Anomalous Transport in Fractal Media with Randomly Inhomogeneous Diffusion Barrier

Autor:	Olga A. Dvoretskaya, Peter S. Kondratenko
Rok vydání:	2014
Předmět:	Matrix (mathematics) Distribution (mathematics) Fractal Materials science Diffusion barrier Condensed matter physics Homogeneous Anomalous diffusion General Chemical Engineering Characteristic matrix Diffusion (business) Catalysis
Zdroj:	Transport in Porous Media. 103:325-339
ISSN:	1573-1634 0169-3913
DOI:	10.1007/s11242-014-0303-x
Popis:	We investigate a contaminant transport in fractal media with randomly inhomogeneous diffusion barrier. The diffusion barrier is a low-permeable matrix with rare high-permeability pathways (punctures). At times, less than a characteristic matrix diffusion time, the problem is effectively barrier-free, where an effective source acts during the time $$t_\mathrm{eff} \ll t$$ . The punctures result in a precursor contaminant concentration at short times and additional stage of the asymptotic concentration distribution at long times. If the source surface area is large enough, then the barrier can be considered as statistical homogeneous medium; otherwise, strong fluctuations occur.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c8fe4a6b7f0ad305b8deb3202541a525 https://doi.org/10.1007/s11242-014-0303-x Zobrazit plný text záznamu Full text from SpringerLink