Rotating fluid flows under two-dimensional homogeneous porous media conditions (or in a rotating Hele-Shaw cell) reveal the development of complex interfacial fingering patterns. These pattern-forming structures are characterized by the occurrence of finger competition events, finger pinch-off episodes, as well as by the production of satellite droplets. In this work, we use intensive numerical simulations to investigate how these fully nonlinear pattern growth phenomena are altered by the presence of permeability heterogeneities in the rotating porous medium. This is done by employing a diffuse-interface Darcy-Cahn-Hilliard description of the problem and considering a permeability field presenting a log-Gaussian distribution, characterized by a variance s and a correlation length l. We study how the heterogeneity measures s and l couple to the governing hydrodynamic dimensionless parameters of the problem and introduce important changes on the pattern formation dynamics of the system.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.94.053105 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Mobilization of DNAPL lenses in heterogeneous aquifers using shear-thinning PEO polymers: Experimental and numerical study.
Water Res
December 2024
BRGM (French Geological Survey), Orléans 45060, France.
Polymer solution injection has emerged as a promising method for the remediation of NAPL (non-aqueous phase liquids)-contaminated aquifers. This technique enhances recovery efficiency by modifying viscous forces, stabilizing the displacement front, and minimizing channeling effects. However, there remains a significant gap in understanding the behavior of polymer solutions, particularly those with different molecular weights (MW), for mobilizing DNAPL (dense non-aqueous phase liquids) trapped in heterogeneous aquifers, especially within low-permeability layers.
View Article and Find Full Text PDFQuantification of social motility indicates different colony growth phases.
J R Soc Interface
December 2024
Center for Computational and Theoretical Biology, Julius-Maximilians-Universität Würzburg, Biocenter, Klara-Oppenheimer-Weg 32, Würzburg 97074, Germany.
colonies of the flagellated parasite exhibit characteristic fingering instability patterns. To enable data-driven and data-validated mechanistic modelling of these complex growth processes, it is crucial to first establish appropriate quantitative metrics beyond qualitative image comparisons. We present a quantification approach based on two scale-free metrics designed to characterize the shape of two-dimensional colonies.
View Article and Find Full Text PDFFlow-driven pattern formation during coacervation of xanthan gum with a cationic surfactant.
Phys Chem Chem Phys
December 2024
Institute of Fluid Dynamics, Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstr. 400, 01328 Dresden, Germany.
We experimentally demonstrate that the coacervation of a biopolymer can trigger a hydrodynamic instability when a coacervate is formed upon injection of a xanthan gum dispersion into a cationic surfactant (CTAB) solution. The local increase of the viscosity due to the coacervate formation induces a viscous fingering instability. Three characteristic displacement regimes were observed: a viscous fingering dominated regime, a buoyancy-controlled "volcano" regime and a "fan"-like regime determined by the coacervate membrane dynamics.
View Article and Find Full Text PDFCharacterization of dynamic interplay among different channels during immiscible displacement in porous media under different flow rates.
Eur Phys J E Soft Matter
December 2024
School of Human Settlements and Civil Engineering, Xi'an Jiaotong University, Xi'an, 710049, China.
Although immiscible displacement in porous media has been extensively studied, a more comprehensive analysis of the underlying dynamic behaviors is still necessary. In this work, we conducted experimental and theoretical analyses on the dynamic interplay among channels during immiscible displacement under varying flow rates. In a rock-structured microfluidic chip, we observed typical displacement patterns, including viscous fingering and capillary fingering, and analyzed their frontiers and efficiencies.
View Article and Find Full Text PDFComparison of velocity field characteristics of gas invasion viscous fingering and elastic fracturing in visco-elasto-plastic fluids.
Soft Matter
December 2024
College of Civil Engineering and Architecture, Zhejiang University, 866 Yuhangtang Rd., Hangzhou, 310058, Zhejing, China.
Article Synopsis
- The study examines how compressed nitrogen gas interacts with a complex fluid, magnesium lithium phyllosilicate (MLPS), through phenomena known as viscous fingering (VF) and elastic fracture (EFr) in a controlled environment designed as a Hele-Shaw cell.
- Viscous fingering primarily results in finger-like structures where gas invasion affects a confined region, with a notable velocity distribution featuring a larger component parallel to the growth direction; conversely, elastic fracture entails a larger disturbed area with a more complex velocity distribution around the bubble.
- The research emphasizes the differences in the velocity fields of VF and EFr, proposing quantitative indicators to measure characteristics such as the affected area ratio and velocity
Want AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!