The Effective Pore Diameter of a Three-Dimensional Numerical Model for Estimating Heat and Fluid Flow Characteristics in Metal Foams

A three-dimensional numerical model is proposed to determine heat and fluid flow characteristics in metal foams. A series of full three-dimensional numerical calculations was performed to reveal complex three-dimensional ve- locity, pressure and temperature fields within three-dimensional porous structures of the metal foams. These numerical re- sults are processed to obtain the macroscopic characteristics such as the permeability, inertia, dispersion and interstitial heat transfer coefficients. An effective pore diameter concept has been proposed to correlate the resulting heat and fluid flow characteristics with available empirical correlations. In this study, we shall conduct a numerical study on heat and fluid flow in metal foam using a three-dimensional nu- merical model of periodical structure. In order to capture irregularities in real foams, quantities calculated at specific flow angles are ensemble-averaged over the flow angle. A rational way to evaluate the effective pore diameter, which is used as the characteristic length of present three-dimensional numerical model, is proposed. Permeability, Forchheimer coefficient, thermal dispersion and volumetric heat transfer coefficient are determined by spatially averaging micro- scopic numerical results. The validity of the present numeri- cal model and the effective pore diameter are examined by comparing the numerical results with available empirical correlations. Furthermore, an interesting relationship be- tween the thermal dispersion conductivity and the volumet- ric heat transfer coefficient is elucidated.