An adaptable analytical Ergun-type equation for high porosity spongelike porous media
An analytical Ergun-type equation for spongelike media is introduced in which developing flow in the short ducts of high porosity metallic foams are accounted for. Instead of the customary procedure of adjusting the empirical coefficients of the Ergun equation to apply to consolidated spongelike media, a pore scale model is introduced and the physical flow conditions remodelled. The pore-scale linear dimensions are expressed as a function of porosity and the dependence of the form drag coefficient on porosity is incorporated into the model which leads to satisfactory predictions for the inertial coefficient. The model predictions are compared to experimental data from the literature and the satisfactory correspondence provides confidence in the physical adaptability of the model. © 2010 American Institute of Physics.