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In this paper we study isentropic flow in a curved pipe. We focus on the consequences of the geometry of the pipe on the dynamics of the flow. More precisely, we present the solution of the general Cauchy problem for isentropic fluid flow…

Analysis of PDEs · Mathematics 2016-11-03 Rinaldo M. Colombo , Helge Holden

We theoretically investigate a method for tuning a dissipation rate in an atom-cavity system. By inserting a nanotip into the cavity mode, we estimate that the cavity dissipation rate increases by a factor of approximately 20, due to the…

The motion of a gas-liquid interface along a solid wall is influenced by the capillary forces resulting from the interface's shape and its interaction with the solid, where it forms a dynamic contact angle. Capillary models play a…

With molecular simulation for water and a tunable hydrophobic substrate, we apply the instantaneous interface construction [A. P. Willard and D. Chandler, J. Phys. Chem. B, 114, 1954 (2010)] to examine the similarity between a water-vapor…

Soft Condensed Matter · Physics 2015-01-21 Adam P. Willard , David Chandler

The thin-liquid film drainage between two curved surfaces is a fundamental process for many hydrodynamic measurements, for which Vinogradova's formula has played a central role when flow slip occurs at fluid-solid interfaces. By performing…

Soft Condensed Matter · Physics 2014-07-22 Angbo Fang

Freezing of dispersions is omnipresent in science and technology. While the passing of a freezing front over a solid particle is reasonably understood, this is not so for soft particles. Here, using an oil-in-water emulsion as a model…

Fluid Dynamics · Physics 2023-05-29 Jochem G. Meijer , Pallav Kant , Duco Van Buuren , Detlef Lohse

To comprehend the complexities of the ice-water interface, we perform a study that attempts to correlate the altered dynamics of water to its perturbed structure at, and due to, the interface. The deviation from bulk values of structural…

Soft Condensed Matter · Physics 2019-08-02 Saumyak Mukherjee , Sayantan Mondal , Biman Bagchi

Cavitation in fluids can severely hinder the efficiency of the associated flows. This undesired phenomenon is strongly influenced by local flow conditions, flow orientation, proximity to boundaries and liquid/gas properties at saturation.…

We derive a continuum mean-curvature flow as a certain hydrodynamic scaling limit of a class of Glauber+Zero-range particle systems. The Zero-range part moves particles while preserving particle numbers, and the Glauber part governs the…

Probability · Mathematics 2023-08-02 Perla El Kettani , Tadahisa Funaki , Danielle Hilhorst , Hyunjoon Park , Sunder Sethuraman

Motivated by recent experiments, we consider theoretically the compression of droplets pinned at the bottom on a surface of finite area. We show that if the droplet is sufficiently compressed at the top by a surface, it will always develop…

Fluid Dynamics · Physics 2017-08-03 Gwynn J. Elfring , Eric Lauga

An intrinsic feature of nearly all internal interfaces in crystalline systems (homo- and hetero-phase) is the presence of disconnections (topological line defects constrained to the interface that have both step and dislocation character).…

Materials Science · Physics 2023-05-12 Caihao Qiu , Marco Salvalaglio , David J. Srolovitz , Jian Han

In the Leidenfrost effect a small drop of fluid is levitated above a sufficiently hot surface, on a persistent vapor layer generated by evaporation from the drop. The vapor layer thermally insulates the drop from the surface leading to…

Fluid Dynamics · Physics 2014-07-30 Thomas A. Caswell

We experimentally study the airflow in a collapsing cavity created by the impact of a circular disk on a water surface. We measure the air velocity in the collapsing neck in two ways: Directly, by means of employing particle image…

Fluid Dynamics · Physics 2015-06-15 Ivo R. Peters , Stephan Gekle , Detlef Lohse , Devaraj van der Meer

Cavitation in tubes is a common occurrence in nature and engineering applications. Previous studies of cavitation bubble dynamics mainly consider bubbles in stagnant-water tubes, but the dynamics of cavitation bubbles in tubes with flow is…

Fluid Dynamics · Physics 2024-08-05 Nian Wang , Odumuyiwa A. Odumosu , Tianyou Wang , Zhizhao Che

We introduce a new sharp interface model for the flow of two immiscible, viscous, incompressible fluids. In contrast to classical models for two-phase flows we prescribe an evolution law for the interfaces that takes diffusional effects…

Analysis of PDEs · Mathematics 2015-05-13 Helmut Abels , Matthias Röger

The axisymmetric deformation and motion of interacting droplets in an imposed temperature gradient is considered using boundary-integral techniques for slow viscous motion. Results showing temporal drop motion, deformations and separation…

Fluid Dynamics · Physics 2007-05-23 V. Berejnov , O. M. Lavrenteva , A. Nir

Viscous streaming flows generated by objects of constant curvature (circular cylinders, infinite plates) have been well understood. Yet, characterization and understanding of such flows when multiple body length-scales are involved has not…

Fluid Dynamics · Physics 2020-07-08 Yashraj Bhosale , Tejaswin Parthasarathy , Mattia Gazzola

Simultaneous Particle Image Velocimetry (PIV) measurements of stratified turbulent air/water flow in a horizontal pipe have been performed using water droplets as tracers in the gas-phase. The use of water droplets as tracers ensures that…

Fluid Dynamics · Physics 2017-01-03 A. A. Ayati , J. Kolaas , A. Jensen , G. W. Johnson

The purpose of this paper is to derive anisotropic mean curvature flow as the limit of the anisotropic Allen-Cahn equation. We rely on distributional solution concepts for both the diffuse and sharp interface models, and prove convergence…

Analysis of PDEs · Mathematics 2022-12-23 Tim Laux , Kerrek Stinson , Clemens Ullrich

With tangent angle perturbation approach the axial symmetry deformation of a spherical vesicle in large under the pressure changes is studied by the elasticity theory of Helfrich spontaneous curvature model.Three main results in axial…

Biological Physics · Physics 2009-11-07 Jianjun Zhou , Yong Zhang , Xin Zhou , Ou-Yang Zhong-can
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