Experimental hydrodynamic study of flow through metallic foams: Flow regime transitions and surface roughness influence

Transport properties of solid foams having circular strut cross section using pore scale numerical simulations

“…and thus, C L ¼ ffiffiffiffiffiffi ffi K D p seemed to be the best candidate to use in order to distinguish flow regimes (see e.g. Dukhan et al, [12]; Kouidri and Madani, [19]). The only limitation with this parameter is its knowledge beforehand.…”

“…In this way, either critical values of Reynolds numbers are proposed (Bonnet et al, [17]) or range of transitional limits of Reynolds number is provided (e.g. Inayat et al, [11]; Dukhan et al, [12]; Beugre et al, [18]; Kouidri and Madani [19]). It can also be observed in the literature that the range of Reynolds number to classify and identify the flow regimes vary from one author to another.…”

Pressure Drop through Metallic Foam

“…The results of Hamadouche et al [10] demonstrate that the insertion of aluminum metallic foam, in turbulent flow, can enhance the heat transfer coefficient with factor of 300% compared to the smooth channel. Kouidri et al [11] characterized three metallic foam, Copper, NiFeAlCr and Inconel, with different surface roughness, their results show that the pressure drop increase from the smooth metallic foam to the rough one, they report also that the permeability changes from type of flow to another for each metallic foam samples. The theoretical studies in these fields are rare; Fourie et al [12] established a theoretical model based on the morphological proprieties and the hydraulic diameter of elementary representative cell.…”

Influence of flow conditions and foam parameters on pressure drop and heat transfer in flow of fluids through channels filled with metal foams

“…For instance, as reported by Bonnet et al, [4], permeability of foams increases along with the square of the pore diameter, whereas the results gained by Bagci and Dukhan [5] as well as Wang and Guo [6] contain a conclusion that the relation is proportional. The authors of the work in [4] remarked about the effect of fluid properties on the permeability, whereas Kouidri and Madani [7] demonstrated that the permeability and inertial coefficient of foams are also relative to the fluid velocities. Although the results are less straightforward, similar observations were made by Medraj et al [2] with regard to the transient and turbulent flows.…”

“…Hence, the pressure drop determined by the application of the Forchheimer equation can be characterized by a relatively high error if fluid is pumped through the foam with a considerable velocity. The reports in [6,7,12] suggest that the Forchheimer equation does not find application when the fluid velocity exceeds 10 m/s. Pressure drop during flow through metal foams can be derived on the basis of the Ergun equation.…”