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Viscous fingers in the lifting Hele-Shaw cell form a hierarchical pattern due to competition between growing fingers in a converging geometry. If the defending fluid is visco-plastic, a permanent three-dimensional pattern is formed, which…

软凝聚态物质 · 物理学 2007-05-23 T Dutta , S Kabiraj , S Tarafdar

Geometric evolution represents a fundamental aspect of many physical phenomena. In this paper we consider the geometric evolution of structures that undergo topological changes. Topological changes occur when the shape of an object evolves…

软凝聚态物质 · 物理学 2019-06-11 James E. McClure , Steffen Berg , Ryan T. Armstrong

The invasion of one fluid into another of higher viscosity in a quasi-two dimensional geometry typically produces complex fingering patterns. Because interfacial tension suppresses short-wavelength fluctuations, its elimination by using…

流体动力学 · 物理学 2015-06-23 Irmgard Bischofberger , Radha Ramachandran , Sidney R. Nagel

The displacement of a fluid by another less viscous one in a quasi-two dimensional geometry typically leads to complex fingering patterns. In an isotropic system, dense-branching growth arises, which is characterized by repeated…

流体动力学 · 物理学 2021-01-19 Qing Zhang , Amin Amooie , Martin Z. Bazant , Irmgard Bischofberger

The finger-like branching pattern that occurs when a less viscous fluid displaces a more viscous one confined between two parallel plates has been widely studied as a classical example of a mathematically-tractable hydrodynamic instability…

软凝聚态物质 · 物理学 2007-12-13 Xiang Cheng , Lei Xu , Aaron Patterson , Heinrich M. Jaeger , Sidney R. Nagel

The effect of heterogeneities induced by highly permeable fracture networks on viscous miscible fingering in porous media is examined using high-resolution numerical simulations. We consider the planar injection of a less viscous fluid into…

流体动力学 · 物理学 2023-09-12 Runar Lie Berge , Inga Berre , Eirik Keilegavlen , Jan Martin Nordbotten

A hierarchy of mathematical models describing viscosity-stratified flow in a Hele-Shaw cell is constructed. Numerical modelling of jet flow and development of viscous fingers with the influence of inertia and friction is carried out.…

流体动力学 · 物理学 2016-03-22 Alexander Chesnokov , Valery Liapidevskii

We investigate the dynamics of viscous fingering (VF) in miscible slices in homogeneous, isotropic porous media. The fluid flow is governed by incompressible Darcy's law, whereas the solute transport is described using an…

流体动力学 · 物理学 2026-04-13 Mijanur Rahaman , Jiten C. Kalita , Satyajit Pramanik

During the spreading of epithelial tissues, the advancing tissue front often develops fingerlike protrusions. Their resemblance to traditional viscous fingering patterns in driven fluids suggests that epithelial fingers could arise from an…

生物物理 · 物理学 2019-03-05 Ricard Alert , Carles Blanch-Mercader , Jaume Casademunt

We investigate the behavior of drainage displacements in heterogeneous porous media finding a transition from viscous fingering to foam-like region. A pore network model incorporating the formation of blobs is adopted to study this…

软凝聚态物质 · 物理学 2023-07-26 Federico Lanza , Santanu Sinha , Alex Hansen , Alberto Rosso , Laurent Talon

We present in this paper a new approach for hand gesture analysis that allows digit recognition. The analysis is based on extracting a set of features from a hand image and then combining them by using an induction graph. The most important…

计算机视觉与模式识别 · 计算机科学 2009-06-30 Ahmed Ben Jmaa , Walid Mahdi , Yousra Ben Jemaa , Abdelmajid Ben Hamadou

We derive a course grained, continuum model of the 2D vertex model, applicable for different underlying geometries, and allowing for analytical analysis of an otherwise numerical model. Using a geometric approach and out--of--equilibrium…

软凝聚态物质 · 物理学 2022-08-31 Doron Grossman , Jean-Francois Joanny

Our experiments on viscous (Saffman-Taylor) fingering in Hele-Shaw channels reveal several phenomena that were not observed in previous experiments. At low flow rates, growing fingers undergo width fluctuations that intermittently narrow…

软凝聚态物质 · 物理学 2009-11-07 Mitchell G. Moore , Anne Juel , John M. Burgess , W. D. McCormick , Harry L. Swinney

We analyze experimental data on double diffusive convection in an electrochemical cell in the finger regime. All fingers in the experiments are bounded on at least one end by a solid wall. The properties of these fingers are compared with…

流体动力学 · 物理学 2025-02-19 A. Rosenthal , A. Tilgner

The displacement of a viscous liquid by a gas within a Hele-Shaw cell is a classical problem. The gas-liquid interface is hydrodynamically unstable, forming striking finger-like patterns that have attracted research interest for decades.…

流体动力学 · 物理学 2023-12-01 Callum Cuttle , Liam C. Morrow , Christopher W. MacMinn

The displacement of a viscous fluid by an air bubble in the narrow gap between two parallel plates can readily drive complex interfacial pattern formation known as viscous fingering. We focus on a modified system suggested recently by [1],…

斑图形成与孤子 · 物理学 2019-03-06 Christian Vaquero-Stainer , Matthias Heil , Anne Juel , Draga Pihler-Puzovic

Two laboratory scale experiments of dry and under-water avalanches of non-cohesive granular materials are investigated. We trigger solitary waves and study the conditions under which the front is transversally stable. We show the existence…

软凝聚态物质 · 物理学 2009-11-11 F. Malloggi , J. Lanuza , B. Andreotti , E. Clément

From infancy to adulthood, human growth is anisotropic, much more along the proximal-distal axis (height) than along the medial-lateral axis (width), particularly at extremities. Detecting and modeling the rate of anisotropy in fingerprint…

应用统计 · 统计学 2018-01-22 Karla Markert , Karolin Krehl , Carsten Gottschlich , Stephan F. Huckemann

Immiscible fluid-fluid displacement in porous media is of great importance in many engineering applications, such as enhanced oil recovery, agricultural irrigation, and geologic CO2 storage. Fingering phenomena, induced by the interface…

流体动力学 · 物理学 2021-03-31 Si Suo , Yixiang Gan

When a fluid is pumped into a cavity in a confined elastic layer, at a critical pressure, destabilizing fingers of fluid invade the elastic solid along its meniscus (Saintyves, Dauchot, and Bouchaud, 2013). These fingers occur without…

软凝聚态物质 · 物理学 2015-06-11 J. S. Biggins , Z. Wei , L. Mahadevan