Further Researches in Fluid Flow through Beds of Granular Material

Abstract

In this paper the results of previous researches are extended and equations developed by means of which the resistance to fluid flow offered by a bed of spherical or non-spherical material may be computed with reasonable accuracy. The equations cover a range of porosity of the bed from 30 per cent to 90 per cent and practically the whole of the technically important range of Reynolds number, while particle shapes ranging from spheres to hollow cylinders, shell insulators and wire nails are covered. A new curve for wall-effect, depending upon Reynolds number, is also included. It is believed that the present work is of more general application than any which has previously been suggested.

A Semi-empirical Correlation for Pressure Drop in Packed Beds of Spherical Particles

“…Figure 6 shows the calculation results for the pressure drop ratio when D/d p > 3. The behavior of the pressure drop ratio is shown to strongly depend on the magnitude of Rose and Rizk (1949) reported similar results to Fig. 6 by calculating the dependency of the pressure drop on D/d p from experimental results.…”

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

“…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. Since the h(ε) curve given by Rose and Rizk [18] is very inconvenient to use when a large number of calculations are needed (as is the case in this work), the following curve-fitting polynomial has been developed here to be used (within the range 0.32 b ε b 0.90) in conjunction with the Rose equation: …”

“…Rose and Rizk [18] proposed a modified version (see Eq. (21)) of the original Rose equation together with the same porosity curve which is represented in this work by Eq.…”

“…(19) above. Rose and Rizk [18] also provided sets of curves giving wall-effect correction as a function of the ratio d p /D and Re, where D is the column diameter. The following features of wall-effect curves stand out: (i) The mentioned curves were based on the earlier equation developed by Rose [15] (Eq.…”

Steady periodic heat transfer in a rock bed exposed to sinusoidal air temperature variation

“…The friction factor is a complex function of surface roughness, fraction of voids, particle shape, particle size and bed configuration. Rose and Rizk (1949) has shown the edge effect to be negligible if the ratio of container diameter to particle diameter is greater than 20. White (1935) found that if the ratio of the rock bed diameter to particle diameter is six or more, the wall effect in pressure drop is neglected.…”