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EXPERIMENTAL VALIDATION
The objective of the experiments was to investigate the
simultaneous agglomeration and drying. For the experiments
we used microcrystalline cellulose, also known as MCC. It
is widely used in pharmaceutical industry as a carrier material
for active agents. Pharmacoat 606 was used as a binder. Experiments
have been conducted in a commercial fluidized bed (Type GPCF
1.1) of Glatt company. The main component of this plant is
the conical fluidization chamber with a diameter of 138 mm
at the bottom and 304 mm at the top. The height of the chamber
is 565 mm. The process can be observed through two glass
slits. A blower sucks the fluidization gas into an electro
heater of 3.96 kW. The electro heater controls the inlet
temperature of the fluidization gas. The actual value is
measured by a thermo couple which is fixed below the air
distribution plate. An electrical adjustable flap placed
in front of the blower controls the air flow rate. Outlet
air is cleaned by the two tube filters which are at the top
of the apparatus. The filters are cleaned asynchronously
in fixed time intervals. For sampling during the agglomeration
process a small discharge pipe is provided. A glass valve
is connected in a gas-tight junction with the pipe. By spring
mechanism the removal is opened and the valve is filled with
granules from the bed. The binder solution is sprayed onto
the fluidized bed by the two-component nozzle (Type 970/0-S04)
of Schlick company. The throughput and the spray pattern
is controlled by the air pressure and an air flap. During
the experiments the nozzle was used in a top spray configuration.
A gradual adjustable flexible-tube pump controlled the flow
rate of binder to the nozzle. A balance was used to measure
the actual throughput.
Main process parameters are summarized
in Table 2. At the beginning of each experiment, the apparatus
was shut down to fill the fluidization chamber with hold-up
material. The bed material was dried and heated up for
4 minutes. After the pre-drying process the binder was sprayed
onto the bed material. The spraying time was chosen in
such a way that a fixed fraction of 10 % binder of hold-up
was achieved. The samples were collected during spraying
at constant time intervals of 2 minutes. In addition to particle
moisture content, measured with Halogen Moisture Content
Analyzer, the particle size distribution of these samples
was analyzed. The CamSizer system of company Retsch Technologies,
based on digital picture processing, was used for particle
size and particle shape characterization. Finally the material
was dried for 4 minutes after the end of spaying.
| Table 2: Main experimental parameters |
| Bed mass |
0.2 |
kg |
| Mass flow rate of dry gas |
0.014 |
kg/s |
| Gas inlet moisture |
0.0085 |
g/kg |
| Gas inlet temperature |
60 |
°C |
| Liquid flow rate (2nd stage) |
0.48 |
kg/h |
| Liquid temperature |
20 |
°C |
| Drying time (1st stage) |
360 |
s |
| Agglomeration time (2nd stage) |
1200 |
s |
| Drying time (3rd stage) |
20 |
s |
| Agglomeration rate |
5.174.10-4 |
1/s |
Figure 6: Time progression of gas outlet temperature
Figure 7: Time progression of gas moisture at the inlet and
outlet
Figure 8: Time progression of mean particle moisture content
The experimental result
and comparison with simulation are exemplified in Figure
6 to Figure 9. The progress of gas outlet temperature in
Figure 6 shows three characteristic stages. First of all
the outlet temperature increases up to t = 240 s. This
increase characterizes the pre-drying period (1st stage).
During this period the hold-up is been dried and heated-up.
This drying process can also be identified by time progression
of the outlet gas humidity content in Figure 8. Shortly after
starting the experiment, the outlet gas humidity increases
rapidly. After this, the humidity decreases up to the value
of gas inlet humidity. This point indicates the end of drying.
The particle moisture content remains constant. The spraying
of binder starts at t = 240 s. Here a rapid decrease of
gas outlet temperature can be observed. Simultaneously the
gas outlet humidity increases and remains constant after
a short time. At this point the total liquid hold-up of the
bed material remains nearly constant. The amount of sprayed
and dried liquid is the same. The constant value of particle
moisture content, shown in Figure 8, confirms this observation.
The gas outlet temperature decreases during the entire spraying
time. This progression is caused by the slow decrease of
wall temperature, which is in heat transfer with particles,
gas and environment. The spraying ends at t = 1560 s. The
last stage indicates the drying of agglomerates. Again,
a decrease of gas outlet humidity and an increase of gas
outlet temperature can be observed. To predict the evolution
of particle size distribution a size dependent kernel
(20)
has been applied. The fitting parameters a, b and b0 have
been determined from the measurement results using an inverse
technique. A brief introduction to this approach is given
in Peglow et al. (2006). In our case we obtained a = 0.71053,
b = 0.06211 and β0 = 5.174.10-4. A comparison of experiment
and simulation PSD is presented in Figure 9.
Figure 9: Evolution of particle
size distribution (RE – relative
error)
CONCLUSION
This paper presents a new modeling approach for simultaneous
agglomeration and drying in fluidized bed. Using a heterogeneous
fluidized bed model with active bypass, all relevant heat
and mass balances have been derived. The solid phase has
been described in terms of population balances. Here three
one-dimensional PBE, for particle size, for enthalpy and
for liquid mass distribution have been applied. Since an
analytical solution of the model is not possible, a numerical
simulation has been provided. Therefore a new discrete formulation
of PBE which is capable to predict extensive and intensive
properties of the solid phase has been utilized. For the
validation of presented model, agglomeration and drying experiments
with MCC have been carried out. Preliminary investigations
have been conducted to characterize the drying and adsorption
behavior of MCC at different temperatures. The experimental
results of this investigations have been used for a validation
of the model. For batch-wise agglomeration of MCC it has
been demonstrated, that the evolution of PSD and mean moisture
content of solid phase are reproduced by the model. The agglomeration
kinetic has been determined directly from measured evolution
of PSD. Properties of gas phase such as gas outlet humidity
gas outlet temperature can be predicted without any fitting.
NOTATION
| a |
empirical parameter |
- |
| A |
surface area |
m2 |
| b |
empirical parameter |
- |
| c |
particle property |
m3 |
| d |
diameter |
m |
| I |
total number of intervals |
- |
| K |
correction factor |
- |
| f |
2-D population density function |
1/m6 |
| H |
enthalpy |
J |
| h |
enthalpy density function |
J/m3 |
| M |
mass |
kg |
| m |
mass density function |
kg/m3 |
| m |
tracer mass density function |
kg/m3 |
| n |
number density function |
1/m3 |
| N |
number of particles |
- |
| Q |
heat |
J |
| q |
parameter for grid adaptation |
- |
| t |
time |
s |
| u |
volume |
m3 |
| v |
volume |
m3 |
| X |
moisture content in solid phase |
kgw,l/kgs |
| Y |
moisture content in gas phase |
kgw,l/kgg |
| Greek Symbols |
| α |
heat transfer coefficient |
W/(m2s) |
| β |
agglomeration rate |
1/s |
| β |
mass transfer coefficient |
m/s |
| γ |
integration constant |
- |
| ε |
integration constant |
- |
|
normalized drying curve |
- |
| ν |
bypass fraction |
- |
| ξ |
bed height |
m |
| ρ |
density |
kg/m3 |
| ϑ |
temperature |
°C |
| Subscripts |
| b |
bypass phase |
|
| e |
environment |
|
| eq |
equilibrium |
|
| g |
gas phase |
|
| i |
interval, Index |
|
| j |
interval, Index |
|
| l |
liquid |
|
| n |
nozzle |
|
| p |
particle |
|
| s |
suspension phase |
|
| w |
water |
|
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Prof. Dr. Stefan
Heinrich did study process
technology at the University of Magdeburg from 1991-96,
where he did also obtain his Ph.D. in 2000, a junior
professorship in 2002 and where he still works as a scientific
group leader. In 2004 he was rewarded with the VDI ring
of honour.
Contact: stefan.heinrich@vst.uni.magdeburg.de |
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