Thermodynamic optimization of tree-shaped flow geometries

• Published in: International journal of heat and mass transfer Vol. 49; no. 9; pp. 1619 - 1630
• Main Authors: Zimparov, V.D., da Silva, A.K., Bejan, A.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.05.2006; Elsevier
• Subjects: Applied sciences; Constructal theory; Devices using thermal energy; Energy; Energy. Thermal use of fuels; Entropy generation minimization; Exact sciences and technology; Heat exchangers (included heat transformers, condensers, cooling towers); Thermodynamic optimization; Tree-shaped flow; Thermodynamic optimization; Tree-shaped flow; Entropy generation minimization; Constructal theory; Y shape; Thermodynamics; Constructive theory; Pipe flow; Heat exchanger; Entropy; T shape; Optimization; Heat transfer; Optimal design
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/j.ijheatmasstransfer.2005.11.016

In this paper we optimize the performance of several classes of simple flow systems consisting of T- and Y-shaped assemblies of ducts, channels and streams. In each case, the objective is to identify the geometric configuration that maximizes performance subject to several global constraints. Maximum thermodynamic performance is achieved by minimization of the entropy generated in the assemblies. The boundary conditions are fixed heat flow per unit length and uniform and constant heat flux. The flow is assumed laminar and fully developed. Every geometrical detail of the optimized structure is deduced from the constructal law. Performance evaluation criterion is proposed for evaluation and comparison of the effectiveness of different tree-shaped design heat exchangers. This criterion takes into account and compare the entropy generated in the system with heat transfer performance achieved.