New concept of 3D bio-inspired solar thermal collector

Abstract The aim of the present work was to develop a new type of solar thermal collector tree shape in three dimensions. It is a Solar Thermal Tree (STT) whose branches and trunk consist of tubular absorbers glazed or not. The article presents the validation of the concept with a medium-scale prototype. The numerical modeling of the STT is first described, then the comparison of the experimental and numerical results, the evaluation of the performances based on dimensionless equations, and finally the multi-criteria optimization. The model has been used to identify the dimensionless equations (thermal efficiency and pressure drop) from a small number of parameters. These equations can be used to design the STT for different applications. It also enabled to define optimal solutions (Pareto) by considering the two performance functions in a configuration close to that of the prototype. Optimal solutions are compared with the experiment using the prototype, a solution that minimizes the creation of entropy generated by flow and heat transfer, and a solution based on the Hess-Murray law that minimizes flow resistance in laminar or turbulent flow. The optimization criterion based on entropy generation is the most relevant because the entropy generated by the air flow is very low compared to heat transfer. Also, optimization leads to maximizing thermal efficiency. Finally, the design of a 4 m2 STT that can be used to preheat the building's fresh air (0 °C) has been optimized. This new configuration, based on vacuum tubes has a thermal efficiency of 58%.

[1]  A. Bejan,et al.  Constructal law of design and evolution: Physics, biology, technology, and society , 2013 .

[2]  Anh Tuan Nguyen,et al.  A performance comparison of multi-objective optimization algorithms for solving nearly-zero-energy-building design problems , 2016 .

[3]  R. Boichot,et al.  A genetic algorithm for topology optimization of area-to-point heat conduction problem , 2016 .

[4]  R. G. Endres Entropy production selects nonequilibrium states in multistable systems , 2017, Scientific Reports.

[5]  Krishna Murari Pandey,et al.  A review on analysis and development of solar flat plate collector , 2017 .

[6]  Adrian Bejan,et al.  Freely morphing tree structures in a conducting body , 2012 .

[7]  Hui Liu,et al.  A hybrid optimization method to design shapes of three-dimensional flow channels , 2016 .

[8]  Donald S. Miller Internal Flow Systems , 1990 .

[9]  Jun Hong,et al.  Generating optimal heat conduction paths based on bionic growth simulation , 2017 .

[10]  Lingai Luo,et al.  Constructal approach and multi-scale components , 2007 .

[11]  Adrian Bejan,et al.  Trees and serpentines in a conducting body , 2013 .

[12]  Ming-Chuan Leu,et al.  Bio-inspired flow field designs for polymer electrolyte membrane fuel cells , 2014 .

[13]  Carl Mitcham,et al.  Philosophy and Technology: Readings in the Philosophical Problems of Technology , 1974 .

[14]  Yadvinder Malhi,et al.  Maximum entropy production in environmental and ecological systems , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[15]  S. Chamoli,et al.  A review on technical improvements, economic feasibility and world scenario of solar water heating system , 2017 .

[16]  Nasiru I. Ibrahim,et al.  Evaluation of solar collector designs with integrated latent heat thermal energy storage: A review , 2018 .

[17]  A. Miguel,et al.  Toward an optimal design principle in symmetric and asymmetric tree flow networks. , 2016, Journal of theoretical biology.

[18]  Alexandre K. da Silva,et al.  Constructal multi-scale tree-shaped heat exchangers , 2004 .

[19]  Lingai Luo,et al.  Design and scaling laws of ramified fluid distributors by the constructal approach , 2004 .

[20]  Limin Wang,et al.  Heuristic optimality criterion algorithm for shape design of fluid flow , 2010, J. Comput. Phys..

[21]  Marcelo H. Kobayashi,et al.  On a biologically inspired topology optimization method , 2010 .

[22]  Adrian Bejan,et al.  Constructal theory of pattern formation , 2006 .

[23]  A. Bejan,et al.  Svelteness, freedom to morph, and constructal multi-scale flow structures , 2005 .

[24]  Lingai Luo,et al.  Tree-network structure generation for heat conduction by cellular automaton , 2009 .

[25]  Enrico Sciubba,et al.  A Critical Reassessment of the Hess-Murray Law , 2016, Entropy.

[26]  Ruzhu Wang,et al.  Experimental study on roll-bond collector/evaporator with optimized-channel used in direct expansion solar assisted heat pump water heating system , 2014 .

[27]  Walter Hess Eine mechanisch bedingte Gesetzmäßigkeit im Bau des Blutgefäßsystems , 2006, Archiv für Entwicklungsmechanik der Organismen.

[28]  Ole Sigmund,et al.  Large scale three-dimensional topology optimisation of heat sinks cooled by natural convection , 2015, ArXiv.

[29]  Christopher Jenkins,et al.  Bio-Inspired Engineering , 2011 .

[30]  Adrian Bejan,et al.  Tree-shaped flow structures with local junction losses , 2006 .