EDRs of the elemental, second and fourth order XSVNs are reduced by 26.39%, 15.34% and 9.81%, respectively. Compared with the entransy dissipation number(EDN) of the second order XSVN before angle optimization, the EDN after optimization is reduced by 26.15%, which illustrates that it is significant to conduct angle optimization of the XSVN. Entransy theory is applied into the constructal design of the vasculature with heat transfer and fluid flow in this paper, which provides new directions for the vasculature designs.