Vascular design for reducing hot spots and stresses

This paper is a proposal to embed tree-shaped vasculatures in a wall designed such that the wall withstands without excessive hot spots and peak stresses the intense heating and pressure that impinge on it. The vasculature is a quilt of square-shaped panels, each panel having a tree vasculature that connects the center with the perimeter. The vascular designs for volumetric cooling can be complemented by the shaping and distributing of channels for maximum strength and thermal performance at the same time. Numerical simulations of heat flow and thermal stresses in three directions show that it is possible to determine the optimal geometric features of configurations with radial channels and trees with radial and one level of bifurcations. The global performance is evaluated in terms of the overall thermal resistance and peak von Mises stresses. The dendritic design is superior under the studied thermal condition.

[1]  Arun S. Mujumdar,et al.  Flow and thermal characteristics of offset branching network , 2010 .

[2]  Yongping Chen,et al.  Thermal and hydrodynamic characteristics of constructal tree‐shaped minichannel heat sink , 2009 .

[3]  A. Bejan.  Constructal-theory network of conducting paths for cooling a heat generating volume , 1997 .

[4]  J. Ordonez,et al.  Constructal dendritic geometry and the existence of asymmetric bifurcation , 2006 .

[5]  David E. Goldberg,et al.  Design of microvascular flow networks using multi-objective genetic algorithms , 2008 .

[6]  Adrian Bejan,et al.  The constructal law of design and evolution in nature , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[7]  A. Bejan,et al.  Vascularization for cooling and mechanical strength , 2011 .

[8]  Adrian Bejan,et al.  Networks of channels for self-healing composite materials , 2006 .

[9]  A. Syed,et al.  EXPERIMENTAL STUDY OF TREE NETWORKS FOR MINIMAL PUMPING POWER , 2008 .

[10]  A. Bejan,et al.  Constructal theory of generation of configuration in nature and engineering , 2006 .

[11]  Tanmay Basak,et al.  The law of life: the bridge between physics and biology: comment on "The constructal law and the evolution of design in nature" by A. Bejan and S. Lorente. , 2011, Physics of life reviews.

[12]  Adrian Bejan,et al.  Convective trees of fluid channels for volumetric cooling , 2000 .

[13]  Sylvie Lorente,et al.  Constructal view of electrokinetic transfer through porous media , 2007 .

[14]  A. Bejan,et al.  Constructal tree networks for heat transfer , 1997 .

[15]  Fengrui Sun,et al.  Multiobjective constructal optimization of an insulating wall combining heat flow, strength and weight , 2011 .

[16]  Philippe H. Geubelle,et al.  Multi-physics optimization of three-dimensional microvascular polymeric components , 2013, J. Comput. Phys..

[17]  Adrian Bejan,et al.  Few Large And Many Small: Hierarchy In Movement On Earth , 2010 .

[18]  P. Yuan,et al.  Estimation of the equivalent perfusion rate of Pennes model in an experimental bionic tissue without blood flow , 2012 .

[19]  J. Meyer,et al.  Combined Numerical Optimization and Constructal Theory for the Design of Microchannel Heat Sinks , 2010 .

[20]  Lingai Luo,et al.  A simple Cellular Automaton algorithm to optimise heat transfer in complex configurations , 2010 .

[21]  C. Elphick,et al.  Constructal Theory: From Engineering to Physics, and How Flow Systems Develop Shape and , 2006 .

[22]  J. Liburdy,et al.  Gas–liquid flows in a microscale fractal-like branching flow network , 2009 .

[23]  Moo Hwan Kim,et al.  Fluid flow characteristics of vascularized channel networks , 2010 .

[24]  Norbert Kockmann,et al.  Simulation and experimental investigation of pressure loss and heat transfer in microchannel networks containing bends and T-junctions , 2009 .

[25]  Nancy R. Sottos,et al.  Computational Modeling and Design of Actively-Cooled Microvascular Materials , 2012 .

[26]  A. Bejan,et al.  Optimal Temperature Distribution in a Three-Dimensional Triple-Layered Skin Structure Embedded with Artery and Vein Vasculature , 2006 .

[27]  A. Bejan.  Shape and Structure, from Engineering to Nature , 2000 .

[28]  A. Bejan,et al.  Vascularization for cooling a plate heated by a randomly moving source , 2012 .

[29]  Erdal Cetkin,et al.  Natural constructal emergence of vascular design with turbulent flow , 2010 .

[30]  Adrian Bejan,et al.  Design with constructal theory , 2008 .

[31]  Adrian Bejan,et al.  Vascular design for thermal management of heated structures , 2009 .

[32]  A. Bejan,et al.  Unifying constructal theory of tree roots, canopies and forests. , 2008, Journal of theoretical biology.

[33]  Adrian Bejan,et al.  Vascularized networks with two optimized channel sizes , 2006 .

[34]  Adrian Bejan,et al.  The emergence of vascular design in three dimensions , 2008 .

[35]  Adrian Bejan,et al.  Deterministic Tree Networks for River Drainage Basins , 1998 .

[36]  A. Bejan,et al.  Vascular Countercurrent Network for 3-D Triple-Layered Skin Structure with Radiation Heating , 2010 .

[37]  Adrian Bejan,et al.  Vascularized materials: Tree-shaped flow architectures matched canopy to canopy , 2006 .

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

[39]  Won-Pyo Chang,et al.  A numerical and experimental study to evaluate performance of vascularized cooling plates , 2011 .

[40]  Y. Muzychka.  Constructal multi-scale design of compact micro-tube heat sinks and heat exchangers , 2007 .

[41]  Adrian Bejan,et al.  Tree-shaped vascular wall designs for localized intense cooling , 2009 .

[42]  Chen Lingen.  Progress in study on constructal theory and its applications , 2012 .

[43]  Louis Gosselin,et al.  Optimization of tree-shaped fluid networks with size limitations , 2007 .

[44]  A. Bejan,et al.  Hybrid grid and tree structures for cooling and mechanical strength , 2011 .

[45]  Y. Muzychka.  Constructal design of forced convection cooled microchannel heat sinks and heat exchangers , 2005 .

[46]  Adrian Bejan,et al.  Vascular structures for volumetric cooling and mechanical strength , 2010 .

[47]  Kuo-Chi Liu,et al.  Investigation on the bio-heat transfer with the dual-phase-lag effect , 2012 .

[48]  Adrian Bejan,et al.  The “flow of stresses” concept: The analogy between mechanical strength and heat convection , 2010 .

[49]  Yuri S. Muzychka,et al.  Constructal Design of Forced Convection Cooled Microchannel Heat Sinks and Heat Exchangers , 2005 .

[50]  H Kurz,et al.  Structural and biophysical simulation of angiogenesis and vascular remodeling , 2001, Developmental dynamics : an official publication of the American Association of Anatomists.

[51]  Adrian Bejan.  The constructal-law origin of the wheel, size, and skeleton in animal design , 2010 .

[52]  E. Shirani,et al.  Constructal optimization of the geometry of an array of micro-channels☆ , 2011 .

[53]  Moo Hwan Kim,et al.  Transient thermal-fluid flow characteristics of vascular networks , 2012 .

[54]  Kee-Hyeon Cho,et al.  Hydraulic-thermal performance of vascularized cooling plates with semi-circular cross-section , 2012 .