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We study the dynamics of two air bubbles driven by the motion of a suspending viscous fluid in a Hele-Shaw channel with a small elevation along its centreline via physical experiment and numerical simulation of a depth-averaged model. For a…

Fluid Dynamics · Physics 2022-08-24 J. S. Keeler , A. Gaillard , J. Lawless , A. B. Thompson , A. Juel , A. Hazel

We investigate the hydrodynamics of the interaction of two supersonic winds in binary systems. The collision of the winds creates two shocks separated by a contact discontinuity. The overall structure depends on the momentum flux ratio eta…

Solar and Stellar Astrophysics · Physics 2015-05-30 Astrid Lamberts , Sebastien Fromang , Guillaume Dubus

The early-time interface instabilities in high intensity (high Weber number and high Reynolds number) aero-breakup of a liquid drop are investigated by numerical simulations. A combined analysis based on simulation results and…

Fluid Dynamics · Physics 2014-07-07 X. Y. Hu , N. A. Adams

The linear dynamics and instability mechanisms of double-layered weakly viscoelastic fluid flowing over an inclined plane are analyzed in the presence of insoluble surfactant at both the free surface and interface. The constitutive equation…

Fluid Dynamics · Physics 2025-10-07 Md. Mouzakkir Hossain , Mohamin B. M. Khan , Youchuang Chao

A linear stability analysis of the hydrodynamic equations with respect to the homogeneous cooling state is carried out to identify the conditions for stability as functions of the wave vector, the dissipation, and the density. In contrast…

Statistical Mechanics · Physics 2009-11-11 Vicente Garzo

We consider the stability of clouds surrounded by a hotter confining medium with respect to which they are in motion, against Kelvin-Helmholtz instabilities (KHI). In the presence of cooling, sound waves are damped by dissipation. Whenever…

Astrophysics · Physics 2009-10-30 Mario Vietri , Andrea Ferrara , Francesco Miniati

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

In this paper, thermocapillary migration of a planar droplet at moderate and large Marangoni numbers is investigated analytically and numerically. By using the dimension-analysis method, the thermal diffusion time scale is determined as the…

Fluid Dynamics · Physics 2017-05-30 Zuo-Bing Wu

The stability of a thin liquid film bounded by two free surfaces is examined in the presence of insoluble surface active agents. The surface active agents not only cause gradients in surface tension, but could also render surface viscosity…

Progress in particle physic leads to increasing in detector luminosity and a consequent increasing overheating induced by Joule effect. An effective cooling strategy is the exploitation of CO\textsubscript{2} heat latency in phase-change.…

Mathematical Physics · Physics 2026-03-25 G. Cantini , G. Arnone , F. Capone , J. A. Gianfrani , M. Carnevale

In this fluid dynamics video, we study a two-phase flow in an elastic Hele-Shaw cell that involves two distinct fluid- and solid-based instabilities: viscous fingering and sheet buckling. We show that the relative importance of the two…

Fluid Dynamics · Physics 2013-10-14 Draga Pihler-Puzović , Anne Juel , Matthias Heil

Kelvin-Helmholtz instability (KHI) is widely spread in nature on scales from micrometer up to Galactic one. This instability refers to the growth of perturbation of an interface between two parallel streams of Newtonian fluids with…

Fluid Dynamics · Physics 2021-09-15 Narsing K. Jha , Victor Steinberg

Using a new numerical code we have carried out two-dimensional simulations of the nonlinear evolution of unstable sheared magnetohydrodynamic flows. We considered two cases: a strong magnetic field (Alfven Mach number, M_a = 2.5) and a weak…

Astrophysics · Physics 2009-10-28 Adam Frank , T. W. Jones , Dongsu Ryu , Joseph B. Gaalaas

This study investigates the radial centering of gas bubbles within a buoyant plume of ethanol injected into a co-flowing water sheath flow in a vertical capillary. Bubbles nucleate in the ethanol stream due to CO$_2$ supersaturation and…

Fluid Dynamics · Physics 2026-02-23 Tobias Baier , Steffen Bisswanger , Sebastian Dehe , Steffen Hardt

We investigate a non-isothermal diffuse-interface model that describes the dynamics of two-phase incompressible flows with thermo-induced Marangoni effect. The governing PDE system consists of the Navier--Stokes equations coupled with…

Analysis of PDEs · Mathematics 2023-07-28 Hao Wu

The Kelvin-Helmholtz instability is well-known in classical hydrodynamics, where it explains the sudden emergence of interfacial surface waves as a function of the velocity of flow parallel to the interface. It can be carried over to the…

Superconductivity · Physics 2019-02-13 V. B. Eltsov , A. Gordeev , M. Krusius

We investigate the linear instability of two-layer stratified shear flows in a sloping two-dimensional channel, subject to non-zero longitudinal gravitational forces. We reveal three previously unknown instabilities, distinct from the…

Fluid Dynamics · Physics 2023-09-20 Lu Zhu , Amir Atoufi , Adrien Lefauve , Rich R. Kerswell , P. F. Linden

The combined effects of buoyancy-driven Rayleigh-B\'{e}nard convection (RC) and surface tension-driven Marangoni convection (MC) are studied in a triple-layer configuration which serves as a simplified model for a liquid metal battery…

Fluid Dynamics · Physics 2017-05-31 Thomas Köllner , Thomas Boeck , Jörg Schumacher

The Marangoni flow induced by an insoluble surfactant on a fluid-fluid interface is a fundamental problem investigated extensively due to its implications in colloid science, biology, the environment, and industrial applications. Here, we…

Fluid Dynamics · Physics 2024-11-20 Fernando Temprano-Coleto , Howard A. Stone

We have studied the kinetic roughening of an oil--air interface in a forced imbibition experiment in a horizontal Hele--Shaw cell with quenched disorder. Different disorder configurations, characterized by their persistence length in the…

Disordered Systems and Neural Networks · Physics 2009-11-07 Jordi Soriano , Jordi Ortin , Aurora Hernandez-Machado