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The effect of a linear adsorption isotherm on the onset of fingering instability in a miscible displacement in the application of liquid chromatography, pollutant contamination in aquifers etc. is investigated. Such fingering instability on…

Fluid Dynamics · Physics 2015-08-19 Tapan Kumar Hota , Satayajit Pramanik , Manoranjan Mishra

We perform linear stability analyses (LSA) and direct numerical simulations (DNS) to investigate the influence of the dynamic viscosity on viscous fingering (VF) instability in miscible slices. Selecting the characteristic scales…

Fluid Dynamics · Physics 2015-05-26 Satyajit Pramanik , Manoranjan Mishra

Viscous fingering patterns can form at the interface between two immiscible fluids confined in the gap between a pair of flat plates; whenever the fluid with lower viscosity displaces the one of higher viscosity the interface is unstable.…

Fluid Dynamics · Physics 2019-04-03 Thomas E. Videbæk , Sidney R. Nagel

Viscous fingering patterns form in confined geometries at the interface between two fluids as the lower-viscosity fluid displaces the one with higher viscosity. Previous studies have examined the most unstable wavelength of the patterns…

Fluid Dynamics · Physics 2021-01-04 Thomas E Videbæk

The number of splashed fingers generated by a solid projectile's impact onto a viscous liquid layer is experimentally studied. A steel sphere is dropped onto a viscous liquid pool. Then, a fingering instability occurs around the crater's…

Fluid Dynamics · Physics 2015-06-11 H. Katsuragi

Viscous fingering of a miscible high viscosity slice of fluid displaced by a lower viscosity fluid is studied in porous media by direct numerical simulations of Darcy's law coupled to the evolution equation for the concentration of a solute…

Fluid Dynamics · Physics 2023-04-12 Anne De Wit , Yann Bertho , Michel Martin

The onset of viscous fingering in the presence of a non monotonic viscosity profile is investigated theoretically for two immiscible fluids. Classical fluid dynamics predicts that no unstable behavior may be observed when a viscous fluid…

Fluid Dynamics · Physics 2024-03-18 Vicente Pérez-Muñuzuri

Viscous flows in a quasi-two-dimensional Hele-Shaw geometry can lead to an interfacial instability when one fluid, of viscosity $\eta_{in}$ displaces another of higher viscosity, $\eta_{out}$. Recent studies have shown that there is a delay…

Soft Condensed Matter · Physics 2017-04-11 Radha Ramachandran

A firm understanding and control of viscous fingering (VF) and miscible displacement will be vital to a wide range of industrial, environmental, and pharmaceutical applications, such as geological carbon-dioxide sequestration, enhanced oil…

Numerical Analysis · Mathematics 2019-07-10 M. Shabouei , K. B. Nakshatrala

We sandwich a colloidal gel between two parallel plates and induce a radial flow by lifting the upper plate at a constant velocity. Two distinct scenarios result from such a tensile test: ($i$) stable flows during which the gel undergoes a…

Soft Condensed Matter · Physics 2020-08-10 Thibaut Divoux , Asheesh Shukla , Badis Marsit , Yacouba Kaloga , Irmgard Bischofberger

When a more mobile fluid displaces another immiscible one in a porous medium, viscous fingering propagates with a partial sweep, which hinders oil recovery and soil remedy. We experimentally investigate the feasibility of tuning such…

Fluid Dynamics · Physics 2018-07-04 Gregoire Bongrand , Peichun Amy Tsai

The linear stability of miscible displacement for radial source flow at infinite P\'eclet number in a Hele-Shaw cell is calculated theoretically. The axisymmetric self-similar flow is shown to be unstable to viscous fingering if the…

Fluid Dynamics · Physics 2025-04-09 John R. Lister , Tim-Frederik Dauck

We study miscible Rayleigh-Taylor (RT) fingering instability in two-dimensional homogeneous porous media, in which the fluid density varies non-monotonically as a function of the solute concentration such that the maximum density lies in…

Fluid Dynamics · Physics 2021-09-09 Satyajit Pramanik , Manoranjan Mishra

We identify and characterize a new class of fingering instabilities in liquid metals; these instabilities are unexpected due to the large interfacial tension of metals. Electrochemical oxidation lowers the effective interfacial tension of a…

Soft Condensed Matter · Physics 2017-11-01 Collin B. Eaker , David C. Hight , John D. O'Regan , Michael D. Dickey , Karen E. Daniels

Viscous and gravitational flow instabilities cause a displacement front to break up into finger-like fluids. The detection and evolutionary analysis of these fingering instabilities are critical in multiple scientific disciplines such as…

Graphics · Computer Science 2022-02-02 Jiayi Xu , Soumya Dutta , Wenbin He , Joachim Moortgat , Han-Wei Shen

Fingering instabilities akin to the Rayleigh-Taylor (RT) instability in fluids have been observed in a binary granular system consisting of dense and small particles layered on top of lighter and larger particles, when the system is…

The convection-diffusion-reaction system governing incompressible reactive fluids in porous media is studied, focusing on the \( A + B \to C \) reaction coupled with density-driven flow. The time-dependent Brinkman equation describes the…

Analysis of PDEs · Mathematics 2025-11-20 Sahil Kundu , Surya Narayan Maharana , Manoranjan Mishra

An instability may arise when a hot viscous fluid enters a thin gap and cools through heat transfer to a colder surrounding environment. Fluids whose viscosity increases strongly upon cooling create a positive feedback in which warmer…

Fluid Dynamics · Physics 2025-12-08 Federico Lanza , Gaute Linga , Fabian Barras , Eirik Grude Flekkøy

Stably-stratified layers may be present at the top of the electrically-conducting fluid layers of many planets either because the temperature gradient is locally subadiabatic or because a stable composition gradient is maintained by the…

Earth and Planetary Astrophysics · Physics 2022-11-08 Celine Guervilly

From the mitotic spindle up to tissues and biofilms, many biological systems behave as active droplets, which often break symmetry and change shape spontaneously. Here, I show that active nematic droplets can experience a fingering…

Soft Condensed Matter · Physics 2022-06-07 Ricard Alert