Vascular design for thermal management of heated structures

Vascular structures are contemplated for cooling the skins and leading surfaces of future high speed aircraft. This paper evaluates the proposal to cool with a flow architecture shaped as trees (dendritic) a parallelepipedic body that is heated uniformly. The coolant enters the body through one face and exits through the opposite face. The vasculature connects the two faces, and consists of trees that alternate with upside down trees. The fields for fluid flow and heat transfer are determined numerically in three dimensions. The effect of local pressure losses at bends, junctions and entrances is documented. Designs with tree-shaped architectures having up to four levels of bifurcation are evaluated for fluid flow and heat transfer performance, and are compared with the performance of a design with a single sheet of fluid sweeping the upper surface of the body. The fluid flow conductance of the tree designs increases when the number of bifurcation levels increases. The thermal performance of tree designs can be improved by endowing the tree design with more freedom such that the bifurcations generate asymmetric daughter channels. The tree designs outperform the fluid sheet design dramatically: the global thermal resistance of the tree designs is roughly one tenth of the global thermal resistance of the fluid sheet design.

[1]  C D Murray,et al.  The Physiological Principle of Minimum Work: I. The Vascular System and the Cost of Blood Volume. , 1926, Proceedings of the National Academy of Sciences of the United States of America.

[2]  Deborah V. Pence,et al.  Fluid Flow Through Microscale Fractal-Like Branching Channel Networks , 2003 .

[3]  S. Petrescu COMMENTS ON : THE OPTIMAL SPACING OF PARALLEL PLATES COOLED BY FORCED CONVECTION , 1994 .

[4]  Dimos Poulikakos,et al.  Tree network channels as fluid distributors constructing double-staircase polymer electrolyte fuel cells , 2004 .

[5]  P. Cheng,et al.  An experimental investigation on the thermal efficiency of fractal tree-like microchannel nets , 2005 .

[6]  M. Labarbera Principles of design of fluid transport systems in zoology. , 1990, Science.

[7]  M. Bendsøe,et al.  Topology optimization of heat conduction problems using the finite volume method , 2006 .

[8]  D. Poulikakos,et al.  Laminar mixing, heat transfer and pressure drop in tree-like microchannel nets and their application for thermal management in polymer electrolyte fuel cells , 2004 .

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

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

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

[12]  P. Cheng,et al.  Heat transfer and pressure drop in fractal tree-like microchannel nets , 2002 .

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

[14]  Adrian Bejan,et al.  Tree-shaped flow structures designed by minimizing path lengths , 2002 .