# Physical Review E

*Updated:*1 day 5 hours ago

### Equilibrium measurement method of slip length based on fluctuating hydrodynamics

Author(s): Hiroyoshi Nakano and Shin-ichi Sasa

We perform equilibrium molecular dynamics simulations for nanoscale fluids confined between two parallel walls and investigate how the autocorrelation function of force acting on one wall is related to the slip length. We demonstrate that for atomically smooth surfaces, the autocorrelation function ...

[Phys. Rev. E 101, 033109] Published Mon Mar 30, 2020

### Universal moments of accelerations in two-dimensional turbulence

Author(s): Igor V. Kolokolov and Maria M. Kostenko

We consider two-dimensional turbulence in the presence of a condensate. The nondiagonal correlation functions of the Lagrangian accelerations are calculated, and it is shown that they have the same universality properties as the nondiagonal correlation functions of the velocity fluctuations.

[Phys. Rev. E 101, 033108] Published Fri Mar 20, 2020

### Dynamo action in sliding plates of anisotropic electrical conductivity

Author(s): T. Alboussière, K. Drif, and F. Plunian

With materials of anisotropic electrical conductivity, it is possible to generate a dynamo with a simple velocity field, of the type precluded by Cowling's theorems with isotropic materials. Following a previous study by Ruderman and Ruzmaikin [M. S. Ruderman and A. A. Ruzmaikin, Magnetic field gene...

[Phys. Rev. E 101, 033107] Published Mon Mar 16, 2020

### Wave damping of a sloshing wave by an interacting turbulent vortex flow

Author(s): Francisco Reyes, Vicente Torrejón, and Claudio Falcón

We report on the enhancement of the hydrodynamic damping of gravity waves at the surface of a fluid layer as they interact with a turbulent vortex flow in a sloshing experiment. Gravity surface waves are excited by oscillating horizontally a square container holding our working fluid (water). At the...

[Phys. Rev. E 101, 033106] Published Thu Mar 12, 2020

### Scaling laws for external fluid flow induced by controlled periodic heating of a solid boundary

Author(s): Debashis Pal and Suman Chakraborty

We demonstrate that considerable variation of mean Prandtl number (Pr0) from unity brings in an additional length scale (called the viscous penetration depth, δv) into the dynamics of instantaneous as well as time-averaged (mean) flow induced by thermoviscous expansion along a periodically heated so...

[Phys. Rev. E 101, 033105] Published Wed Mar 11, 2020

### Three-dimensional electroconvective vortices in cross flow

Author(s): Yifei Guan, James Riley, and Igor Novosselov

This study focuses on the three-dimensional (3D) electrohydrodynamic flow instability between two parallel electrodes driven by unipolar charge injection with and without cross flow. Lattice Boltzmann method with a two-relaxation time model is used to compute flow patterns. In the absence of cross f...

[Phys. Rev. E 101, 033103] Published Tue Mar 03, 2020

### Generation of nonlinear internal waves by flow over topography: Rotational effects

Author(s): C. Yuan, R. Grimshaw, E. Johnson, and A. Whitfield

We use the forced Ostrovsky equation to investigate the generation of internal waves excited by a constant background current flowing over localized topography in the presence of background rotation. As is now well known in the absence of background rotation, the evolution scenarios fall into three ...

[Phys. Rev. E 101, 033104] Published Tue Mar 03, 2020

### Interaction between rarefaction wave and viscous fingering in a Langmuir adsorbed solute

Author(s): Chinar Rana and Manoranjan Mishra

The evolution of dissolved species in a porous medium is determined by its adsorption on the porous matrix through the classical advection-diffusion processes. The extent to which the adsorption affects the solute propagation in applications related to chromatography and contaminant transport is lar...

[Phys. Rev. E 101, 033101] Published Mon Mar 02, 2020

### Statistics of relative velocity for particles settling under gravity in a turbulent flow

Author(s): Akshay Bhatnagar

We study the joint probability distributions of separation R and radial component of the relative velocity VR of particles settling under gravity in a turbulent flow. We also obtain the moments of these distributions and analyze their anisotropy using spherical harmonics. We find that the qualitativ...

[Phys. Rev. E 101, 033102] Published Mon Mar 02, 2020

### Bicritical states in a vertical layer of fluid under two-frequency temperature modulation

Author(s): Jitender Singh, Puneet Kaur, and Renu Bajaj

In this paper, the effect of two-frequency modulation of boundary temperatures on the onset of natural convection in a layer of fluid (with Prandtl number <12.5) between two vertical parallel planes is considered. The ratio of the two forcing frequencies and the mixing angle for the amplitude of ...

[Phys. Rev. E 101, 023109] Published Wed Feb 26, 2020

### Local details versus effective medium approximation: A study of diffusion in microfluidic random networks made from Voronoi tessellations

Author(s): Washington Ponce and María Luisa Cordero

We measured the effective diffusion coefficient in regions of microfluidic networks of controlled geometry using the fluorescence recovery after photobleaching (FRAP) technique. The geometry of the networks was based on Voronoi tessellations, and had varying characteristic length scale and porosity....

[Phys. Rev. E 101, 023110] Published Wed Feb 26, 2020

### Coupling effects and thin-shell corrections for surface instabilities of cylindrical fluid shells

Author(s): Shuai Zhang, Hao Liu, Wei Kang, Zuoli Xiao, Jianjun Tao, Ping Zhang, Weiyan Zhang, and X. T. He

We show that when linear azimuthal perturbations on the surfaces of a fluid shell are regrouped according to αm, they can be divided into Bell model terms, coupling terms, and the newly identified thin-shell correction terms, where α is the ratio of Rout to Rin, and m is the mode number of a given u...

[Phys. Rev. E 101, 023108] Published Tue Feb 25, 2020

### Theory of acoustic trapping of microparticles in capillary tubes

Author(s): Jacob S. Bach and Henrik Bruus

We present a semianalytical theory for the acoustic fields and particle-trapping forces in a viscous fluid inside a capillary tube with arbitrary cross section and ultrasound actuation at the walls. We find that the acoustic fields vary axially on a length scale proportional to the square root of th...

[Phys. Rev. E 101, 023107] Published Thu Feb 20, 2020

### General power-law temporal scaling for unequal-size microbubble coalescence

Author(s): Rou Chen, Huidan (Whitney) Yu, Jianhuan Zeng, and Likun Zhu

We systematically study the effects of liquid viscosity, liquid density, and surface tension on global microbubble coalescence using lattice Boltzmann simulation. The liquid-gas system is characterized by Ohnesorge number Oh≡ηh/ρhσrF with ηh,ρh,σ, and rF being viscosity and density of liquid, surfac...

[Phys. Rev. E 101, 023106] Published Mon Feb 10, 2020

### Flexible fibers in shear flow approach attracting periodic solutions

Author(s): Agnieszka M. Słowicka, Howard A. Stone, and Maria L. Ekiel-Jeżewska

The three-dimensional dynamics of a single non-Brownian flexible fiber in shear flow is evaluated numerically, in the absence of inertia. A wide range of ratios A of bending to hydrodynamic forces and hundreds of initial configurations are considered. We demonstrate that flexible fibers in shear flo...

[Phys. Rev. E 101, 023104] Published Thu Feb 06, 2020

### Numerical simulation of dissolved air flotation using a lattice Boltzmann method

Author(s): Amirabbas Ghorbanpour-Arani, Mohammad-Hassan Rahimian, and Reza Haghani-Hassan-Abadi

In this paper, the behavior of a bubble and droplet rising in a system, namely, a dissolved air flotation system, is investigated under different conditions. A lattice Boltzmann model which is based on the Cahn-Hilliard equations for ternary flows is implemented. This model can handle high density a...

[Phys. Rev. E 101, 023105] Published Thu Feb 06, 2020

### Transition to turbulence in driven active matter

Author(s): Aritra Das, J. K. Bhattacharjee, and T. R. Kirkpatrick

A Lorenz-like model was set up recently to study the hydrodynamic instabilities in a driven active matter system. This Lorenz model differs from the standard one in that all three equations contain nonlinear terms. The additional nonlinear term comes from the active matter contribution to the stress...

[Phys. Rev. E 101, 023103] Published Wed Feb 05, 2020

### Behavior of charged and uncharged drops in high alternating tangential electric fields

Author(s): Jens-Michael Löwe, Volker Hinrichsen, Ilia V. Roisman, and Cameron Tropea

The interaction of drops and electric fields occurs in many applications like electrowetting, electrospinning, atomization, but also causes unwanted effects like the aging of high-voltage composite insulators. Water drops are influenced by electric fields due to the polar properties of the water mol...

[Phys. Rev. E 101, 023102] Published Tue Feb 04, 2020

### Knudsen number effects on the nonlinear acoustic spectral energy cascade

Author(s): Shubham Thirani, Prateek Gupta, and Carlo Scalo

We present a numerical investigation of the effects of gas rarefaction on the energy dynamics of resonating planar nonlinear acoustic waves. The problem setup is a gas-filled, adiabatic tube, excited from one end by a piston oscillating at the fundamental resonant frequency of the tube and closed at...

[Phys. Rev. E 101, 023101] Published Mon Feb 03, 2020

### Acoustic microstreaming produced by nonspherical oscillations of a gas bubble. III. Case of self-interacting modes $n−n$

Author(s): Claude Inserra, Gabriel Regnault, Sarah Cleve, Cyril Mauger, and Alexander A. Doinikov

This paper is the continuation of work done in our previous papers [A. A. Doinikov *et al.*, Phys. Rev. E **100**, 033104 (2019); Phys. Rev. E **100**, 033105 (2019)]. The overall aim of the study is to develop a theory for modeling the velocity field of acoustic microstreaming produced by nonspherical oscil...

[Phys. Rev. E 101, 013111] Published Thu Jan 30, 2020