Geometry optimization of T-shaped cavities according to constructal theory

Bejan, 1997, Constructal-theory network of conducting paths for cooling a heat generating volume, Trans. ASME, J. Heat Transfer, 40, 799 Bejan, 2000 Bejan, 2001, Thermodynamic optimization of flow geometry in mechanical and civil engineering, J. Non-Equilib. Thermodyn., 26, 305, 10.1515/JNETDY.2001.022.1 R.N. Rosa, A.H. Reis, A.F. Miguel, Bejan’s constructal theory of shape and structure, University of Evora, Evora, 2004. Bejan, 2005 Bejan, 2005, Constructal design and thermodynamic optimization, Annu. Rev. Heat Transfer, 14, 511, 10.1615/AnnualRevHeatTransfer.v14.280 Bejan, 2006, Constructal theory of generation of configuration in nature and engineering, J. Appl. Phys., 100, 041301, 10.1063/1.2221896 Reis, 2006, Constructal theory: from engineering to physics, and how flow systems develop shape and structure, Trans. ASME Appl. Mech. Rev., 59, 269, 10.1115/1.2204075 Bejan, 2006, Constructing animal locomotion from new thermodynamics theory, Am. Sci., 94, 342, 10.1511/2006.60.1000 Bejan, 2007 Yu, 2008, Analysis of flow in fractal porous media, Trans. ASME Appl. Mech. Rev., 61, 050801, 10.1115/1.2955849 Bejan, 2008 Dan, 1998, Constructal tree networks for the time-dependent discharge of finite-size volume to one point, J. Appl. Phys., 84, 3042, 10.1063/1.368458 Almogbel, 1999, Conduction trees with spacings at the tips, Int. J. Heat Mass Transfer, 42, 3739, 10.1016/S0017-9310(99)00051-4 Neagu, 1999, Constructal-theory tree networks of ‘constant’ thermal resistance, J. Appl. Phys., 86, 1136, 10.1063/1.370855 Lorente, 2002, Tree-shaped flow structures design by minimizing path length, Int. J. Heat Mass Transfer, 45, 3299, 10.1016/S0017-9310(02)00051-0 Lorente, 2003, Optimization of tree-shaped flow distribution structures over a disc-shaped area, Int. J. Energy Res., 27, 715, 10.1002/er.907 Xu, 2006, The scaling laws of transport properties for fractal-like tree networks, J. Appl. Phys., 100, 104906, 10.1063/1.2392935 Xu, 2007, Optimization of heat conduction using combinatorial optimization algorithms, Int. J. Heat Mass Transfer, 50, 1675, 10.1016/j.ijheatmasstransfer.2006.10.037 Wu, 2007, Heat-conduction optimization based on constructal theory, Appl. Energy, 84, 39, 10.1016/j.apenergy.2006.04.006 Wu, 2007, On the “area to point” flow problem based on constructal theory, Energy Convers. Manage., 48, 101, 10.1016/j.enconman.2006.05.009 Zhou, 2007, Optimization of constructal volume-point conduction with variable cross-section conducting path, Energy Convers. Manage., 48, 106, 10.1016/j.enconman.2006.05.007 Chen, 2008, Constructal entransy dissipation minimization for volume-point heat conduction, J. Phys. D: Appl. Phys., 41, 195506, 10.1088/0022-3727/41/19/195506 Wei, 2009, The volume-point constructal optimization for discrete variable cross-section conducting path, Appl. Energy, 86, 1111, 10.1016/j.apenergy.2008.06.010 Chen, 2009, Constructal entransy dissipation minimization of an electromagnet, J. Appl. Phys., 105, 094906, 10.1063/1.3124451 Xie, 2009, Constructal optimization for geometry of cavity by taking entransy dissipation minimization as objective, Sci. China Ser. E: Tech. Sci., 52, 3504, 10.1007/s11431-009-0319-6 Xie, 2009, Constructal optimization on T-shaped cavity based on entransy dissipation minimization, Chin. Sci. Bull., 54, 4418, 10.1007/s11434-009-0507-6 Bejan, 2000, Convective trees of fluid channels for volumetric cooling, Int. J. Heat Mass Transfer, 43, 3105, 10.1016/S0017-9310(99)00353-1 Bejan, 2002, Thermodynamic optimization of geometry: T and Y-shaped constructs of fluid streams, Int. J. Thermal Sci., 949 Reis, 2006, Constructal theory of particle agglomeration and design of air-cleaning devices, J. Phys. D: Appl. Phys., 39, 2311, 10.1088/0022-3727/39/10/046 Bejan, 2000, Constructal theory of economics, Appl. Energy, 67, 37, 10.1016/S0306-2619(00)00023-4 Zhou, 2007, Optimization of constructal economics for volume to point transport, Appl. Energy, 84, 505, 10.1016/j.apenergy.2006.09.005 Wechsatol, 2001, Tree-shaped insulated designs for the uniform distribution of hot water over an area, Int. J. Heat Mass Transfer, 44, 3111, 10.1016/S0017-9310(00)00338-0 Arion, 2003, Constructal tree shaped networks for distribution of electrical power, Energy Convers. Manage., 44, 867, 10.1016/S0196-8904(02)00096-1 Azoumah, 2004, Constructal network for heat and mass transfer in a solid-gas reactive porous medium, Int. J. Heat Mass Transfer, 47, 2961, 10.1016/j.ijheatmasstransfer.2004.03.022 Azoumah, 2006, Constructal design combined with entropy generation minimization for solid-gas reactors, Int. J. Thermal Sci., 45, 716, 10.1016/j.ijthermalsci.2005.10.006 Azoumah, 2007, Optimal design of thermochemical reactors based on constructal approach, AIChE J., 53, 1257, 10.1002/aic.11152 Zhou, 2007, Constructal entropy generation minimization for heat and mass transfer in a solid-gas reactor based on triangular element, J. Phys. D: Appl. Phys., 40, 3545, 10.1088/0022-3727/40/11/044 Lorenzini, 2003, A Vapotron effect application for electronic equipment cooling, Trans. ASME J. Electron. Packaging, 125, 475, 10.1115/1.1615796 Biserni, 2004, Inverted fins: geometric optimization of the intrusion into a conducting wall, Int. J. Heat Mass Transfer, 47, 2577, 10.1016/j.ijheatmasstransfer.2003.12.018 Biserni, 2007, Constructal H-shaped cavities according to Bejan’s theory, Int. J. Heat Mass Transfer, 50, 2132, 10.1016/j.ijheatmasstransfer.2006.11.006 Rocha, 2005, Geometric optimization of shapes on the basis of Bejan’s constructal theory, Int. Commun. Heat Mass Transfer, 32, 1281, 10.1016/j.icheatmasstransfer.2005.07.010 Bejan, 2004 1995 Bar-Cohen, 1998, vol. 4