NDLI: Analytical and Numerical Modeling of Conductive and Convective Heat Transfer Through Open-Cell Metal Foams

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Taheri, Mehrdad Chandra, Sanjeev Mostaghimi, Javad
Copyright Year	2012
Abstract	In this paper, a comprehensive analytical and numerical study of conductive and convective heat transfer through high porosity metal foams is presented. In the first part a novel theoretical model for determination of effective thermal conductivity of metal foams is introduced. This general analysis can be applied to any complex array of interconnected foam cells. Assuming dodecahedron unit cell for modeling the structure of metal foams, an approximate equation for evaluation of effective thermal conductivity of foam with a known porosity is obtained. In this approximation method, unlike the previous two-dimensional (2D) models, porosity is the only geometric input parameter used for evaluation of effective thermal conductivity, while its predictions of effective thermal conductivity are in excellent agreement with the previous models. In the second part a 3D numerical model for conduction in metal foam is constructed. The foam has a square cross section and is exposed to constant temperature at both ends and constant heat flux from the sides. We assume local thermal equilibrium (LTE), i.e., the solid and fluid temperatures are to be locally equal. Comparison of the 3D numerical results to the experiments shows very good agreement. The last part of the study is concerned with the 3D numerical modeling of convective heat transfer through metal foams. Experimentally determined values of permeability and Forchheimer coefficient for 10 pores per inch (PPI) nickel foam are applied to the Brinkman-Forchheimer equation to calculate fluid flow through the foam. Local thermal equilibrium (LTE) and local thermal non-equilibrium (LTNE) methods were both employed for heat transfer simulations. While LTE method resulted in faster calculations and also did not need surface area to volume ratio (αsf) and internal convective coefficient (hsf) as its input, it was not accurate for high temperatures. LTNE should be used to obtain distinct local solid and fluid temperatures.
Sponsorship	Heat Transfer Division
Starting Page	1013
Ending Page	1021
Page Count	9
File Format	PDF
ISBN	9780791844786
DOI	10.1115/HT2012-58297
Volume Number	Volume 2: Heat Transfer Enhancement for Practical Applications; Fire and Combustion; Multi-Phase Systems; Heat Transfer in Electronic Equipment; Low Temperature Heat Transfer; Computational Heat Transfer
Conference Proceedings	ASME 2012 Heat Transfer Summer Conference collocated with the ASME 2012 Fluids Engineering Division Summer Meeting and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels
Language	English
Publisher Date	2012-07-08
Publisher Place	Rio Grande, Puerto Rico, USA
Access Restriction	Subscribed
Subject Keyword	Metal foams Temperature Approximation Computer simulation Fluid dynamics Equilibrium (physics) High temperature Permeability Thermal equilibrium Modeling Convection Heat flux Heat conduction Fluids Simulation Thermal conductivity Nickel Porosity Engineering simulation Heat transfer
Content Type	Text
Resource Type	Article

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