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Hele-Shaw flow

About: Hele-Shaw flow is a research topic. Over the lifetime, 5451 publications have been published within this topic receiving 151320 citations.


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Journal ArticleDOI
TL;DR: In this article, the authors performed two-phase displacement studies in Hele-Shaw cells and found that symmetric dendritic finger patterns can form in the presence of anisotropy provided by an etched square network, for both miscible and immiscible fingers.
Abstract: Viscous fingering experiments were performed by injecting a liquid to radially displace a much more viscous liquid in a Hele-Shaw cell consisting of two parallel closely-spaced glass plates. Both smooth and etched plates were used to study the influence of plate roughness on the fingering mechanism. Effect of flow rate and interfacial tension was also demonstrated. The results show that symmetric dendritic finger patterns can form in the presence of anisotropy provided by an etched square network, for both miscible and immiscible fingers. Chaotic finger patterns can form both in a cell with smooth surfaces and in one having a network of randomly oriented channels etched on one plate. Due to interfacial tension, the immiscible finger patterns are less ramified than their miscible counterparts, are more sensitive to the flow rate and become compact as the flow rate decreases. Possible applications of two-phase displacement studies in Hele-Shaw cells are discussed, which include two-phase flow in porous media and acid fracturing of oil reservoirs.

115 citations

Journal ArticleDOI
TL;DR: In this article, a simulation of the transition from laminar to chaotic flow in converging-diverging channels is presented, where the chaotic flow regime is reached after a sequence of successive supercritical Hopf bifurcations to periodic, quasiperiodic, and chaotic self-sustained flow regimes.
Abstract: Direct numerical simulations of the transition process from laminar to chaotic flow in converging–diverging channels are presented. The chaotic flow regime is reached after a sequence of successive supercritical Hopf bifurcations to periodic, quasiperiodic, and chaotic self‐sustained flow regimes. The numerical experiments reveal three distinct bifurcations as the Reynolds number is increased, each adding a new fundamental frequency to the velocity spectrum. In addition, frequency‐locked periodic solutions with independent but synchronized periodic functions are obtained. A scenario similar to the Ruelle–Takens–Newhouse scenario of the onset of chaos is verified in this forced convective open system flow. The results are illustrated for different Reynolds numbers using time‐velocity histories, Fourier power spectra, and phase space trajectories. The global structure of the self‐sustained oscillatory flow for a periodic regime is also discussed.

114 citations

Journal ArticleDOI
TL;DR: Microscopic analysis shows that this steady, nonlinear flow regime is characterized by the development of an inertial core in the pore-level profile, i.e., at increasing Reynolds number velocity profiles in individual pores become flatter towards the center of the pores, while the velocity gradient increases close to the solid-liquid interface.

114 citations

Journal ArticleDOI
TL;DR: In this paper, an experimental study on the flow characteristics around two square cylinders in a tandem arrangement was performed, where the spacing between the centers of the cylinders ranges from 1.5 to 9 widths of the cylinder and the Reynolds number ranges from 2.0×103 to 1.6×104.

114 citations

Journal ArticleDOI
TL;DR: In this paper, the authors considered two models describing downslope flows of a Bingham liquid with different aspect ratios A = flow height/flow width: model 1 with A ⪡ 1 and model 2 with A ≈ 1.

113 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202339
202282
202120
202013
20199
201829