A review of one-phase Hele-Shaw flows and a level-set method for nonstandard configurations
The classical model for studying one-phase Hele-Shaw flows is based on a highly nonlinear
moving boundary problem with the fluid velocity related to pressure gradients via a Darcy …
moving boundary problem with the fluid velocity related to pressure gradients via a Darcy …
Numerical investigation of controlling interfacial instabilities in non-standard Hele-Shaw configurations
Viscous fingering experiments in Hele-Shaw cells lead to striking pattern formations which
have been the subject of intense focus among the physics and applied mathematics …
have been the subject of intense focus among the physics and applied mathematics …
Dynamics of liquids with high viscosity contrast in unevenly rotating Hele-Shaw cell
V Kozlov, M Petukhova… - … Transactions of the …, 2023 - royalsocietypublishing.org
The paper is devoted to the experimental study of the dynamics of an interface between two
liquids with high viscosity contrast filling a vertical, circular narrow gap rotating about a …
liquids with high viscosity contrast filling a vertical, circular narrow gap rotating about a …
Effect of the density ratio on the oscillatory Saffman–Taylor instability in vertical conical Hele–Shaw cell
The stability of an oscillating interface between two immiscible liquids with a high viscosity
contrast in an axisymmetric conical Hele–Shaw cell in dependence on the density ratio is …
contrast in an axisymmetric conical Hele–Shaw cell in dependence on the density ratio is …
Control of interfacial instabilities through variable injection rate in a radial Hele-Shaw cell: A nonlinear approach for late-time analysis
In this paper, the nonlinear behavior of immiscible viscous fingering in a circular Hele-Shaw
cell under the action of different time-dependent injection flow rate schemes is assessed …
cell under the action of different time-dependent injection flow rate schemes is assessed …
Time-dependent injection strategies for multilayer Hele-Shaw and porous media flows
We use linear stability analysis to demonstrate how to stabilize multilayer radial Hele-Shaw
and porous media flows with a time-dependent injection rate. Sufficient conditions for an …
and porous media flows with a time-dependent injection rate. Sufficient conditions for an …
Experimental and analytical approaches toward controlling viscous fingering at the interface of two immiscible fluids using the optimal constant piecewise injection …
Viscous fingering (VF) at the interface of two immiscible fluids can have disruptive effects in
many technological applications. Therefore finding methods for reducing it with an effective …
many technological applications. Therefore finding methods for reducing it with an effective …
Viscous fingering patterns for Hele-Shaw flow in a doubly connected geometry driven by a pressure differential or rotation
Traditional mathematical models of Hele-Shaw flow consider the injection (or withdrawal) of
an air bubble into (or from) an infinite body of viscous fluid. The most commonly studied …
an air bubble into (or from) an infinite body of viscous fluid. The most commonly studied …
[HTML][HTML] Non-linear effects in a closed rotating radial Hele-Shaw cell
ASS Paiva, SHA Lira, RFS Andrade - AIP Advances, 2019 - pubs.aip.org
This work reports high precise Computational Fluid Dynamics results for interface patterns
for an incompressible binary fluid system in a rotating circular Hele-Shaw cell. In the initial …
for an incompressible binary fluid system in a rotating circular Hele-Shaw cell. In the initial …
A numerical investigation of Darcy-type moving boundary problems
LC Morrow - 2020 - eprints.qut.edu.au
We investigate the development of interfacial instabilities and singularities that occur in
solutions to Darcy-type moving boundary problems. We present a robust numerical scheme …
solutions to Darcy-type moving boundary problems. We present a robust numerical scheme …