About a correlating equation for predicting pressure drops through packed beds of spheres in a large range of Reynolds numbers

Wall effect on pressure drop in packed beds

“…Fig. 1 shows that the data for D/d N 1.4 could be approximated as a constant, as suggested by Mehta and Hawley [6] and Reichelt [8], while the increasing trend of A w with increasing D/d is predicted by Foumeny et al [7] and Montillet and Comiti [13]. However, Raichura's [14] A w -prediction is much greater than the others and also the data.…”

“…Similar experiments for very low ratios of D/d have also been conducted by Calis et al [11] and Cheng et al [12] for square packed beds. Montillet and Comiti [13] commented that both porosity and bed-to-particle diameter ratio should be used to take wall effects into account in relating friction factor to Reynolds number. Table 1 summarises various correlations available in the literature for evaluating A w and B w .…”

“…Table 1 summarises various correlations available in the literature for evaluating A w and B w . The formulas by Foumeny et al [7], Raichura [14] and Montillet and Comiti [13] are obtained by reformulating their original correlations for very small or large Reynolds numbers in terms of f w and Re w . Plotted in Figs.…”

A revisit of pressure drop-flow rate correlations for packed beds of spheres

“…Furthermore, the Rose equation has been occasionally quoted (e.g. Montillet, Akkari and Comiti [5]; Özahi, Gundoğdu and Çarpinlioğlu [16]) without the porosity correction function h(ε). This porosity correction function was presented in graphical form in another paper by Rose [17] and then given again in graphical form by Rose and Rizk [18] by extending it to higher porosities.…”

Measurement and Determination of Friction Characteristic of Air Flow through Porous Media

“…Early experimental works by Beavers et al [10,11] indicate that the flow characteristics of fibrous porous media can be clarified by Forchheimer equation with appropriate permeability and inertial coefficient. Montillet et al [12] proposed a correlating equation to predict pressure drops through packed beds and provided experimental evidence for validation. Antohe et al [13] presented a study that uses the Forchheimer extended flow model to compute the permeability and inertial coefficient for the compressed aluminum matrices.…”