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ISSN Druckformat: 1543-1649
ISSN Online: 1940-4352
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RANDOM WALK-BASED STOCHASTIC MODELING OF DIFFUSION IN SPHERICAL AND ELLIPSOIDAL COMPOSITES
ABSTRAKT
Diffusion in randomly dispersed, spherical, and ellipsoidal composite systems is studied using the random walk simulations. The outcome of the computational analysis is validated by finite element analyses. A Monte Carlo scheme is applied to generate the particulate system. The composite is assumed to have a lower diffusivity in the inclusions and a higher diffusivity in the matrix. The effective diffusion coefficient is found to agree with the theory relating volume fractions of permeable and impermeable inclusions to the diffusion coefficient. The effect of the particle aspect ratio is investigated numerically and compared with the closed-form, effective medium solutions. In the case of ellipsoidal inclusions, it is found that the effective diffusion coefficient is strongly dependent on the particle aspect ratio and that it rapidly decreases with the volume fraction of inclusions. The interfacial effect in the setting of anomalous diffusion for permeable systems is also tentatively investigated.
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