Simulation of Thermal Transport in Open-Cell Metal Foams: Effect of Periodic Unit Cell Structure

Direct simulation of thermal transport in open-cell metal foams is conducted using different periodic unit cell geometries. The periodic unit cell structures are constructed by assuming the pore space to be spherical and subtracting the pore space from a unit cube of the metal. Different types of packing arrangement for spheres are considered - Body Centered Cubic, Face Centered Cubic, and the A15 lattice (similar to a Weaire-Phelan unit cell) - which give rise to different foam structures. Effective thermal conductivity, pressure drop and Nusselt number are computed by imposing periodic boundary conditions for aluminum foams saturated with air or water. The computed values compare well with existing experimental measurements and semi-empirical models for porosities greater than 80%. The effect of different foam packing arrangements on the computed thermal and fluid flow characteristics is discussed. The capabilities and limitations of the present approach are identified.Copyright © 2006 by ASME

[1]  J. Richardson,et al.  Properties of ceramic foam catalyst supports: one-dimensional and two-dimensional heat transfer correlations , 2004 .

[2]  Kenneth E. Evans,et al.  Fabrication methods for auxetic foams , 1997 .

[3]  D. Poulikakos,et al.  On the effective thermal conductivity of a three-dimensionally structured fluid-saturated metal foam , 2001 .

[4]  M. Ashby,et al.  Cellular solids: Structure & properties , 1988 .

[5]  R. Mahajan,et al.  The Effective Thermal Conductivity of High Porosity Fibrous Metal Foams , 1999 .

[6]  Kenneth A. Brakke,et al.  Computation of Equilibrium Foam Structures Using the Surface Evolver , 1995, Exp. Math..

[7]  B. Rubinsky,et al.  Utilization of Directional Freezing for the Construction of Tissue Engineering Scaffolds , 2003 .

[8]  J. Banhart Manufacture, characterisation and application of cellular metals and metal foams , 2001 .

[9]  Haydn N. G. Wadley,et al.  Electrical Conductivity of Open-cell Metal Foams , 2002 .

[10]  S. Garimella,et al.  Towards a Thermal Moore's Law , 2007, IEEE Transactions on Advanced Packaging.

[11]  Robert Lemlich,et al.  A theory for the limiting conductivity of polyhedral foam at low density , 1978 .

[12]  R. Lakes Foam Structures with a Negative Poisson's Ratio , 1987, Science.

[13]  J. Murthy,et al.  A PRESSURE-BASED METHOD FOR UNSTRUCTURED MESHES , 1997 .

[14]  J. Murthy,et al.  Periodic flow and heat transfer using unstructured meshes , 1997 .

[15]  Suresh V. Garimella,et al.  A Two-Temperature Model for the Analysis of Passive Thermal Control Systems , 2004 .

[16]  Burhan Ozmat,et al.  Thermal Applications of Open-Cell Metal Foams , 2004 .

[17]  Takeshi Miyanaga,et al.  Mist Transpiration Cooling System Using Open-Cellular Porous Materials. , 2005 .

[18]  J. Murthy,et al.  A Two-Temperature Model for Solid/Liquid Phase Change in Metal Foams , 2005 .

[19]  A philomorph looks at foam , 2001 .

[20]  J. Hyun,et al.  Effective Thermal Conductivity and Permeability of Aluminum Foam Materials1 , 2000 .

[21]  J. Murthy,et al.  Direct simulation of transport in open-cell metal foam , 2006 .

[22]  George W. Gilchrist,et al.  Thermal Management of Airbourne Early Warning and Electronic Warfare Systems Using Foam Metal Fins , 2003 .

[23]  Yiannis Ventikos,et al.  Simulations of flow through open cell metal foams using an idealized periodic cell structure , 2003 .

[24]  C. L. Tien,et al.  Boundary and inertia effects on convective mass transfer in porous media , 1982 .

[25]  Jayathi Y. Murthy,et al.  A Numerical Technique for Computing Effective Thermal Conductivity of Fluid–Particle Mixtures , 2005 .

[26]  Dimos Poulikakos,et al.  Metal foams as compact high performance heat exchangers , 2003 .

[27]  E. Sparrow,et al.  Fully Developed Flow and Heat Transfer in Ducts Having Streamwise-Periodic Variations of Cross-Sectional Area , 1977 .

[28]  R. Mahajan,et al.  Thermophysical properties of high porosity metal foams , 2002 .

[29]  R. Pitz-Paal,et al.  Porous Materials as Open Volumetric Solar Receivers: Experimental Determination of Thermophysical and Heat Transfer Properties , 2004 .

[30]  Jack Legrand,et al.  Pressure drop prediction for flow through high porosity metallic foams , 1994 .

[31]  M. Ashby,et al.  Metal Foams: A Design Guide , 2000 .

[32]  Lorna J. Gibson,et al.  Cellular materials as porous scaffolds for tissue engineering , 2001 .

[33]  J. Legrand,et al.  Application of metallic foams in electrochemical reactors of filter-press type Part I: Flow characterization , 1993 .

[34]  J. Murthy,et al.  Direct Simulation of Transport in Open-Cell Metal Foams , 2005 .