The natural emergence of asymmetric tree-shaped pathways for cooling of a non-uniformly heated domain

Here, we show that the peak temperature on a non-uniformly heated domain can be decreased by embedding a high-conductivity insert in it. The trunk of the high-conductivity insert is in contact with a heat sink. The heat is generated non-uniformly throughout the domain or concentrated in a square spot of length scale 0.1 L0, where L0 is the length scale of the non-uniformly heated domain. Peak and average temperatures are affected by the volume fraction of the high-conductivity material and by the shape of the high-conductivity pathways. This paper uncovers how varying the shape of the symmetric and asymmetric high-conductivity trees affects the overall thermal conductance of the heat generating domain. The tree-shaped high-conductivity inserts tend to grow toward where the heat generation is concentrated in order to minimize the peak temperature, i.e., in order to minimize the resistances to the heat flow. This behaviour of high-conductivity trees is alike with the root growth of the plants and trees. The...

[1]  Surjya K. Pal,et al.  Ultrafast cooling of a hot moving steel plate by using alumina nanofluid based air atomized spray impingement , 2015 .

[2]  Tanmay Basak,et al.  Experimental and numerical study on microwave heating of nanofluids , 2012 .

[3]  Adrian Bejan,et al.  Constructal Theory and its Relevance to Green Energy , 2007 .

[4]  S. Mooney,et al.  Plant roots use a patterning mechanism to position lateral root branches toward available water , 2014, Proceedings of the National Academy of Sciences.

[5]  Zhihui Xie,et al.  Geometry optimization of T-shaped cavities according to constructal theory , 2010, Math. Comput. Model..

[6]  Adrian Bejan,et al.  Conduction trees with spacings at the tips , 1999 .

[7]  C. Biserni,et al.  Constructal design of X-shaped conductive pathways for cooling a heat-generating body , 2013 .

[9]  Jackson Braz Marcinichen,et al.  Dynamic flow control and performance comparison of different concepts of two-phase on-chip cooling cycles , 2014 .

[10]  S. Kakaç,et al.  Cooling of Electronic Systems , 1994 .

[11]  INVERTED FINS FOR COOLING OF A NON-UNIFORMLY HEATED DOMAIN , 2015 .

[12]  Delfeena Eapen,et al.  Hydrotropism: root growth responses to water. , 2005, Trends in plant science.

[13]  Ali Asghar Hamidi,et al.  Application of nanofluids in computer cooling systems (heat transfer performance of nanofluids) , 2012 .

[14]  C. Biserni,et al.  Constructal design applied to the optimization of complex geometries: T-Y-shaped cavities with two additional lateral intrusions cooled by convection , 2012 .

[15]  A. Miguel,et al.  Constructal pattern formation in stony corals, bacterial colonies and plant roots under different hydrodynamics conditions. , 2006, Journal of theoretical biology.

[16]  Adrian Bejan,et al.  Thermodynamic optimization of internal structure in a fuel cell , 2004 .

[17]  Erdal Cetkin,et al.  The steepest S curve of spreading and collecting flows: Discovering the invading tree, not assuming it , 2012 .

[18]  C. Sobhan,et al.  Characterization of Heat Dissipation From a Microprocessor Chip Using Digital Interferometry , 2012, IEEE Transactions on Components, Packaging and Manufacturing Technology.

[19]  Thomas Brunschwiler,et al.  Energy efficient hotspot-targeted embedded liquid cooling of electronics , 2015 .

[20]  The constructal-law physics of why swimmers must spread their fingers and toes. , 2012, Journal of theoretical biology.

[21]  Adrian Bejan.  Science and technology as evolving flow architectures , 2009 .

[22]  Morteza Khoshvaght-Aliabadi,et al.  An experimental study of Cu–water nanofluid flow inside serpentine tubes with variable straight-section lengths , 2015 .

[23]  Adrian Bejan.  Thermodynamic optimization alternatives : Minimization of physical size subject to fixed power , 1999 .