Bulletin of the American Physical Society
77th Annual Meeting of the Division of Fluid Dynamics
Sunday–Tuesday, November 24–26, 2024; Salt Lake City, Utah
Session R20: Flow Instability: Fingering and Displacement |
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Chair: Zhaorui Li, Texas A&M University-Corpus Christi Room: 250 D |
Monday, November 25, 2024 1:50PM - 2:03PM |
R20.00001: Controlling pattern formation in single hole lifted Hele-Shaw cells David Roughton, Prashant Agrawal, Vincent Barrioz A Hele-Shaw cell consists of a liquid sandwiched between two parallel plates at a fixed separation distance. When one plate is lifted from the other, a pressure differential is created, forcing ambient air into the liquid. As the liquid recedes, a Saffman-Taylor instability develops at the liquid-air interface. This leads to the evolution of long fingers, leaving a branched liquid pattern behind [1]. Control over the branching pattern can be achieved by strategically introducing asymmetry in one of the plates and controlling air entry points, for example, through the addition of holes [2]. By controlling the path of air in the Hele-Shaw cell, the pattern formed can be controlled. |
Monday, November 25, 2024 2:03PM - 2:16PM |
R20.00002: Delayed instability and smoothed gap profile under translational oscillatory shear in viscous fingering Zhaoning Liu, Samar Alqatari, Thomas E Videbaek, Sidney R Nagel In confined geometries, the interface between two fluids becomes unstable when a less viscous fluid displaces a more viscous one. This leads to the formation of finger-like protrusions, called the viscous fingering instability. This study uses a radial Hele-Shaw cell as the confining geometry and investigates the role of the profile of the fluid across the gap on this instability. We perturb the profile by introducing uniaxial translational oscillatory shear to the plates while injecting the less viscous, miscible fluid from the center. In the direction parallel to the shear axis, the gradient of the gap-averaged viscosity profile at the interface tip initially remains constant, and then drops to a lower constant value. The new value becomes smaller as the shear amplitude increases and the radius at which this gradient decays varies inversely with the shear speed. We find that together with the reduction of the gap-averaged viscosity gradient, increasing shear speed or shear amplitude also delays the onset of fingering and reduces the growth rate of fingers. The uniaxial shear breaks the symmetry between the directions parallel and perpendicular to the shear axis. The finger growth rate differs between these two directions and there is a larger onset radius and finger width in the perpendicular direction compared to the parallel one. |
Monday, November 25, 2024 2:16PM - 2:29PM |
R20.00003: ABSTRACT WITHDRAWN
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Monday, November 25, 2024 2:29PM - 2:42PM |
R20.00004: Three-dimensional Navier-Stokes simulations of miscible fingering with nonmonotonic viscosity profiles Rafael M Oliveira, Bruno Jorge M Santos We investigate the influence of nonmonotonic viscosity-concentration correlations on the growth of viscous fingers in a Hele-Shaw cell by solving the variable viscosity Navier-Stokes equations coupled to a convection-diffusion equation for a scalar field that captures the concentration of the displaced fluid. We examine shear displacement flows across the Hele-Shaw plates. Then, by imposing a small amplitude perturbation of the most unstable wavelength, the nonlinear algorithm reproduces linear growth rate results obtained using the three-dimensional Stokes equations (Schafroth et al., Eur. J. Mech. B Fluids, 2007). Finally, we present results from the three-dimensional nonlinear simulations and compare fingers growing under the nonmonotonic correlation with those following the traditional exponential relationship. |
Monday, November 25, 2024 2:42PM - 2:55PM |
R20.00005: Abstract Withdrawn
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Monday, November 25, 2024 2:55PM - 3:08PM |
R20.00006: Abstract Withdrawn
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Monday, November 25, 2024 3:08PM - 3:21PM |
R20.00007: Exploiting the interplay of diffusion, advection, and gel formation to manipulate viscous fingering patterns in non-Newtonian fluids Matthew Coughlin, Andrew C Goering, Evan Dakov, Xiaoyu Tang Viscous fingering instability has been extensively studied when both the low viscosity displacing fluid and high viscosity displaced fluid are Newtonian. We have found that characteristic patterns in constant-viscosity viscoelastic (Boger) fluids are distinct from the Newtonian case. Experiments at various flow rates and Hele-Shaw cell thicknesses reveal that pattern formation is controlled by the competition between advection and diffusion. These findings are applied to demonstrate a new and simple approach to control finger pattern formation without modification to the flow geometry or fluid rheology. We conclude by using solutions of sodium alginate, a polymer which displays Boger rheology but forms a gel in the presence of a calcium cross-linker, to probe the impact of gel formation on viscous fingering patterns. The collective results present a new avenue to study viscous fingering instability in non-Newtonian fluids found in manufacturing, environmental, and biological processes. |
Monday, November 25, 2024 3:21PM - 3:34PM |
R20.00008: Interface shape and wetting transition during fluid-fluid displacement in a capillary tube: laboratory experiments and bifurcation analysis Yu Qiu, Bauyrzhan K Primkulov, Amir A Pahlavan, Ruben Juanes The displacement of one fluid by another immiscible fluid in a confined geometry is a key physical process in many natural and industrial settings, from geological CO2 sequestration to microfluidics. One fundamental aspect of fluid-fluid displacement on a solid surface is the shape of the moving interface, characterized by the dynamic contact angle θd. |
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