Solid-phase velocity

Figure 9 (a) Three-dimensional view of 3D solid concentration with a horizontal gas jet in the fluidized bed (b) 3D voxel-volume-averaged solid phase velocity vector map in the Y-Z plane of the fluidized bed (c) 3D voxel-volume-averaged solid phase vector map (Wang et al., 2008) (see Plate 12 in Color Plate Section at the end of this book). 

Dimensionless concentration of A in the fluid phase Dimensionless concentration of A at the isotherm inflection point Solid phase velocity... 

The condition for complete separation given in Eq. 17.16 is clearly illustrated in Figure 17.3. The switching time, t, (or, alternately, the solid phase velocity) must be selected in such a way that the first component front passes the raffinate node but that the second component front does not reach it. This latter condition is equivalent to j6 > 1. When = 1, the extract reaches just the raffinate node at time t. This is the limit situation. We can see from Eq. 17.19 that, in this case, Lq is equal to 0. 

In these equations is the density of fluid (water), p - density of solid phase, - fluid velocity in transport pores, - fluid velocity between clay particles, V, - solid phase velocity. 

Figure 4.19 Time-averaged particle movement and time-averaged lateral profile of the axial solids phase velocity for different heights in the fluidized bed with (A) 40% gas extraction, (B) 20% gas extraction, (C) the reference series with no gas addition/extraction, (D) 20% gas addition, and (E) 40% gas addition, in all experiments, the background fluidization veiocity was kept constant (uo = 100%). Reprinted from DeJong et al. (2011) with permission from Elsevier.

Note that since there are only two phases, i = (l- 2). Consider steady state the terms on the left-hand side disappear. We now employ the linear driving force assumption (7.1.5b) along with linear equilibrium relation (7.1.18a), C,i/Ca=Ka and the relation v z - z/t) relating the solid-phase velocity to time and axial coordinates ... 

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