Heat‐Transfer Coefficient for Cellular Materials Modelled as an Array of Elliptic Rods

Abstract

Convective heat‐transfer coefficients in foam‐like materials, modelled as an array of elliptic rods, are numerically determined. An incompressible fluid is considered, flowing through an infinite foam‐like material with an arbitrary solid temperature. A repetitive cell is identified and periodic boundary conditions are applied. Turbulence is handled with both low and high Reynolds number formulations. The interfacial heat‐transfer coefficient is obtained by volume integrating the distributed variables obtained within the cell. The results indicate that, for the same mass‐flow rate, materials formed by elliptic rods have a lower interfacial heat‐transfer coefficient compared to other media modelled as staggered arrays of square rods.

Upscaling of mass and thermal transports in porous media with heterogeneous combustion reactions

“…Kuwahara et al [49] conducted exhaustive numerical experiments with in-line arrangement of square rods in order to determine the convective heat-transfer coefficient. Moreover, a numerical determination was performed by de Lemos and Saito [50] in cellular materials, in which the solid matrix is treated as an ordered array of elliptic rods. In the present study, however, the unit cell geometry shown in Fig.…”

“…A detailed description of the evaluation of this unknown integral is given by Quintard et al [50]. n mf Á k m rb mf ¼ n mf Á k f rb ff þ n mf k f at A fm…”