Convection-diffusion transport in disordered structures: Numerical analysis based on the exit-time equation
✍ Scribed by Massimiliano Giona; Alessandra Adrover; Alessandro R. Giona
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 926 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0009-2509
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✦ Synopsis
The problem of biased diffusion in disordered media (percolation clusters) is analysed by means of the exit-time equation. Numerical simulations show that for percolation lattices tending to criticality, the volume-averaged exit time as a function of the Peclet number, Pe, deviates from the regular 1/Pe-behaviour and for high Pe grows monotonically with Pe. Numerical simulations on DLA-clusters and deterministic fractals indicate the applicability of the exit-time approach to singular fractal structures. Finally, exit-time analysis is adopted in explaining standard and non-standard features of dispersion of solute particles in highly heterogeneous porous packings.