Abstract Submitted for the DFD10 Meeting of The American Physical Society Unstable miscible displacements in Hele-Shaw cells: Three- dimensional Navier-Stokes simulations1 RAFAEL OLIVEIRA, ECKART

Content Provider	Semantic Scholar
Author	Oliveira, Rafael Silva
Copyright Year	2012
Abstract	Submitted for the DFD10 Meeting of The American Physical Society Unstable miscible displacements in Hele-Shaw cells: Threedimensional Navier-Stokes simulations1 RAFAEL OLIVEIRA, ECKART MEIBURG, UC Santa Barbara — We simulate unstable miscible displacements in Hele-Shaw cells based on the three-dimensional, variable viscosity Navier-Stokes equations coupled to a convection-diffusion equation for the concentration field. The simulations exhibit the formation of individual, quasisteady fingers whose properties are characterized as a function of the viscosity ratio and the Peclet number. We observe both traditional tip splitting events, as well as a novel inner splitting mechanism that has not yet been reported in the literature. This tip splitting is associated with fluid transport perpendicular to the plane of the Hele-Shaw cell, and hence cannot be reproduced by gap-averaged approaches. It has the effect of splitting the trailing sections of the finger longitudinally, while the finger tip can largely remain intact. 1This work is supported by NSF, CAPES and a Fulbright fellowship. Eckart Meiburg UC Santa Barbara Date submitted: 06 Aug 2010 Electronic form version 1.4
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Language	English
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