
Yang Fluidization, Solids Handling, and Processing
.pdfAttrition in Fluidized Beds and Pneumatic Conveying Lines 485
K’bub |
Bubble-induced attrition rate constant, def. by Eq. (16) |
m-2 |
Kc |
Cyclone attrition rate constant, def. by Eq. (23) |
s2 m-2 |
K |
Jet attrition rate constant, def. by Eq. (8) |
s2 m-2 |
j |
|
|
mc,in |
Mass flux into the cyclone |
kg/s |
mc,loss |
Mass flux in the cyclone loss |
kg/s |
Nor |
Number of orifices |
- |
p |
Pressure |
Pa |
r |
Radius |
m |
R |
Bubble-induced attrition rate, def. by Eq. (12) |
s-1 |
a,bub |
|
|
Ra,c |
Cyclone attrition rate, def. by Eq. (17) |
- |
Ra,distrDistributor attrition rate, def. by Eq. (7) |
kg/s |
|
Ra,j |
Attrition rate per single jet, def. by Eq. (7) |
kg/s |
Ra,tot |
Overall attrition rate, def. by Eq. (2), |
|
|
measured according equ.(26) |
s-1 |
S |
Surface area |
4m2 |
S |
Mass specific surface area of bulk material |
m2/kg |
m |
Time |
s |
t |
||
uor |
Orifice velocity |
m/s |
Ue |
Cyclone inlet velocity |
m/s |
Ug |
Gas velocity |
m/s |
Ug,min Minimum fluidizing velocity to cause |
|
|
|
bubble-induced attrition |
m/s |
Ug,mf |
Superficial gas velocity at minimum |
m/s |
|
fluidization conditions |
|
v |
Volumetric flow rate |
m3/s |
W |
Mass |
kg |
Subscripts |
|
|
bed |
Bed |
|
c |
Cyclone |
|
el |
Elutriation |
|
g |
Gas |
|
or |
Orifice |
|
p |
Particle |
|
s |
Solid |
|
486 Fluidization, Solids Handling, and Processing
Greek Symbols
γ |
Specific free surface energy |
J/m2 |
ηEfficiency of the cyclone abrasion process,
μ |
def. by Eq. (18) |
- |
Solids loading |
- |
|
ρ |
Density |
kg/m3 |
τ |
Time |
s |
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Bubbleless Fluidization |
493 |
Figure 1a illustrates a typical fluidized leacher/washer. A slurry containing the solid particles to be leached and/or washed is fed at the top through a hydraulic distributor into an enlarged settling head where preliminary removal of excess liquor is accomplished. Solid particles then fall countercurrently against a rising stream of liquor into the fluidized leaching/ washing section, in which there is normally a dilute-phase region surmounting a dense-phase region. Both regions are fluidized, with a more or less well-defined interface between the two. Fresh leaching/washing liquor enters through special spargers located at the bottom of the dense-phase region. Below the dense-phase region, the solid slurry enters a compression zone in which as much liquor as possible is removed in order to discharge a highly concentrated underflow.
By comparing this simple diagram with the conventional continuous countercurrent decantation circuit, shown in Fig. 1b (Coulson and Richardson, 1968, 1978; Treybal, 1955, 1968, 1980) for carrying out the same duty, it is easy to deduce the following characteristics for fluidized leaching and washing:
*Complete hydraulic operation without any mechanical parts
*Continuous countercurrent operation in a single vertical column where longitudinal concentration gradient could be established
*Adaptability to extremely low flowing liquid-to-solid ratios, so that it is possible to obtain a relatively concentrated solution from a relatively lean solid parent material
*Low space requirement
*Ease of automation
Conceivably any granular solid containing a soluble component disseminated in an inert matrix could be leached rather efficiently in the fluidized state, and the leached pulp, or slurry, could again be washed in the fluidized state for removal of the remaining solution. Numerous solid particles of industrial significance are amenable to fluidized leaching and washing. In extractive metallurgy, for instance, certain low-grade copper ores could be leached with acid or ammoniacal solution advantageously in the fluidized state; cupriferous iron ores, after sulfatizing roasting, could
