CFD DEM simulations of a fluidized bed crystallizer Accepted Manuscript CFD DEM simulations of a fluidized bed crystallizer Kristin Kerst, Christoph Roloff, Luís G Medeiros de Souza, Antje Bartz, Andr[.]
Trang 1Accepted Manuscript
CFD-DEM simulations of a fluidized bed crystallizer
Kristin Kerst, Christoph Roloff, Luís G Medeiros de Souza, Antje Bartz,
Andreas Seidel-Morgenstern, Dominique Thévenin, Gábor Janiga
DOI: http://dx.doi.org/10.1016/j.ces.2017.01.068
To appear in: Chemical Engineering Science
Received Date: 5 July 2016
Accepted Date: 29 January 2017
Please cite this article as: K Kerst, C Roloff, L.G Medeiros de Souza, A Bartz, A Seidel-Morgenstern, D.Thévenin, G Janiga, CFD-DEM simulations of a fluidized bed crystallizer, Chemical Engineering Science (2017),doi: http://dx.doi.org/10.1016/j.ces.2017.01.068
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Kristin Kersta, Christoph Roloa, Lus G Medeiros de Souzaa, Antje Bartzc, Andreas
Seidel-Morgensternb,c, Dominique Thevenina, Gabor Janigaa,
a Institute of Fluid Dynamics and Thermodynamics, University of Magdeburg \Otto von Guericke",
Magdeburg, Germany
b Institute of Process Engineering, University of Magdeburg \Otto von Guericke", Magdeburg, Germany
c Max Planck Institute for Dynamics of Complex Technical Systems (MPI), Magdeburg, Germany
Abstract
are examined by numerical computations and companion experiments The simulations arecarried out using a coupled CFD-DEM approach (CFD: Computational Fluid Dynamics;DEM: Discrete Element Method) After validating an open-source CFD-DEM software toolfor this purpose, regions within the crystallizer with unfavorable hydrodynamic features andthus a negatively impacted process outcome have been identi ed This was rst accomplished
by single-phase CFD simulations Then, the validated CFD-DEM model delivers valuableinformation that is dicult or even impossible to measure experimentally with sucient
Since the simulations are computationally challenging, a compromise between simulatedprocess time and number of simulated particles must be found Hence, the CFD-DEMsimulations are not utilized to simulate the whole crystallization process, but to examine
Corresponding author
Email address: janiga@ovgu.de (Gabor Janiga)
Trang 4Figure 1 shows the basic structure of the novel operating process.
Figure 1: Principle of the novel continuous crystallization process for the synthesis of a desired enantiomer.
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Figure 2: Existing test apparatus installed at MPI Magdeburg.
essential to supply valuable information and guide process improvement, opening the door
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lutely necessary for CFD-DEM simulations involving many particles, since the computational e↵ortrapidly becomes unacceptable for such simulations [? ] The benefit of parallelization for the con-
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figuration of interest is depicted in Fig ?? The given computational times (in hours) correspond
to a real process time of only 1 second
51015202530
Figure 3: Computational time over number of processors used for the considered crystallizer.
In the current work, the full-scale three-dimensional fluidized bed crystallizer is simulated, sinceits geometry controls the hydrodynamics and outcome of the continuous process The CFD-DEMsimulations take 200 000 particles into account Though this value is very high, it must be kept in
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mind that one crystallizer typically contains 170 million crystals in reality
Thus, two conclusions can be drawn The good news is that parallelization can be used tonoticeably speed-up the simulation process; using 64 instead of 8 processors can reduce the simu-lation time by a factor of almost 5 However, the bad news is that parallelization is not sufficient
to simulate the entire process (several hours) using the real number of particles (about 170 million
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crystals): using the results of Fig ??, such a simulation would still take years using hundreds ofprocessors on a supercomputer Fortunately, it is not necessary to solve the entire process in all ofits complexity to acquire useful information from such simulations, as shown in the following Sim-ulating only a short time-frame of the process (neglecting crystal growth) with a reduced number
of particles readily delivers essential information for process understanding and improvement
Trang 14Figure 4: Employed geometry and block-structure computational grid Left: full view Right: details.
The second geometry, denoted Setup 2, is similar to Setup 1 but slightly simpli ed (no
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2.3.2 CFD-DEM Simulations
In order to save computational time, each CFD-DEM simulation is systematically initialized with the pressure and velocity fields obtained from a previous CFD simulation at steady-state for the 180
continuous (liquid) phase, without particles The CFD-DEM simulations are performed using the open-source software CFDEMcoupling [? ] The software CFDEMcoupling was developed by combining two well-known existing, open-source software (written in C++): OpenFOAM (for CFD) and LIGGGHTS (for DEM) The solution is obtained by combining the fluid (CFD) and particle (DEM) calculations using these two separate codes The interaction is realized by exchanging 185
relevant information with a predefined time step, as described in [? ] For the CFD simulation the transient solver pisoFoam of OpenFOAM is used As its name states, this solver relies on the PISO algorithm (Pressure Implicit with Splitting of Operator) for pressure-velocity coupling.
The real process in Setup 1 involves asparagine monohydrate crystals in the crystallizer The cumulative crystal size distribution (CSD) function Q 3 of the asparagine crystals during process 190
time when crystals are grown to a desired crystal size distribution was determined by optical surement with a CAMSIZER XT (Retsch GmbH, Haan, Germany) and is depicted in Fig ?? This CSD will be implemented in Setup 1, considering 200 000 crystals For the validation experiments
mea-in Setup 2, 100 000 particles are mea-injected mea-in reality, and this number is retamea-ined mea-in the CFD-DEM simulations, as well All further parameters for the CFD-DEM simulations of both setups are shown 195
in Table ?? (left column for Setup 2, right column for Setup 1).
0 20 40 60 80 100
Figure 5: Measured cumulative particle size distribution function Q 3 of the asparagine crystals in Setup 1.
3 Validation of the CFD-DEM Simulation Model
Trang 19Figure 7: Left: Model crystallizer column for validation; right: target for camera calibration.
The Shadowgraphy measurement setup is depicted in Fig 8 The column (1) is connected
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Trang 20Figure 8: Shadowgraphy setup for the validation experiment in Setup 2 with the column (1), tungsten light
(6), and water reservoirs (7 and 8).
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possible to dierentiate between small and large particles These two gures can be used to
Trang 2495 -100 m (top line), 120 - 125 m (middle line), 140 -155 m (bottom line).
Considering the perfect qualitative agreement, the excellent identi cation of the transition
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Figure 10: Computed particle vertical velocity, v z , as a function of its radial position in the column; the size
of the marker is proportional to its square diameter; (a) - the dashed line represents the analytical solution
of the expected Hagen-Poiseuille velocity pro le; (b) - the solid lines represent the quadratic t curves for particles 95 -100 m (top line), 120 - 125 m (middle line), 140 -155 m (bottom line).
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Figure 11: Comparison of the average vertical velocity, vz
radial position in the column (bin size: 0.25 mm) from the experiment (black crosses) and the CFD-DEM simulation (grey circles); error bars indicate the standard deviation around the mean.
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31 L/h
Figure 12: (a) - Velocity magnitude in the central section plane of the crystallizer (Setup 1) at 180 s, (b)
Closeup view of the velocity eld in the crystallizer at midheight, near the product outlet nozzle, (c) Close-up view near the product outlet nozzle in the experiment when injecting glass particles as tracers.
-outlet nozzle, (f) - Velocity magnitude in the central section plane of the test crystallizer (Setup 2) at 180 s.
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Open
Ultra- sonic bath
Closed
Ultra- sonic bath
To further quantify the observed dierence, the velocity magnitudes along the vertical
Trang 33Figure 15: Vertical relative velocity, vz
in the crystallizer with a closed ultrasonic bath at the section plane of the product outlet nozzle (z = 0:525 m); the size of the marker is proportional to the particle square diameter The solid lines represent the linear
t curves for particles of 50, 65, 125, 165, 225, and 265 m (from bottom line to top line, respectively) Since there are very few particles of 325 m and 365 m, those are not included in the analysis.
Con ... crystals
Validation of the CFD- DEM simulation model via Shadowgraphy with a particle tracking approach
Identification of regions with unfavorable hydrodynamic features, thus negatively...
Trang 19Figure 7: Left: Model crystallizer column for validation; right: target for camera calibration.
The... crystals For the validation experiments
mea-in Setup 2, 100 000 particles are mea-injected mea-in reality, and this number is retamea-ined mea-in the CFD- DEM simulations, as