標題: | Rotationally induced fingering patterns in a two-dimensional heterogeneous porous medium |
作者: | Chen, Ching-Yao Lin, Ting-Shiang Miranda, Jose A. 機械工程學系 Department of Mechanical Engineering |
公開日期: | 4-十一月-2016 |
摘要: | Rotating fluid flows under two-dimensional homogeneous porous media conditions (or in a rotating Hele-Shaw cell) reveal the development of complex interfacial fingering patterns. These pattern-forming structures are characterized by the occurrence of finger competition events, finger pinch-off episodes, as well as by the production of satellite droplets. In this work, we use intensive numerical simulations to investigate how these fully nonlinear pattern growth phenomena are altered by the presence of permeability heterogeneities in the rotating porous medium. This is done by employing a diffuse-interface Darcy-Cahn-Hilliard description of the problem and considering a permeability field presenting a log-Gaussian distribution, characterized by a variance s and a correlation length l. We study how the heterogeneity measures s and l couple to the governing hydrodynamic dimensionless parameters of the problem and introduce important changes on the pattern formation dynamics of the system. |
URI: | http://dx.doi.org/10.1103/PhysRevE.94.053105 http://hdl.handle.net/11536/132606 |
ISSN: | 2470-0045 |
DOI: | 10.1103/PhysRevE.94.053105 |
期刊: | PHYSICAL REVIEW E |
Volume: | 94 |
Issue: | 5 |
起始頁: | 0 |
結束頁: | 0 |
顯示於類別: | 期刊論文 |