Title | Three-Dimensional Vorticity Configurations in Miscible Hele-Shaw Displacements |
Publication Type | Journal Article |
Year of Publication | 2013 |
Authors | Oliveira RM, Meiburg E |
Journal | Procedia IUTAM |
Volume | 7 |
Start Page | 203 |
Pagination | 203–212 |
Date Published | 01/2013 |
ISSN | 22109838 |
Keywords | CNSI, CSC, FBNS01, Hele-Shaw cell, Inner splitting, Navier-Stokes simulations, NSF, Streamwise vorticity, Three-dimensional |
Abstract | Three-dimensional Navier-Stokes simulations of unstable, miscible displacements in Hele-Shaw cells are discussed. In neutrally buoyant flows, the formation of streamwise vorticity quadrupoles is shown to result in the formation of a novel inner splitting mechanism. In the presence of density differences, the interaction of these quadrupoles with a Rayleigh-Taylor instability can lead to the formation of an ‘anchor'-like structure in vertical displacements. Gravitational effects in horizontal displacements break the up/down symmetry of the flow and result in streamwise vorticity dipoles that can split the finger lengthwise. |
URL | http://www.sciencedirect.com/science/article/pii/S2210983813000485 |
DOI | 10.1016/j.piutam.2013.03.024 |
Grant:
MRI, CSC