Chemical reaction fronts separate regions of reacted and unreacted substances as they propagate in liquids. These fronts may induce density gradients due to different chemical compositions and temperatures across the front. In this paper, we investigate buoyancy-induced convection driven by both typ…
[Phys. Rev. E 109, 035104] Published Thu Mar 28, 2024
]]>We analytically examine fluctuations of vorticity excited by an external random force in two-dimensional fluid. We develop the perturbation theory enabling one to calculate nonlinear corrections to correlation functions of the flow fluctuations found in the linear approximation. We calculate the cor…
[Phys. Rev. E 109, 035103] Published Mon Mar 25, 2024
]]>While bouncing walking silicone oil droplets (walkers) do show many quantumlike phenomena, the original, most intriguing, double-slit experiment with walkers has been shown to be an overinterpretation of data. Several experiments and numerical simulations have proven that for at least some parameter…
[Phys. Rev. E 109, 035101] Published Mon Mar 11, 2024
]]>The elastic-plastic Richtmyer-Meshkov instability of multiple interfaces is investigated by numerical simulation using a multimaterial solid mechanics algorithm based on an Eulerian framework. This Richtmyer-Meshkov instability problem is realized by a copper layer that is flanked by vacuum and a co…
[Phys. Rev. E 109, 035102] Published Mon Mar 11, 2024
]]>Using two-dimensional porous structures made up of homogeneously arranged solid obstacles, we examine the effects of rarefaction on the hydraulic tortuosity in the slip and early transition flow regimes via extended lattice Boltzmann method. We observed that modification in either the obstacle's arr…
[Phys. Rev. E 109, 025106] Published Fri Feb 23, 2024
]]>Electrohydrodynamic ion transport has been studied in nanotubes, nanoslits, and nanopores to mimic the advanced functionalities of biological ion channels. However, probing how the intricate interplay between the electrical and mechanical interactions affects ion conduction in asymmetric nanoconduit…
[Phys. Rev. E 109, 025105] Published Wed Feb 21, 2024
]]>The symmetry-based turbulence theory has been used to derive new scaling laws for the streamwise velocity and temperature moments of arbitrary order. For this, it has been applied to an incompressible turbulent channel flow driven by a pressure gradient with a passive scalar equation coupled in. To …
[Phys. Rev. E 109, 025104] Published Wed Feb 14, 2024
]]>To better understand the three-dimensional topology of the interaction between the shock train and the background wave, the steady and dynamic characteristics of a shock train were investigated using wind-tunnel experiments and numerical simulation. A 14° wedge placed at the bottom and sidewalls was…
[Phys. Rev. E 109, 025103] Published Tue Feb 13, 2024
]]>The Zhong-Zhang (ZZ) model is a one-degree-of-freedom dynamical system describing the motion of an insulating plate of length floating on the upper surface of a convecting fluid, with locking at the boundaries. In the absence of noise, the system away from the boundaries is described by linear dif…
[Phys. Rev. E 109, 025102] Published Mon Feb 05, 2024
]]>Developed turbulent motion of fluid still lacks an analytical description despite more than a century of active research. Nowadays, phenomenological ideas are widely used in practical applications, such as small-scale closures for numerical simulations of turbulent flows. In the present paper, we us…
[Phys. Rev. E 109, 025101] Published Thu Feb 01, 2024
]]>The viscosity and thermal conductivity coefficients of the Lennard-Jones fluid are extracted through symbolic regression (SR) techniques from data derived from simulations at the atomic scale. This data-oriented approach provides closed form relations that achieve fine accuracy when compared to well…
[Phys. Rev. E 109, 015105] Published Thu Jan 25, 2024
]]>We develop a multitask and multifidelity Gaussian process (MMGP) model to accurately predict and optimize the multiobjective performance of a flapping foil while minimizing the cost of high-fidelity data. Through a comparison of three kernels, we have selected and applied the spectral mixture kernel…
[Phys. Rev. E 109, 015103] Published Tue Jan 23, 2024
]]>The lifting Hele-Shaw cell flow commonly involves the stretching of a viscous oil droplet surrounded by air, in the confined space between two parallel plates. As the upper plate is lifted, viscous fingering instabilities emerge at the air-oil interface. Such an interfacial instability phenomenon is…
[Phys. Rev. E 109, 015104] Published Tue Jan 23, 2024
]]>We consider nonlinear wave structures described by the modified Korteweg–de Vries equation, taking into account a small Burgers viscosity for the case of steplike initial conditions. The Whitham modulation equations are derived, which include the small viscosity as a perturbation. It is shown that f…
[Phys. Rev. E 109, 015102] Published Tue Jan 16, 2024
]]>Electrified sessile droplets on solid surfaces are ubiquitous in nature as well as in several practical applications. Although the influence of electric field on pinned sessile droplets and soap bubbles has been investigated experimentally, the theoretical understanding of the stability limit of gen…
[Phys. Rev. E 109, L013101] Published Tue Jan 09, 2024
]]>This study addresses the inadequacy of isothermal wall conditions in predicting accurate flow features and thermal effects in multicomponent systems. A finite-difference characteristic-based off-lattice Boltzmann method (OLBM) with a source term-based conjugate heat transfer (CHT) model is utilized …
[Phys. Rev. E 109, 015101] Published Wed Jan 03, 2024
]]>We study numerically a spherical particle settling through a density transition layer at moderate Reynolds numbers for the upper fluid. We investigate how the transition layer thickness affects the particle's bouncing behavior as it crosses the interface. The previous intuitive understand…
[Phys. Rev. E 108, 065108] Published Thu Dec 28, 2023
]]>We relate the model of vorticity wave interaction to Krein collision, -symmetry breaking, and the formation of exceptional points in shear flow instabilities. We show that the dynamical system of coupled vorticity waves is a pseudo-Hermitian system with nonreciprocal coupling terms. Krein signatur…
[Phys. Rev. E 108, 065109] Published Thu Dec 28, 2023
]]>We report experimental results on breath figures (BFs) observed on substrates with quenched disorder. The evolution of BFs is found to be primarily influenced by global parameters associated with boundary conditions. We investigate classical statistical measures and explore topological properties us…
[Phys. Rev. E 108, 065107] Published Wed Dec 27, 2023
]]>The. inertial migration of both spherical and oblate particles within an equilateral triangular channel is studied numerically. Our study primarily focuses on the effects of fluid inertia, quantified by the Reynolds number (Re) and particle size (). Our observations reveal two distinct equilibrium …
[Phys. Rev. E 108, 065105] Published Mon Dec 11, 2023
]]>Carreau fluids occur routinely in porous medium systems for a range of applications, and the dependence of the viscosity for such fluids on the rate of strain tensor poses challenges to modeling at an averaged macroscale. Traditional approaches for macroscale modeling such flows have relied upon exp…
[Phys. Rev. E 108, 065106] Published Mon Dec 11, 2023
]]>Polyatomic gases find numerous applications across various scientific and technological fields, necessitating a quantitative understanding of their behavior in nonequilibrium conditions. In this study, we investigate the behavior of rarefied polyatomic gases, particularly focusing on heat transfer a…
[Phys. Rev. E 108, 065103] Published Thu Dec 07, 2023
]]>We analyze numerically the Marangoni flow around an immiscible droplet submerged in a stably stratified mixture of ethanol and water. The linear stability analysis shows that the base flow undergoes a supercritical Hopf bifurcation that leads to oscillations. The theoretical prediction for the criti…
[Phys. Rev. E 108, 065104] Published Thu Dec 07, 2023
]]>To fill a gap in the literature about the specific dynamics of thermovibrational flow in a square cavity filled with a viscoelastic fluid when vibrations and the imposed temperature gradient are concurrent, a parametric investigation has been conducted to investigate the response of this system over…
[Phys. Rev. E 108, 065101] Published Fri Dec 01, 2023
]]>A remarkable feature of two-dimensional turbulence is the transfer of energy from small to large scales. This process can result in the self-organization of the flow into large, coherent structures due to energy condensation at the largest scales. We investigate the formation of this condensate in a…
[Phys. Rev. E 108, 065102] Published Fri Dec 01, 2023
]]>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 and 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
]]>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 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
]]>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
]]>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
]]>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
]]>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, . For large apertures (), 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
]]>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
]]>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
]]>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
]]>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 () 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
]]>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
]]>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
]]>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
]]>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
]]>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
]]>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
]]>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 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
]]>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
]]>Reported in the paper are results of unsteady three-dimensional direct numerical simulations of laminar and turbulent, lean hydrogen-air, complex-chemistry flames propagating in forced turbulence in a box. To explore the eventual influence of thermodiffusive instability of laminar flames on turbulen…
[Phys. Rev. E 108, 035101] Published Fri Sep 01, 2023
]]>We numerically study the dynamic state of a low-Reynolds-number turbulent channel flow from the viewpoints of symbolic dynamics and nonlinear forecasting. A low-dimensionally (high-dimensionally) chaotic state of the streamwise velocity fluctuations emerges at a viscous sublayer (logarithmic layer).…
[Phys. Rev. E 108, 025105] Published Tue Aug 29, 2023
]]>The lifting Hele-Shaw cell setup is a popular modification of the classic, fixed-gap, radial viscous fingering problem. In the lifting cell configuration, the upper cell plate is lifted such that a more viscous inner fluid is invaded by an inward-moving outer fluid. As the fluid-fluid interface cont…
[Phys. Rev. E 108, 025104] Published Tue Aug 22, 2023
]]>The boundary layer near a cooled inclined plate, which is immersed in a stably stratified fluid rotating about an axis parallel to the direction of gravity, is a model for katabatic flows at high latitudes. In this paper the base flow of such an inclined buoyancy layer is solved analytically for arb…
[Phys. Rev. E 108, 025102] Published Tue Aug 15, 2023
]]>We study the self-organization of spherical particles in an oscillating flow through experiments inside an oscillating box. The interactions between the particles and the time-averaged (steady streaming) flow lead to the formation of either one-particle-thick chains or multiple-particle-wide bands, …
[Phys. Rev. E 108, 025103] Published Tue Aug 15, 2023
]]>We analyze the mixing properties of a floating stirrer driven electromagnetically in a thin layer of electrolyte, consisting of two free-floating magnets with opposite polarities connected by a rigid coupling. The magnetic rotor is set in circular motion using Lorentz forces created due to the inter…
[Phys. Rev. E 108, 025101] Published Fri Aug 11, 2023
]]>Understanding the flow of yield stress fluids in porous media is a major challenge. In particular, experiments and extensive numerical simulations report a nonlinear Darcy law as a function of the pressure gradient. In this letter we consider a treelike porous structure for which the problem of the …
[Phys. Rev. E 108, L023102] Published Wed Aug 09, 2023
]]>When a body moves through a fluid, it can experience a force orthogonal to its movement called lift force. Odd viscous fluids break parity and time-reversal symmetry, suggesting the existence of an odd lift force on tracer particles, even at vanishing Reynolds numbers and for symmetric geometries. I…
[Phys. Rev. E 108, L023101] Published Wed Aug 02, 2023
]]>Nucleation and subsequent expansion of gas bubbles in porous media is relevant to many applications, including oil recovery, carbon storage, and boiling. We have built an experimental setup using microfluidic chips to study the dynamics of bubble growth in porous media. Visualization experiments of …
[Phys. Rev. E 108, 015105] Published Fri Jul 28, 2023
]]>Traveling-wave electrophoresis (TWE) is a method for transporting charged colloidal particles used in many microfluidic techniques for particle manipulation and fractionation. This method exploits the traveling-wave components of the electric field generated by an array of electrodes subjected to ac…
[Phys. Rev. E 108, 015104] Published Mon Jul 24, 2023
]]>We suggest a new focus for turbulence studies—multimode correlations—which reveal the hitherto hidden nature of turbulent state. We apply this approach to shell models describing basic properties of turbulence. The family of such models allows one to study turbulence close to thermal equilibrium, wh…
[Phys. Rev. E 108, 015103] Published Thu Jul 13, 2023
]]>A slitted base cavity of constant depth with a varying filling ratio is experimentally investigated to reduce the form drag of a three-dimensional blunt body (the so-called squareback Ahmed body) at a Reynolds number . The drag reduction is achieved by a decrease of base suction…
[Phys. Rev. E 108, 015101] Published Wed Jul 05, 2023
]]>We examine the conjecture of equivalence of nonequilibrium ensembles for turbulent flows in two dimensions in a dual-cascade setup. We construct a formally time-reversible Navier-Stokes equation in two dimensions by imposing global constraints of energy and enstrophy conservation. A comparative stud…
[Phys. Rev. E 108, 015102] Published Wed Jul 05, 2023
]]>We conduct an experimental study on the flow structures and dynamics of turbulent Rayleigh-Bénard convection in an annular cell with radius ratio and aspect ratio . The working fluid is water with a Prandtl number of , and the Rayleigh number (Ra) ranges from to . The…
[Phys. Rev. E 107, 065112] Published Thu Jun 29, 2023
]]>We study the influence of gravity on the dynamics of upward propagating premixed flames. We show that the role of gravity on the dispersion relation is small, but that the nonlinear effects are large. Using a Michelson Sivashinsky equation modified with a gravity term, it can be observed that the no…
[Phys. Rev. E 107, 065110] Published Wed Jun 28, 2023
]]>In order to probe the dynamics of contact-line motion, we study the macroscopic properties of sessile drops deposited on and then aspirated from carefully prepared horizontal surfaces. By measuring the contact angle and drop width simultaneously during droplet removal, we determine the changes in th…
[Phys. Rev. E 107, 065111] Published Wed Jun 28, 2023
]]>When two partially miscible systems are put in contact, one phase, A, can dissolve into the other one with a given solubility. Chemical reactions in the host phase can impact this dissolution by consuming A and by generating products that impact the solubility of A. Here, we study theoretically the …
[Phys. Rev. E 107, 065109] Published Tue Jun 27, 2023
]]>The three-dimensional reversible Navier-Stokes (RNS) equations are a modification of the dissipative Navier-Stokes (NS) equations, first introduced by Gallavotti [Phys. Lett. A 223, 91 (1996)], in which the energy or the enstrophy is kept constant by adjusting the viscosity over time. Spectral direc…
[Phys. Rev. E 107, 065106] Published Mon Jun 26, 2023
]]>We revisit the problem of heavy particles suspended in homogeneous box turbulence flow subjected to rotation along the vertical axis, which introduces anisotropy along the vertical and horizontal planes. We investigate the effects of the emergent structures due to rotation, on the spatial distributi…
[Phys. Rev. E 107, 065107] Published Mon Jun 26, 2023
]]>In this paper, the nonlinear behavior of immiscible viscous fingering in a circular Hele-Shaw cell under the action of different time-dependent injection flow rate schemes is assessed numerically. Unlike previous studies which addressed the infinite viscosity ratio (inviscid-viscous flow), the probl…
[Phys. Rev. E 107, 065108] Published Mon Jun 26, 2023
]]>The effect of wing shape on a forward-flying butterfly via decoupled factors of the wing-swept angle and the aspect ratio (AR) was investigated numerically. The wing-shape effect is a major concern in the design of a microaerial vehicle (MAV). In nature, the wing of a butterfly consists of partially…
[Phys. Rev. E 107, 065105] Published Fri Jun 23, 2023
]]>We consider the steady-state fingering instability of an elastic membrane separating two fluids of different density under external pressure in a rotating Hele-Shaw cell. Both inextensible and highly extensible membranes are considered, and the role of membrane tension is detailed in each case. Both…
[Phys. Rev. E 107, 065104] Published Thu Jun 22, 2023
]]>Prevailing diffusion-limited analyses of evaporating sessile droplets are facilitated by a quasisteady model for the evolution of vapor concentration in space and time. When attempting to employ that model in two dimensions, however, one encounters an impasse: the logarithmic growth of concentration…
[Phys. Rev. E 107, L063101] Published Tue Jun 20, 2023
]]>We derive general analytical expressions for the time-averaged acoustic radiation force on a small spherical particle suspended in a fluid and located in an axisymmetric incident acoustic wave. We treat the cases of the particle being either an elastic solid or a fluid particle. The effects of parti…
[Phys. Rev. E 107, 065103] Published Fri Jun 16, 2023
]]>Microswimmers can acquire information on the surrounding fluid by sensing mechanical queues. They can then navigate in response to these signals. We analyze this navigation by combining deep reinforcement learning with direct numerical simulations to resolve the hydrodynamics. We study how local and…
[Phys. Rev. E 107, 065102] Published Wed Jun 07, 2023
]]>Molecular dynamics simulations have been performed to study the dynamics of nanodroplets impacting on a flat superhydrophobic surface and surfaces covered with nanocone structures. We present a panorama of nanodroplet behaviors for a wide range of impact velocities and different cone geometrics, and…
[Phys. Rev. E 107, 065101] Published Tue Jun 06, 2023
]]>Transformation optics has been a powerful tool to manipulate physical fields if the governing equations in two spaces satisfy a certain form invariance. A recent interest has been applying this method to design hydrodynamic metamaterials described by the Navier-Stokes equations. However, transformat…
[Phys. Rev. E 107, 055108] Published Wed May 31, 2023
]]>We extensively study the Toner-Tu-Swift-Hohenberg model of motile active matter by means of direct numerical simulations in a two-dimensional confined domain. By exploring the space of parameters of the model we investigate the emergence of a new state of active turbulence which occurs when the alig…
[Phys. Rev. E 107, 055107] Published Tue May 23, 2023
]]>In this paper, using a shell model, we simulate highly turbulent stably stratified flow for weak to moderate stratification at unitary Prandtl number. We investigate the energy spectra and fluxes of velocity and density fields. We observe that for moderate stratification, in the inertial range, the …
[Phys. Rev. E 107, 055106] Published Wed May 17, 2023
]]>In many practical scenarios, a flying insect must search for the source of an emitted cue which is advected by the atmospheric wind. On the macroscopic scales of interest, turbulence tends to mix the cue into patches of relatively high concentration over a background of very low concentration, so th…
[Phys. Rev. E 107, 055105] Published Tue May 16, 2023
]]>We calculate the swimming speed of a Taylor sheet in a smectic- liquid crystal. Assuming that the amplitude of the wave propagating on the sheet is much smaller than the wave number, we solve the governing equations using the method of series expansion up to the second order in amplitude. We find t…
[Phys. Rev. E 107, 055104] Published Mon May 15, 2023
]]>A ferrofluid droplet confined in a Hele-Shaw cell can be deformed into a stably spinning “gear,” using crossed magnetic fields. Previously, fully nonlinear simulation revealed that the spinning gear emerges as a stable traveling wave along the droplet's interface bifurcates from the trivial (equilib…
[Phys. Rev. E 107, 055102] Published Thu May 11, 2023
]]>The centrifugal force in flow through a curved channel initiates a hydrodynamic instability that results in the development of Dean vortices, a pair of counter-rotating roll cells across the channel that deflect the high velocity fluid in the center toward the outer (concave) wall. When this seconda…
[Phys. Rev. E 107, 055103] Published Thu May 11, 2023
]]>A simple model for the friction experienced by the one-dimensional water chains that flow through subnanometer diameter carbon nanotubes is studied. The model is based on a lowest order perturbation theory treatment of the friction experienced by the water chains due to the excitation of phonon and …
[Phys. Rev. E 107, 055101] Published Tue May 02, 2023
]]>A parametric instability of an incompressible, viscous, and Boussinesq fluid layer bounded between two parallel planes is investigated numerically. The layer is assumed to be inclined at an angle with the horizontal. The planes bounding the layer are subjected to a time-periodic heating. Above a thr…
[Phys. Rev. E 107, 045104] Published Thu Apr 27, 2023
]]>We have performed the modal and nonmodal stability analyses of a gravity-driven three-dimensional viscous incompressible fluid flowing over an inclined plane in the presence of a uniform electric field acting normal to the plane at infinity. The time evolution equations are derived for normal veloci…
[Phys. Rev. E 107, 045105] Published Thu Apr 27, 2023
]]>Electrohydrodynamic (EHD) jet printing involves the deposition of a liquid jet issuing from a needle stretched under the effect of a strong electric field between the needle and a collector plate. Unlike the geometrically independent classical cone-jet observed at low flow rates and high applied ele…
[Phys. Rev. E 107, 045103] Published Thu Apr 13, 2023
]]>Universal properties of turbulence have been associated traditionally with very high Reynolds numbers, but recent work has shown that the onset of the power laws in derivative statistics occurs at modest microscale Reynolds numbers of the order of 10, with the corresponding exponents being consisten…
[Phys. Rev. E 107, 045102] Published Wed Apr 12, 2023
]]>We report the observation of nonlinear three-wave resonant interactions between two different branches of the dispersion relation of hydrodynamic waves, namely the gravity-capillary and sloshing modes. These atypical interactions are investigated within a torus of fluid for which the sloshing mode c…
[Phys. Rev. E 107, 045101] Published Tue Apr 11, 2023
]]>We have assessed the assumption of local thermodynamic equilibrium in a shock wave by comparing local thermodynamic data generated with nonequilibrium molecular dynamics (NEMD) simulations with results from corresponding equilibrium simulations. The shock had a Mach number approximately equal to 2 i…
[Phys. Rev. E 107, 035108] Published Thu Mar 30, 2023
]]>Despite recent advances in pore-scale modeling of two-phase flow through porous media, the relative strengths and limitations of various modeling approaches have been largely unexplored. In this work, two-phase flow simulations from the generalized network model (GNM) [Phys. Rev. E 96, 013312 (2017)…
[Phys. Rev. E 107, 035107] Published Wed Mar 22, 2023
]]>Droplets suspended in fluids flowing through microchannels are often encountered in different contexts and scales, from oil extraction down to microfluidics. They are usually flexible and deform as a product of the interplay between flexibility, hydrodynamics, and interaction with confining walls. D…
[Phys. Rev. E 107, 035106] Published Tue Mar 21, 2023
]]>The generation of spikes and bubbles, a typical characteristic of the nonlinear regime in the Rayleigh-Taylor instability, is found to occur as well during the linear regime in an elastic-plastic solid medium caused, however, by a very different mechanism. This singular feature originates in the dif…
[Phys. Rev. E 107, 035105] Published Mon Mar 20, 2023
]]>We study ultrasonic resonance in a coflow system comprising a pair of immiscible liquids in a microchannel exposed to bulk acoustic waves. We show using an analytical model that there are two resonating frequencies corresponding to each of the coflowing liquids, which depend on the speed of sound an…
[Phys. Rev. E 107, 035104] Published Mon Mar 06, 2023
]]>We study the wrinkling dynamics of three-dimensional vesicles in a time-dependent elongation flow by utilizing an immersed boundary method. For a quasispherical vesicle, our numerical results well match the predictions of perturbation analysis, where similar exponential relationships between wrinkle…
[Phys. Rev. E 107, 035103] Published Fri Mar 03, 2023
]]>Recent studies of elastocapillary phenomena have triggered interest in a basic variant of the classical Young-Laplace-Dupré (YLD) problem: the capillary interaction between a liquid drop and a thin solid sheet of low bending stiffness. Here we consider a two-dimensional model where the sheet is subj…
[Phys. Rev. E 107, 035101] Published Wed Mar 01, 2023
]]>We study two-dimensional incompressible inertial flows through porous media. At core (small) scale, we prove that the constitutive, nonlinear model can be rewritten into a linear one by means of a new parameter which encompasses all the inertial effects. In natural (large-scale) formations, is…
[Phys. Rev. E 107, 035102] Published Wed Mar 01, 2023
]]>We present a rigorous derivation of the point vortex model starting from the two-dimensional nonlinear Schrödinger equation, from the Hamiltonian perspective, in the limit of well-separated, subsonic vortices on the background of a spatially infinite strong condensate. As a corollary, we calculate t…
[Phys. Rev. E 107, 025107] Published Fri Feb 24, 2023
]]>We consider the line, surface, and volume elements of fluid in stationary isotropic incompressible stochastic flow in -dimensional space and investigate the long-time evolution of their statistic properties. We report the discovery of a family of stochastical integrals of motion that are unive…
[Phys. Rev. E 107, L023101] Published Thu Feb 23, 2023
]]>In rotating Hele-Shaw flows, centrifugal force acts, and the interface separating two viscous fluids becomes unstable, driven by the density difference between them. Complex interfacial structures develop where fingers of various shapes and sizes grow, and compete. These patterns have been well stud…
[Phys. Rev. E 107, 025105] Published Tue Feb 21, 2023
]]>Using the field theoretic formulation of the kinematic magnetohydrodynamic turbulence, the explicit expressions for the anomalous dimensions of leading composite operators, which govern the inertial-range scaling properties of correlation functions of the weak magnetic field passively advected by th…
[Phys. Rev. E 107, 025106] Published Tue Feb 21, 2023
]]>We elucidate the theoretical relationships among fundamental physical concepts that are involved in the diffuse interface modeling for an isothermal single-component liquid-vapor system, which cover both the equation of state (EOS) and the surface tension force. As an example, a flat surface at equi…
[Phys. Rev. E 107, 025104] Published Fri Feb 17, 2023
]]>A three-dimensional blunt-base bluff body in a uniform flow is subjected to long-time stochastic dynamics of switching between two opposite wake states. This dynamic is investigated experimentally within the Reynolds number range Re . Long-time statistics coupled to a sensitivity analysis to…
[Phys. Rev. E 107, 025103] Published Thu Feb 16, 2023
]]>The steady streaming generated near solid walls by the periodic forcing of a viscous fluid is known to be strongly enhanced near sharp structures, owing to centrifugal effects that lead to the generation of an intense jet from the sharp tip. This flow has been shown to provide efficient active mixin…
[Phys. Rev. E 107, 025102] Published Mon Feb 13, 2023
]]>The effect of temperature on friction and slip at the liquid-solid interface has attracted attention over the last 20 years, both numerically and experimentally. However, the role of temperature on slip close to the glass transition has been less explored. Here we use molecular dynamics to simulate …
[Phys. Rev. E 107, 025101] Published Mon Feb 06, 2023
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