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The effective diffusivity for hydrogen is calculated using Eq. (19) [25].
In the previous two equations, Γ k and Γ ω represent the effective diffusivity for k and ω.
Brownian dynamics simulations indicate that the effective diffusivity for small nutrients in the scaffold, Deff= 0.3D0, where D0 is the free solution diffusivity.
The volume averaging method (VAM) is widely used for estimating the effective diffusivity for solute transport in constrained geometries (e.g., porous media).
In this paper we study the problem of the numerical calculation (by Monte Carlo methods) of the effective diffusivity for a particle moving in a periodic divergent-free velocity field, in the limit of vanishing molecular diffusion.
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The surface diffusivities determined by assuming surface diffusion control, pore diffusivities assuming pore diffusion control, and the effective diffusivities for the homogeneous model (Deff) obtained from the uptake curves varied with the concentration of the dye and the stimulator (NaCl).
This model serves as a two-dimensional solution for the effective diffusivity of dilute anisotropic structures with surface diffusion.
The simulated data through the genetic algorithm-numerical model (GA-NM) and experimental data showed a good agreement (r2 > 0.97 and MSE < 0.0016) indicating that the scheme with genetic algorithm can be effectively used for determination of the effective diffusivity of andrographolide in plant materials.
The methodology presented in this paper provides a novel, in operando and complementary alternative technique for measuring the effective diffusivity of partially saturated GDLs.
The effective diffusivity from finer scale is used for the next coarser level computation and this process is repeated up to the coarsest scale of interest.
The effective diffusivity of natural medicinal components is an important property for a detailed pharmaceutical extraction study and a proper design of the extraction process and unit.
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