2007/06/15 by Maciej Matyka, Zbigniew Koza
Engineering · Mathematics · Physics and Astronomy · #Anomalous diffusion #Diffusion #Front (military) #Front velocity #Geometric Analysis and Curvature Flows #Heat and Mass Transfer in Porous Media #Navier-Stokes equation solutions #Porosity #Porous medium #physics.class-ph #physics.flu-dyn
paper · pdf · doi:10.1088/0022-3727/40/13/026
published as J. Phys. D: Appl. Phys. 40, 4078-4083 (2007)
openalex publication_date 2007/06/15 · arxiv created 2007/07/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We analyse spreading of a density front in the Küntz–Lavallée model of porous media. In contrast to previous studies, where unusual properties of the front were attributed to anomalous diffusion, we find that the front evolution is controlled by normal diffusion and hydrodynamic flow, the latter being responsible for apparent enhancement of the front propagation speed. Our finding suggests that results of several recent experiments on porous media, where anomalous diffusion was reported based on the density front propagation analysis, should be reconsidered to verify the role of a fluid flow.