Flow and mass transfer around a core-shell reservoir

Kaoui, Badr

doi:10.1103/physreve.95.063310

Cited by 17 publications

(12 citation statements)

References 14 publications

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“…with D i is the diffusion coefficient in the i-th layer Ω i (any possible convection, as in Ref. [20] or reaction terms in Ω s are excluded). We set a perfect sink condition far away (see Sect.…”

Section: A General Model For Drug Release From a Multilayer Capsulementioning

confidence: 99%

Mechanistic modelling of drug release from multi-layer capsules

Kaoui

Lauricella

Pontrelli

2018

Computers in Biology and Medicine

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Section: A General Model For Drug Release From a Multilayer Capsulementioning

confidence: 99%

Mechanistic modelling of drug release from multi-layer capsules

Kaoui

Lauricella

Pontrelli

2018

Computers in Biology and Medicine

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“…For the hydrodynamic part, the computation domain consists of only two subdomains: the fluid and the obstacle, i.e., the reservoir (the core and the shell all together). However, for the mass transfer part, the domain is decomposed into three adjacent subdomains that correspond to the core Ω c , the shell Ω s and the fluid Ω f , where the solute has different diffusion coefficients [14,17]: D c in the core, D s in the shell, and D f in the fluid. Both…”

Section: Problem Setup and Computational Methodsmentioning

confidence: 99%

“…The average Sherwood number, which is computed as the integration of the local Sherwood number Eq. ( 12) over the surface of the reservoir [14],…”

Section: B Key Physical Quantitiesmentioning

confidence: 99%

“…This is an initial-value problem, for which three advection-diffusion equations need to be solved in each domain, the core, the shell and the fluid, while considering unsteady continuous mass transfer boundary conditions at both the core-shell and the shell-fluid interfaces. A two-dimensional numerical approach, based on a two-component lattice Boltzmann method (LBM), has been proposed by one of the authors to study flow and mass transfer around a single confined core-shell cylinder by decomposing the computational domain into subdomains [14]. In this previous study, mass transfer is reported as a function of the Péclet number, at a fixed Reynolds number.…”

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Unsteady mass transfer from a core-shell cylinder in crossflow

Bielinski

Kaoui

2021

Phys. Rev. Fluids

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Mass transfer from a composite cylinder -made of an inner core and an outer enveloping semipermeable shell -under channel crossflow is studied numerically using two-dimensional lattice-Boltzmann simulations. The core is initially loaded with a solute that diffuses passively through the shell towards the fluid. The cylinder internal structure and the initial condition considered in this study differ and thus complement the classical studies dealing with homogeneous uncoated cylinders whose surfaces are sustained at either constant concentration or constant mass flux. Here, the cylinder acts as a reservoir endowed with a shell that controls the leakage rate of the encapsulated solute. The transition from steady to unsteady laminar flow regime, around the cylinder, alters the released solute spatial distribution and the mass transfer efficiency, which is characterized by the Sherwood number (the dimensionless mass transfer coefficient). Moreover, the reservoir involves unsteady and continuous boundary conditions, which lead to unsteady and nonuniform distribution of both the concentration and the mass flux at the cylinder surface. The effect of adding a coating shell is highlighted, for a given ratio of the cylinder diameter to the channel width, by extracting a correlation from the computed data set. This new correlation shows explicit dependency of the Sherwood number upon the shell solute permeability (the shell mass transfer coefficient).

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“…Here, the obtained value of D m is close to 6:75 Â 10 À10 m 2 =s, which is expectedly small. The flow around the capsule induced by stirring is expected to enhance the release rate due to convection, 25,33,34 but not to significantly increase the intrinsic permeability of the capsule membrane.…”

Section: Application To Experimental Data Of Glucose Releasementioning

confidence: 99%

Numerical method to characterise capsule membrane permeability for controlled drug delivery

Bielinski

Kaoui

2021

Numer Methods Biomed Eng

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Design and characterisation of capsules is not an easy task owing to the multiple involved preparation factors and parameters. Here, a novel method to characterise capsule membrane permeability to solute molecules by an inverse approach is proposed. Transport of chemical species between the capsule core and the surrounding medium through the membrane is described by the Fick's second law with a position-dependent diffusion coefficient. Solutions are computed in spherical coordinates using a finite difference scheme developed for diffusion in multilayer configuration. They are validated using semi-analytical solutions and fully three-dimensional lattice Boltzmann simulations. As a proof of concept, the method is applied to experimental data available in the literature on the kinetics of glucose release and absorption to determine the membrane permeability of capsules. The proposed method is easy to use and determines correctly the permeability of capsule membranes for controlled drug release and absorption applications.

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Flow and mass transfer around a core-shell reservoir

Cited by 17 publications

References 14 publications

Mechanistic modelling of drug release from multi-layer capsules

Mechanistic modelling of drug release from multi-layer capsules

Unsteady mass transfer from a core-shell cylinder in crossflow

Numerical method to characterise capsule membrane permeability for controlled drug delivery

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