Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Three-dimensional Navier-Stokes simulations of the displacement flow between miscible fluids with nonmonotonic viscosity profiles
Submission Author:
Rafael Menezes de Oliveira , RJ , Brazil
Co-Authors:
Bruno Jorge Macedo dos Santos, Rafael Menezes de Oliveira
Presenter: Bruno Jorge Macedo dos Santos
doi://10.26678/ABCM.COBEM2023.COB2023-0920
Abstract
Displacements in Hele-Shaw cells, popular as models for corresponding porous media flows, have revealed a wealth of information about viscously and gravitationally driven instabilities. In particular, they have provided fundamental insight into the viscous fingering phenomenon and associated issues of pattern formation. The viscous fingering instabilities are undesirable in many applications as they result in early breakthroughs and reduce the efficiency of the displacement process. It turns out that efficiency can be improved by controlling the mixing length and growth rate of the fingered zone. The present work performs Direct Numerical Simulations by solving the three-dimensional Navier-Stokes equations with variable viscosity to describe displacements in Hele-Shaw cells between miscible fluids with a nonmonotonic viscosity correlation. These correlations are expected to develop reduced mixing lengths when compared to the standard exponential correlation. We investigate shear displacement flows across the gap and reproduce the linear stability results based on the 3D Stokes equations, setting the ground to extend the analysis into the nonlinear fingering regime to carefully capture morphological details of the interfacial structures and calculate displacement efficiencies.
Keywords
viscous fingering, Three-dimensional flows, Direct numerical simulation (DNS), Hele-Shaw cell
