Three-Dimensional Vorticity Configurations in Miscible Hele-Shaw Displacements

TitleThree-Dimensional Vorticity Configurations in Miscible Hele-Shaw Displacements
Publication TypeJournal Article
Year of Publication2013
AuthorsOliveira RM, Meiburg E
JournalProcedia IUTAM
Volume7
Start Page203
Pagination203–212
Date Published01/2013
ISSN22109838
KeywordsCNSI, 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.

URLhttp://www.sciencedirect.com/science/article/pii/S2210983813000485
DOI10.1016/j.piutam.2013.03.024
Grant: 
MRI, CSC