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We present a methodology that combines Mach-Zehnder interferometry, a custom relative humidity (RH) controlled chamber, and a confined two-dimensional droplet geometry to enable precise investigations of drying of complex fluids and the…

Fluid Dynamics · Physics 2026-03-09 Ole Milark , Jean-Baptiste Salmon , Benjamin Sobac

We investigate quasi-two-dimensional relaxation, by surface tension, of a long straight stripe of inviscid fluid trapped inside a viscous fluid in a Hele-Shaw cell. Combining analytical and numerical solutions, we describe the emergence of…

Fluid Dynamics · Physics 2009-11-11 Arkady Vilenkin , Baruch Meerson , Pavel V. Sasorov

We present a theoretical description and an experimental realization of a thermocapillary dipole induced in a Hele-Shaw cell under a steady temperature gradient. We demonstrate experimentally how several dipoles can be superposed in order…

Fluid Dynamics · Physics 2019-07-17 Valeri Frumkin , Moran Bercovici

A nearly two-dimensionnal foam is generated inside a Hele-Shaw cell half-filled with a surfactant solution. The cell is then placed vertically on a tumbler so that it rotates around its center with the cell angular velocity as the control…

Soft Condensed Matter · Physics 2014-07-01 A. Bronfort , H. Caps

Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional system of the size of $L_x\times L_y\times L_z(L_z\gg…

Statistical Mechanics · Physics 2009-10-31 Takashi Shimada , Teruyoshi Murakami , Satoshi Yukawa , Keiji Saito , Nobuyasu Ito

Various thermodynamical phenomena have occurred with change of pressure and temperature, volume. We can choose these parameters but not these constraints, in order to need the thermodynamics with physical properties in the fields of various…

Analysis of PDEs · Mathematics 2014-12-18 Jun-ichi Koga

High speed Schlieren videos were produced highlighting the fluid mechanics found in everyday objects. This video (entry 102369) was submitted as part of the Gallery of Fluid Motion 2013, which is a showcase of fluid dynamics videos.

Fluid Dynamics · Physics 2013-10-11 N. J. Parziale , J. S. Jewell , B. E. Schmidt , J. Rabinovitch , R. Dunne

Measurements of surface temperature fields are used to determine the heat transfer by conduction and convection from an inhomogeneously heated metallic tube into environment. For most of the here reported measurements we use a low-cost…

Applied Physics · Physics 2019-09-05 Samuel Jankových , Peter Bokes

In this paper, we study the dynamics of a two-dimensional viscous fluid evolving through a porous medium or a Hele-Shaw cell, driven by gravity and surface tension. A key feature of this study is that the fluid is confined within a vessel…

Analysis of PDEs · Mathematics 2026-04-09 Edoardo Bocchi , Ángel Castro , Francisco Gancedo

A theory of thermohydrodynamics in two-dimensional electron systems in quantizing magnetic fields is developed including a nonlinear transport regime. Spatio-temporal variations of the electron temperature and the chemical potential in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hiroshi Akera , Hidekatsu Suzuura

Liquid water is not only of obvious importance but also extremely intriguing, displaying many anomalies that still challenge our understanding of such an a priori simple system. The same is true when looking at nanoconfined water: The…

Soft Condensed Matter · Physics 2016-06-29 Jon Zubeltzu , Fabiano Corsetti , M. V. Fernandez-Serra , Emilio Artacho

In this article we consider two different heat conducting fluids each modelled by the incompressible Navier-Stokes-Fourier system separated by a non-linear elastic Koiter shell. The motion of the shell changes the domain of definition of…

Analysis of PDEs · Mathematics 2026-02-12 Sourav Mitra , Sebastian Schwarzacher

We report a numerical study addressing the dynamics of compound vesicles confined in a channel under shear flow. The system comprises a smaller vesicle embedded within a larger one and can be used to mimic, for example, leukocytes or…

Soft Condensed Matter · Physics 2025-12-11 A. Lamura

The dynamics and rheology of a vesicle confined in a channel under shear flow are studied at finite temperature. The effect of finite temperature on vesicle motion and system viscosity is investigated. A two-dimensional numerical model,…

Soft Condensed Matter · Physics 2022-10-04 A. Lamura

Heat transport in the quantum Hall regime is investigated using micron-scale heaters and thermometers positioned along the edge of a millimeter-scale two dimensional electron system (2DES). The heaters rely on localized current injection…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 G. Granger , J. P. Eisenstein , J. L. Reno

The dynamics of two-dimensional viscous vesicles in shear flow, with different fluid viscosities $\eta_{\rm in}$ and $\eta_{\rm out}$ inside and outside, respectively, is studied using mesoscale simulation techniques. Besides the well-known…

Soft Condensed Matter · Physics 2016-08-17 Sebastian Meßlinger , Benjamin Schmidt , Hiroshi Noguchi , Gerhard Gompper

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.…

Fluid Dynamics · Physics 2016-03-22 Alexander Chesnokov , Valery Liapidevskii

We study a diffuse interface model describing the motion of two viscous fluids driven by the surface tension in a Hele-Shaw cell. The full system consists of the Cahn-Hilliard equation coupled with the Darcy's law. We address the physically…

Analysis of PDEs · Mathematics 2019-03-12 Andrea Giorgini

We present the results of large-scale numerical simulations of the mobility of a two-dimensional electron liquid on the helium surface in the presence of a one-dimensional periodic potential. Even where the potential is much weaker than the…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 K. Moskovtsev , M. I. Dykman

In Hele-Shaw cells, pressure-driven viscous fluid motion between two closely-spaced plates gives rise to a two-dimensional potential flow with zero circulation. Here, we show how the introduction of electromagnetic effects enables the…

Fluid Dynamics · Physics 2024-10-11 Kyle I. McKee , John W. M. Bush