Physical Review E
Two self-similar Reynolds-stress transport models with anisotropic eddy viscosity
Author(s): Brandon E. Morgan, Kevin Ferguson, and Britton J. Olson
Two Reynolds-averaged Navier-Stokes models with full Reynolds-stress transport (RST) and tensor eddy viscosity are presented. These new models represent RST extensions of the k−2L−a−C and k−ϕ−L−a−C models by Morgan [Phys. Rev. E 103, 053108 (2021); Phys. Rev. E 105, 045104 (2022)]. Self-similarity a…
[Phys. Rev. E 108, 055104] Published Wed Nov 15, 2023
Instability of mixing layers: Momentum and thermal transport in the continuum breakdown regime
Author(s): Vishnu Mohan, A. Sameen, Balaji Srinivasan, and Sharath S. Girimaji
We examine the momentum and thermal transport in the continuum breakdown regime of a mixing layer flow, which exhibits Kelvin-Helmholtz instability under ideal continuum conditions. The Grad 13 moment model is used as it provides an adequate description of the flow physics (second-order accurate in …
[Phys. Rev. E 108, L053101] Published Wed Nov 08, 2023
Two-dimensional simulations of Rayleigh-Taylor instability in elastic-plastic media
Author(s): A. R. Piriz, J. J. López Cela, S. A. Piriz, and N. A. Tahir
Two-dimensional numerical simulations for the Rayleigh-Taylor instability in an elastic-plastic medium are presented. Recent predictions of the theory regarding the asymmetric growth of peaks and valleys during the linear phase of the instability evolution are confirmed. Extension to the nonlinear r…
[Phys. Rev. E 108, 055102] Published Mon Nov 06, 2023
Boundary-bound reactions: Pattern formation with and without hydrodynamics
Author(s): Aiden Huffman and Henry Shum
We study chemical pattern formation in a fluid between two flat plates and the effect of such patterns on the formation of convective cells. This patterning is made possible by assuming the plates are chemically reactive or release reagents into the fluid, both of which we model as chemical fluxes. …
[Phys. Rev. E 108, 055103] Published Mon Nov 06, 2023
Fast-slow wave transitions induced by a random mean flow
Author(s): S. Boury, O. Bühler, and J. Shatah
Motivated by recent asymptotic results in atmosphere-ocean fluid dynamics, we present an idealized numerical and theoretical study of two-dimensional dispersive waves propagating through a small-amplitude random mean flow. The objective is to delineate clearly the conditions under which the cumulati…
[Phys. Rev. E 108, 055101] Published Thu Nov 02, 2023
Thermorelaxing multicomponent flows investigated with a Baer-Nunziato-type model
Author(s): Chao Zhang and Lifeng Wang
In inertial confinement fusion (ICF) implosions, mixing the ablator into the fuel and the hot spot is one of the most adverse factors that lead to ignition degradation. Recent experiments in the Marble campaign at the Omega laser facility and the National Ignition Facility demonstrate the significan…
[Phys. Rev. E 108, 045108] Published Fri Oct 20, 2023
Oscillating Taylor bubble during the emptying of a partially filled water bottle
Author(s): Olivier Praud, Cyril Vettorello, and Véronique Roig
The oscillatory behavior observed during the emptying of a vertical cylinder partially filled with water has been studied for large neck-to-bottle diameter ratios, d*. For large apertures (d*>0.8), a Taylor bubble invades the cylinder from the bottom, and its rising speed exhibits periodic oscill…
[Phys. Rev. E 108, 045107] Published Wed Oct 18, 2023
Experimental evidence of random shock-wave intermittency
Author(s): Guillaume Ricard and Eric Falcon
We report the experimental observation of intermittency in a regime dominated by random shock waves on the surface of a fluid. We achieved such a nondispersive surface-wave field using a magnetic fluid subjected to a high external magnetic field. We found that the small-scale intermittency of the wa…
[Phys. Rev. E 108, 045106] Published Mon Oct 16, 2023
Acoustic tokamak with strongly coupled toroidal bubbles
Author(s): A. Caumont, O. Stephan, E. Bossy, B. Dollet, C. Quilliet, and P. Marmottant
Gas bubbles stabilized in toroidal 3D-printed cages are good acoustic resonators with an unusual topology. We arrange them in a circular array to obtain what we call an “acoustic tokamak” because of the torus shape of the whole array. We demonstrate experimentally and theoretically that the system f…
[Phys. Rev. E 108, 045105] Published Fri Oct 13, 2023
Stability of a liquid film on inclined flexible substrates: Effect of the spontaneous odd viscosity
Author(s): Beinan Jia and Yongjun Jian
We report the stability of a falling incompressible odd viscosity fluid on flexible substrates when the time-reversal symmetry is broken. The flexible wall equation incorporates the contribution of odd viscosity, where the stress at an interface is determined by the viscosities of the adjacent fluid…
[Phys. Rev. E 108, 045104] Published Tue Oct 10, 2023
Statistical properties of superfluid turbulence in $^{4}\mathrm{He}$ from the Hall-Vinen-Bekharevich-Khalatnikov model
Author(s): Akhilesh Kumar Verma, Sanjay Shukla, Vishwanath Shukla, Abhik Basu, and Rahul Pandit
We obtain the von Kármán–Howarth relation for the stochastically forced three-dimensional (3D) Hall-Vinen-Bekharevich-Khalatnikov (HVBK) model of superfluid turbulence in helium (He4) by using the generating-functional approach. We combine direct numerical simulations (DNSs) and analytical studies t…
[Phys. Rev. E 108, 045103] Published Mon Oct 09, 2023
Acoustophoresis around an elastic scatterer in a standing wave field
Author(s): Khemraj Gautam Kshetri and Nitesh Nama
Acoustofluidic systems often employ prefabricated acoustic scatterers that perturb the imposed acoustic field to realize the acoustophoresis of immersed microparticles. We present a numerical study to investigate the time-averaged streaming and radiation force fields around a scatterer. Based on the…
[Phys. Rev. E 108, 045102] Published Thu Oct 05, 2023
Locally optimal geometry for surface-enhanced diffusion
Author(s): Anneline H. Christensen, Ankur Gupta, Guang Chen, Winfried S. Peters, Michael Knoblauch, Howard A. Stone, and Kaare H. Jensen
Molecular diffusion in bulk liquids proceeds according to Fick's law, which stipulates that the particle current is proportional to the conductive area. This constrains the efficiency of filtration systems in which both selectivity and permeability are valued. Previous studies have demonstrated that…
[Phys. Rev. E 108, 045101] Published Wed Oct 04, 2023
Acoustic radiation force on a heated spherical particle in a fluid including scattering and microstreaming from a standing ultrasound wave
Author(s): Bjørn G. Winckelmann and Henrik Bruus
Analytical expressions are derived for the time-averaged, quasisteady, acoustic radiation force on a heated, spherical, elastic, solid microparticle suspended in a fluid and located in an axisymmetric incident acoustic wave. The heating is assumed to be spherically symmetric, and the effects of part…
[Phys. Rev. E 108, 035108] Published Fri Sep 29, 2023
Motion of a current-vortex sheet in the magnetic Kelvin-Helmholtz instability
Author(s): Seunghyeon Baek and Sung-Ik Sohn
In this paper, we consider the Kelvin-Helmholtz instability in the magnetohydrodynamic flow. The motion of the interface is described by a current-vortex sheet. We examine the linear stability of the current-vortex sheet model and determine the growth rate of the interface. The interface is linearly…
[Phys. Rev. E 108, 035107] Published Tue Sep 19, 2023
Elastohydrodynamic autoregulation in soft overlapping channels
Author(s): Magnus V. Paludan, Matthew D. Biviano, and Kaare H. Jensen
Controlling fluid flow from an unsteady source is a challenging problem that is relevant in both living and man-made systems. Animals have evolved various autoregulatory mechanisms to maintain homeostasis in vital organs. This keeps the influx of nutrients essentially constant and independent of the…
[Phys. Rev. E 108, 035106] Published Mon Sep 18, 2023
Nonlinear shallow water investigation of atmospheric disturbances generated by strong seismic events
Author(s): Francesco Carbone, Mirko Piersanti, Fabio Lepreti, Leonardo Primavera, Christian N. Gencarelli, Nicola Pirrone, and Roberto Battiston
The upper portions of the Earth's atmospheric layer, e.g., the ionospheric plasma layer, can be significantly affected by perturbations generated in the lower layers. In fact, all perturbations formed within the troposphere can easily propagate, not only horizontally within the layer but also vertic…
[Phys. Rev. E 108, 035105] Published Thu Sep 14, 2023
Upscaling of dispersion in gas-liquid absorption on an inclined surface
Author(s): Morteza Dejam and Hassan Hassanzadeh
We extend the Taylor-Aris dispersion theory to upscale the gas absorption into a viscous incompressible liquid flowing along an inclined surface. A reduced-order model of advection-dispersion-reaction is developed with the aid of Reynolds decomposition and cross-sectional averaging techniques. The u…
[Phys. Rev. E 108, 035104] Published Wed Sep 13, 2023
Damped-driven system of bouncing droplets leading to deterministic diffusive behavior
Author(s): Aminur Rahman
Damped-driven systems are ubiquitous in science, however, the damping and driving mechanisms are often quite convoluted. This paper presents an experimental and theoretical investigation of a fluidic droplet on a vertically vibrating fluid bath as a damped-driven system. We study a fluidic droplet i…
[Phys. Rev. E 108, 035103] Published Mon Sep 11, 2023
Simple model for self-propulsion of microdroplets in surfactant solution
Author(s): Swarnak Ray and Arun Roy
We propose a simple active hydrodynamic model for the self-propulsion of a liquid droplet suspended in micellar solutions. The self-propulsion of the droplet occurs by spontaneous breaking of isotropic symmetry and is studied using both analytical and numerical methods. The emergence of self-propuls…
[Phys. Rev. E 108, 035102] Published Fri Sep 08, 2023