A new framework for population balance modeling of spray fluidized bed agglomeration

Hussain, Mubashir; Kumar, Jitendra; Tsotsas, Evangelos

doi:10.1016/j.partic.2014.06.005

Cited by 26 publications

(18 citation statements)

References 30 publications

(53 reference statements)

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“…The modeling approach by Hussain et al shows that the aggregation kernel depends on the probability of a wet collision (at least one droplet must be involved in a collision for agglomeration to happen) and on the probability of a successful wet collision (probability that the kinetic energy is dissipated in a wet collision, leading to agglomeration). The product of these parameters, which is the probability of successful collisions P coll,suc , may then be used to estimate the dominant size enlargement mechanism:

P_{coll, suc} = P_{coll, wet} \cdot P_{coll, wet, suc} .

…”

Section: Modelingmentioning

confidence: 99%

“…Selecting one of them can be done by trial and error or by fitting free parameters in empirical kernels. Hussain et al present a study on modeling the aggregation kernel as a result of process conditions and material properties, which is achieved by incorporating the probability of wet collisions and the probability of successful wet collisions in the aggregation kernel. They show that these parameters are related to the wet surface fraction and the Stokes criterion, respectively.…”

Section: Introductionmentioning

confidence: 99%

“…In this study, a model to estimate the dominant size enlargement mechanism for spray fluidized bed layering processes is presented. Based on the work of Hussain et al, the probability of wet collisions and the probability of successful wet collisions are modeled. In order to calculate the probability of wet collisions, a new model for the wet surface fraction including the geometry of deposited droplets is presented.…”

Section: Introductionmentioning

confidence: 99%

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Estimation of the dominant size enlargement mechanism in spray fluidized bed processes

Rieck

Bück²,

Tsotsas

2020

AIChE Journal

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This work deals with estimating the dominant size enlargement mechanism in spray fluidized beds. A new process model is presented, which consists of population balances and a heat‐ and mass‐transfer model. New methods to incorporate the wet surface fraction and the Stokes criterion are proposed, which allow for the probability of wet collisions and the probability of successful wet collisions to be calculated. The product of these parameters, the probability of successful collisions, is linked to the dominant size enlargement mechanism. Simulation studies were performed to investigate the influence of inlet gas temperature, viscosity, droplet size, and contact angle on the probability of successful collisions. Further simulation results based on experiments available in literature suggest that exceeding a probability of successful collisions of 0.001 is sufficient for agglomeration to become dominant. Otherwise, layering will be the dominant size enlargement mechanism. Finally, regime maps of layering and agglomeration are constructed.

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P_{coll, suc} = P_{coll, wet} \cdot P_{coll, wet, suc} .

…”

Section: Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Estimation of the dominant size enlargement mechanism in spray fluidized bed processes

Rieck

Bück²,

Tsotsas

2020

AIChE Journal

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“…In recent times, models combining PBM and DEM with CFD have also been reported in literature. However, PBM and DEM still represent the most widely used and robust models available for modeling granulation . PBM takes the particle properties into account and groups the granules into populations having similar properties and defines how these populations develop properties through time, whereas DEM considers each particle and simulates their trajectory, movement, and growth.…”

Section: Introductionmentioning

confidence: 99%

Investigation on agglomeration kinetics of acetaminophen using fluidized bed wet granulation

Suresh

Kumar

Surasani

2020

Asia-Pacific J Chem Eng

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Acetaminophen is a well‐known medicine frequently used as analgesic in fever treatment. In pharmaceutical formulation procedure, batch fluidized bed wet granulation is a bottleneck process for the continuous processing of acetaminophen from powder to solid dosage form. To meet the market demand and reduce operating costs, fluid bed wet granulation needs process intensification by converting batch to continuous process. For the scale‐up and batch to continuous conversion procedure, investigation on acetaminophen agglomeration kinetics is necessary. Therefore, this work investigates agglomeration kinetics of acetaminophen through batch fluidized bed wet granulation experiments, and the kinetic parameters are estimated using inverse modeling. Experiments are conducted on a 5‐L capacity pilot scale batch fluidized bed granulator. The effects of various process parameters, namely, binder concentration, spray rate, atomization pressure, and batch size, on particle size distribution are investigated. A 1‐D population balance model with Equi‐Kinetic Energy kernel for agglomeration is simulated to compare with the experimental data. The mean particle diameter increased when binder spray rate and binder concentration are increased and that the mean particle diameter decreased with increase in the atomization pressure and batch size. Experiments data comparison with the model can be used for process intensification with reasonable accuracy.

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“…Population balance equations (PBEs) are widely used to model the dynamics of particulate processes such as aggregation, breakage, nucleation, etc. Many practical oriented applications of these processes can be found in various branches of pharmaceutical sciences, depolymerization, chemical engineering, etc. In this exercise, we mainly focus on the aggregation process that can be defined as the formation mechanism in which larger size particles are formed due to merging of smaller size particles.…”

Section: Introductionmentioning

confidence: 99%

Convergence analysis of finite volume scheme for nonlinear aggregation population balance equation

Singh

Kaur

2019

Math Methods in App Sciences

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In this work, we introduce the convergence analysis of the recently developed finite volume scheme to solve a pure aggregation population balance equation that is of substantial interest in many areas such as chemical engineering, aerosol physics, astrophysics, polymer science, pharmaceutical sciences, and mathematical biology. The notion of the finite volume scheme is to conserve total mass of the particles in the system by introducing weight in the formulation. The consistency of the finite volume scheme is also analyzed thoroughly as it is an influential factor. The convergence study of the numerical scheme shows second order convergence on uniform, nonuniform smooth (geometric) as well as on locally uniform meshes independent of the aggregation kernel. Moreover, the first‐order convergence is shown when the finite volume scheme is implemented on oscillatory and random meshes. In order to check the accuracy, the numerical experimental order of convergence is also computed for the physically relevant as well as analytically tractable kernels and validated against its analytical results.

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A new framework for population balance modeling of spray fluidized bed agglomeration

Cited by 26 publications

References 30 publications

Estimation of the dominant size enlargement mechanism in spray fluidized bed processes

Estimation of the dominant size enlargement mechanism in spray fluidized bed processes

Investigation on agglomeration kinetics of acetaminophen using fluidized bed wet granulation

Convergence analysis of finite volume scheme for nonlinear aggregation population balance equation

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