Motion of an Elastic Capsule in a Trapezoidal Microchannel under Stokes Flow Conditions

Koolivand, Abdollah; Dimitrakopoulos, P.

doi:10.3390/polym12051144

Cited by 3 publications

(1 citation statement)

References 63 publications

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“…As a closure to this section, we note that the applications of mathematical modeling are not limited to CM processes. In fact, mathematical models are suitable for studying different aspects of pharmaceutical systems and processes including drug mechanism (34), drug formulation and development (35,36), next generation drug carriers (37,38), new manufacturing techniques (39), scale up studies (40), etc.…”

Section: Introductionmentioning

confidence: 99%

Development of an RTD-Based Flowsheet Modeling Framework for the Assessment of In-Process Control Strategies

Tian

Koolivand

et al. 2021

AAPS PharmSciTech

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Continuous manufacturing (CM) is an emerging technology which can improve pharmaceutical manufacturing and reduce drug product quality issues. One challenge that needs to be addressed when adopting CM technology is material traceability through the entire continuous process, which constitutes one key aspect of control strategy. Residence time distribution (RTD) play an important role in material traceability as it characterizes the material spreading through the process. The propagation of upstream disturbances could be predictively tracked through the entire process by convolution of the disturbance and the RTD. The present study sets up the RTD-based modeling framework in a commonly used process modeling environment, gPROMS, and integrates it with existing modules and built-in tools (e.g. parameter estimation). Concentration calculations based on the convolution integral requires access to historical stream property information, which is not readily available in flowsheet modeling platforms. Thus, a novel approach is taken whereby a partial differential equation is used to propagate and store historical data as the simulation marches forward in time. Other stream properties not modeled by an RTD are determined in auxiliary modules. To illustrate the application of the framework, an integrated RTD-auxiliary model for a continuous direct compression manufacturing line was developed. An excellent agreement was found between the model predictions and experiments. The validated model was subsequently used to assess in-process control strategies for feeder and material traceability through the process. Our simulation results show the employed modeling approach facilitates risk-based assessment of the continuous line by promoting our understanding on the process.

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Section: Introductionmentioning

confidence: 99%

Development of an RTD-Based Flowsheet Modeling Framework for the Assessment of In-Process Control Strategies

Tian

Koolivand

et al. 2021

AAPS PharmSciTech

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Surface discretization considerations for the boundary-element method applied to three-dimensional ellipsoidal particles in Stokes flow

et al. 2021

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The boundary-element method has often been used for simulating particle motion in Stokes flow, yet there is a scarcity of quantitative studies examining local errors induced by meshing highly elongated particles. In this paper, we study the eigenvalues and eigenfunctions of the double layer operator for an ellipsoid in an external linear or quadratic flow. We examine the local and global errors induced by changing the interpolation order of the geometry (flat or curved triangular elements) and the interpolation order of the double layer density (piecewise-constant or piecewise-linear over each element). Our results show that local errors can be quite large even when the global errors are small, prompting us to examine the distribution of local errors for each parameterization. Interestingly, we find that increasing the interpolation orders for the geometry and the double layer density does not always guarantee smaller errors. Depending on the nature of the meshing near high curvature regions, the number of high aspect ratio elements, and the flatness of the particle geometry, a piecewise-constant density can exhibit lower errors than piecewise-linear density, and there can be little benefit from using curved triangular elements. Overall, this study provides practical insights on how to appropriately discretize and parameterize three-dimensional boundary-element simulations for elongated particles with prolate-like and oblate-like geometries.

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Capsule Migration and Deformation in a Converging Micro-Capillary

Wang

Dimitrakopoulos

2021

Processes

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The lateral migration of elastic capsules towards a microchannel centerline plays a major role in industrial and physiological processes. Via our computational investigation, we show that a constriction connecting two straight microchannels facilitates the lateral capsule migration considerably, which is relatively slow in straight channels. Our work reveals that the significant cross-streamline migration inside the constriction is dominated by the strong hydrodynamic forces due to the capsule size. However, in the downstream straight channel, the increased interfacial deformation at higher capillary numbers or a lower viscosity ratio and lower membrane hardness results in increased lateral cross-streamline migration. Thus, our work highlights the different migration mechanisms occurring over curved and straight streamlines.

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Motion of an Elastic Capsule in a Trapezoidal Microchannel under Stokes Flow Conditions

Cited by 3 publications

References 63 publications

Development of an RTD-Based Flowsheet Modeling Framework for the Assessment of In-Process Control Strategies

Development of an RTD-Based Flowsheet Modeling Framework for the Assessment of In-Process Control Strategies

Surface discretization considerations for the boundary-element method applied to three-dimensional ellipsoidal particles in Stokes flow

Capsule Migration and Deformation in a Converging Micro-Capillary

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