Viscous fingering instabilities reduce the efficiency of immiscible displacement processes in radial Hele-Shaw flows. Time-dependent injection protocols provide a practical means of mitigating these instabilities, and previous studies have shown that linearly increasing injection rates can strongly …

[Phys. Rev. E 114, 035105] Published Thu Sep 10, 2026

For gas mixtures flowing through conical capillaries with small feature sizes, intermolecular collisions compete with ballistic transport. This leads to discrepancies between real flow rates and predicted results by conventional hydraulic methods. A model is established to calculate the flow rates o…

[Phys. Rev. E 114, 035103] Published Tue Sep 08, 2026

We present a time-dependent pore-network model that couples transient mass transfer in the aqueous phase, capillary pressure heterogeneity, and realistic pore-throat geometries to capture the dynamic evolution of gas clusters during Ostwald ripening in porous media. The model is applied to Bentheime…

[Phys. Rev. E 114, 035104] Published Tue Sep 08, 2026

Theoretical expressions used to study the assembly of magnetic particles under the action of external magnetic fields are generalized to incorporate carrier fluids with varying viscosity (shear thinning fluids). The theory is essentially local, and the drag force assigned to each particle considers …

[Phys. Rev. E 114, 035102] Published Wed Sep 02, 2026

We study wave turbulence in systems with two special properties: a large number of fields (large $N$) and a nonlinear interaction that is strongly local in momentum space. The first property allows us to find the kinetic equation at all interaction strengths—both weak and strong, at leading order in $1\dots$

[Phys. Rev. E 114, 035101] Published Tue Sep 01, 2026

We present an analytical investigation of the global helicity budget associated with the salt-fingering instability within the two-dimensional, three-component framework. Our analysis shows that in the region of parameter space corresponding to salt fingering, helicity amplification occurs when the …

[Phys. Rev. E 114, L023101] Published Thu Aug 27, 2026

Previous studies dealing with Floquet stability analysis of non-zero-mean time-modulated Rayleigh-Bénard convection have shown the existence of only harmonic and subharmonic instability modes. Here, we emphasize the existence of quasiperiodic instabilities that have not yet been reported in the lite…

[Phys. Rev. E 114, 025108] Published Mon Aug 24, 2026

Wall roughness plays a central role in determining turbulent friction in pipe flows, yet most predictive frameworks continue to characterize the wall by a single effective roughness scale. Classical datasets—notably Nikuradse's sand-grain experiments and the rough-pipe measurements of Colebrook and …

[Phys. Rev. E 114, 025109] Published Mon Aug 24, 2026

A theory inspired by whale tracking suggests that interference could make the peak of a light-wave packet appear to travel faster than light—without transmitting information superluminally.

[Phys. Rev. E 114, 025107] Published Tue Aug 18, 2026

The theory of using transducer arrays for the contactless and stable manipulation of Rayleigh objects ($ka\ll 1$, where $k$ is the wave number and $a$ is the averaged radius of object) is well established, whereas retrieving the transducer parameters required for the stable and dynamic manipulation of Mie ob…

[Phys. Rev. E 114, 025106] Published Mon Aug 17, 2026

The stationary equilibria of $N$ point vortices in a rectangular domain with doubly periodic boundary conditions offer a foundational framework for understanding the stationary lattices of coherent vortex structures. In this paper, we obtain new continuous families of these lattices. These solutions a…

[Phys. Rev. E 114, 025105] Published Thu Aug 13, 2026

A scale-by-scale analysis of energy flux in the turbulent cascade can be performed using the spatially filtered magnetohydrodynamic (MHD) equations, while the gradient tensor invariants are widely used to characterize the structure of velocity and magnetic fields. Physical mechanisms responsible for…

[Phys. Rev. E 114, 025102] Published Mon Aug 10, 2026

This study presents an analytical solution of the two-dimensional concentration distribution of a contaminant in a channel with a prismatic cross-section and asymmetric velocity distribution, influenced by reversible and irreversible reactions, along with the bulk chemical reaction. Recent works by …

[Phys. Rev. E 114, 025103] Published Mon Aug 10, 2026

Odd fluids are a class of fluids characterized by nonzero antisymmetric transport coefficient tensors induced by broken time-reversal symmetry. In our previous work, a mesoscale simulation model for two-dimensional isotropic odd fluids was developed. Here, we extend the model to the three-dimensiona…

[Phys. Rev. E 114, 025104] Published Mon Aug 10, 2026

Capillarity-dominated two-phase displacement in porous media can continue beyond the initial invasion-percolation (IP) breakthrough when surfactants progressively modify interfacial properties and reopen pathways previously sealed by capillary barriers. We study this post-breakthrough secondary inva…

[Phys. Rev. E 114, 025101] Published Thu Aug 06, 2026

The significance of small-scale forcing of particles on the carrier two-dimensional turbulent flow has been shown to influence the spectral scaling properties of the carrier fluid. We investigate possible consequences of such two-way coupling in a turbulent suspension of inertial particles through o…

[Phys. Rev. E 114, 015106] Published Thu Jul 30, 2026

We experimentally investigate the dynamics of synthetic active particles composed of gravitationally bouncing, superwalking droplets confined within an annular fluid bath. Driven by a topologically pumping dual-frequency waveform, the droplets exhibit alternating active (walking) and dormant (bounci…

[Phys. Rev. E 114, L013103] Published Tue Jul 28, 2026

A recent study [P. Rajamanickam, Q. J. Mech. Appl. Math. 78, hbaf007 (2025)] of non-Boussinesq fluids in narrow channels identified a novel shear-induced horizontal buoyancy force that emerges upon depth-averaging the Navier–Stokes equations. This Letter demonstrates that this force is formally equi…

[Phys. Rev. E 114, L013102] Published Mon Jul 27, 2026

The solute transport due to mixed electro-osmotic and pressure-driven flows of viscoelastic fluids in microchannels is studied here. The Reynolds decomposition technique, in combination with the assumptions underlying the Taylor-Aris theory, is used to derive a reduced-order model that yields the di…

[Phys. Rev. E 114, 015105] Published Mon Jul 20, 2026

Zermelo's navigation problem seeks the trajectory of minimal travel time between two points in a fluid flow. We address this problem for an agent—such as a floating drone or active particle—that is advected by a two-dimensional flow, self-propels at a fixed speed smaller than or comparable to the ch…

[Phys. Rev. E 114, 015104] Published Fri Jul 17, 2026

Active proteins and membrane-bound motors exert force dipole flows along fluid interfaces and lipid bilayers. We develop a Hamiltonian framework for the interactions of pusher and puller dipoles embedded in an incompressible two-dimensional membrane supported by a shallow viscous subphase. Beginning…

[Phys. Rev. E 114, 015102] Published Mon Jul 13, 2026

We introduce a nonequilibrium thermodynamic (NET) framework for immiscible two-phase flow in porous media, in which the total flux of both phases is driven by the gradient of an effective pressure. We show that the classical two-phase Darcy formulation emerges as a projected limit of the full linear…

[Phys. Rev. E 114, 015103] Published Mon Jul 13, 2026

Subcritical transition to turbulence, in which the laminar state is linearly stable yet finite-amplitude perturbations develop into turbulence, is ubiquitous but predicting it from the structure of the governing equations remains difficult. We demonstrate such a framework using a shell model of turb…

[Phys. Rev. E 114, L013101] Published Wed Jul 08, 2026

This study investigates the evolution mechanism of elastic instability in a bilateral double-cavity channel through numerical simulations and microfluidic experiments. Depending on the Weissenberg number ($\text{Wi}$), the flow is categorized into three regimes: stable symmetric vortex structures at low $\text{Wi}$ ($\text{…}$

[Phys. Rev. E 114, 015101] Published Wed Jul 01, 2026

Water-wave focusing is a significant technology for enhancing wave energy density, which can effectively improve the efficiency of the wave energy converter. To achieve parabolic focusing of water waves using a straight boundary, the space transformation method (STM) was employed to map a parabolic …

[Phys. Rev. E 113, 065110] Published Fri Jun 26, 2026

The development of hydrodynamic instabilities may be significantly affected by the presence of suprathermal high-energy particles (HEPs). These effects are particularly pronounced in high-energy-density plasmas. We develop a single-equation diffusion-type turbulence model that describes the turbulen…

[Phys. Rev. E 113, 065111] Published Fri Jun 26, 2026

The oscillatory dynamics of trapped nonwetting fluids in pore constrictions influence multiphase flow and transient fluid mobility in geologic media. Although the small-amplitude linear response is relatively well understood, the mechanism responsible for nonlinear behavior at finite-amplitudes rema…

[Phys. Rev. E 113, 065109] Published Tue Jun 23, 2026

The reoriented potential mixer (RPM) can enhance mixing and reaction during in situ remediation of contaminated groundwater, in which a chemical or biological amendment is introduced into a contaminant plume to react with and degrade the contaminant. Each step of the RPM consists of dipole flow betw…

[Phys. Rev. E 113, 065108] Published Thu Jun 18, 2026

We study the flow of a Bingham yield stress fluid in a pore network model where the throats have radii drawn from a uniform distribution. We consider the case in which a fraction of the largest radii is blocked. The fluid can flow only through the percolating cluster that exists when the fraction is…

[Phys. Rev. E 113, 065107] Published Tue Jun 16, 2026

Regulating droplet-surface contact time is a core demand for optimizing performance in inkjet printing, spray cooling, agricultural spraying, and other industrial fields. Conventional strategies relying on surface microstructure modification suffer from high fabrication costs and compromised surface…

[Phys. Rev. E 113, 065104] Published Mon Jun 15, 2026

Spanwise Wall Oscillation is a promising active flow control technique for turbulent skin-friction drag reduction (DR). While the effectiveness of the method in incompressible flows is well documented, its performance in compressible regimes, and the underlying physical mechanisms, particularly thos…

[Phys. Rev. E 113, 065105] Published Mon Jun 15, 2026

We present an isothermal global Buckley-Leverett framework for multicomponent, multiphase flow in porous and fractured media that retains the interpretability of classical Buckley-Leverett while incorporating essential physics: equation-of-state-based phase behavior, multicomponent Maxwell-Stefan di…

[Phys. Rev. E 113, 065106] Published Mon Jun 15, 2026

In even spatial dimensions, solutions of the wave equation violate Huygens' principle, producing a persistent wake tail inside the light cone rather than a sharply localized propagating front. This intrinsic tail complicates refocusing. Here, we examine how the wake-tail structure of the two-dimensi…

[Phys. Rev. E 113, 065102] Published Thu Jun 11, 2026

We present an analytical model for the frequency response of a gas microbubble oscillating near a spherical inclusion of arbitrary size and mechanical nature (rigid, fluid, or viscoelastic) immersed in a viscous compressible fluid. The model considers both radial and nonspherical oscillations in the…

[Phys. Rev. E 113, 065103] Published Thu Jun 11, 2026

An ensemble model of turbulence based on states with constant flux in wavenumber space was proposed in [K. Yoshida, Phys. Rev. E 106, 045106 (2022)]. The justification of this ensemble model relies on the conjecture that almost all states with constant flux correspond to turbulence states. To verify…

[Phys. Rev. E 113, 065101] Published Mon Jun 01, 2026

Diffuse interface methods for multiphase flow simulations often exhibit nonphysical droplet or bubble shrinkage, particularly when based on the Cahn-Hilliard equation. This well-known artifact introduces a critical radius below which droplets vanish, thereby limiting the fidelity of simulations invo…

[Phys. Rev. E 113, 055107] Published Mon May 18, 2026

We present a theoretical framework for unidirectional electromagnetohydrodynamic flow of dilute electrolytes under perpendicular magnetic fields. Starting from the Navier-Stokes equation coupled with the Poisson-Nernst-Planck formulation, we show that the problem admits a sequential decoupling: the …

[Phys. Rev. E 113, 055105] Published Mon May 11, 2026

We develop a quantitative framework to determine the minimal periodic supercell required for representative simulations of capillarity-screened Darcy flow in stationary random, polydisperse granular media. The microstructure is characterized by two-point statistics (covariance and spectral density) …

[Phys. Rev. E 113, 055106] Published Mon May 11, 2026

Walkers (i.e., bouncing droplets coupled to a local Faraday wave) are sent on an orthogonal standing wave. The trajectories of successive walkers form a straight-propagating beam toward the wave that splits into three distinct paths during the interaction with the wave. At the end of the interaction…

[Phys. Rev. E 113, 055104] Published Fri May 08, 2026

Micronanorobotic swimmers have promising potential for future biomedical tasks such as targeted drug delivery and minimally invasive diagnosis. An efficient method for controlled actuation of such nanoswimmers is applying a rotating external magnetic field, resulting in helical corkscrewlike locomot…

[Phys. Rev. E 113, 055103] Published Wed May 06, 2026

A fluid with broken time-reversal symmetry would exhibit odd transport coefficients, such as odd viscosity, thermal conductivity, and diffusion coefficient, which may fundamentally alter the fluid properties and significantly influence the structure and dynamics of immersed objects. Here, we develop…

[Phys. Rev. E 113, 055102] Published Tue May 05, 2026

This paper introduces a data-driven framework for constructing accurate and general equivariant models of multiscale phenomena which does not rely on specific assumptions about the underlying physics. This framework is illustrated using incompressible fluid turbulence as an example that is represent…

[Phys. Rev. E 113, 055101] Published Mon May 04, 2026

In recent years, significant progress has been made in Fokker-Planck (FP) approximations of the Boltzmann equation, where binary collisions are modeled as drift and diffusion processes in velocity space. To address the discrepancy in the Prandtl number for the original linear FP model, several modif…

[Phys. Rev. E 113, 045107] Published Tue Apr 28, 2026

The drag force on planar structures of arbitrary shape is derived in free molecular flow using gas kinetic theory. The theory is formulated by considering the anisotropic intermolecular potential between the particle and gas molecules, in the limits of specular and diffuse scatterings. The drag forc…

[Phys. Rev. E 113, 045106] Published Mon Apr 20, 2026

We demonstrate that the Chapman-Enskog series is locally equivalent to the exact spectral closure defined on slow kinetic eigenmodes in the limit of vanishing Knudsen number. We further show that the Chapman-Enskog series diverges everywhere except at the global equilibrium for an explicit example, …

[Phys. Rev. E 113, 045105] Published Tue Apr 14, 2026

The Madelung equations offer a hydrodynamic description of quantum systems, from single particles to quantum fluids. In this formulation, the probability density is mapped onto the fluid density and the phase is treated as a scalar potential generating the velocity field. As examples of potential fl…

[Phys. Rev. E 113, 045104] Published Mon Apr 13, 2026

An analytical solution based on a diffuse-interface model is presented for an isothermal evaporation problem at subsaturated vapor pressure. The macroscopic equations are derived from the free-energy formulation widely used in the lattice Boltzmann literature, distinguishing our approach from conven…

[Phys. Rev. E 113, 045103] Published Fri Apr 10, 2026

The generation of skin friction in a spatially evolving turbulent boundary layer at a Mach number ${\text{Ma}}_{\infty }=2.9$ is analyzed using direct numerical simulation (DNS). Particular attention is paid to clarifying the impact of the turbulent/nonturbulent interface (TNTI) height on the skin friction. In contrast…

[Phys. Rev. E 113, 045102] Published Tue Apr 07, 2026

This study examines interscale energy transfer, conventionally denoted as the “energy cascade,” in forced homogeneous isotropic turbulence. By employing spatial filtering techniques, the turbulent kinetic energy is decomposed into distinct large- and small-scale components, as well as local- and sub…

[Phys. Rev. E 113, 045101] Published Wed Apr 01, 2026

Topological entropy serves as a viable candidate for quantifying mixing and complexity of a highly chaotic system. Particularly in turbulence, this is determined as the exponential stretching rate of a fluid material line that typically necessitates a Lagrangian description. We extend our recent wor…

[Phys. Rev. E 113, 035107] Published Mon Mar 30, 2026

Numerical simulations of surface acoustic wave (SAW)-induced acoustic streaming are highly sensitive to the choice of second-order boundary conditions. This study systematically compares the no-slip (NS) and Stokes slip (SD) boundary conditions through different numerical approaches. Two- and three-…

[Phys. Rev. E 113, 035105] Published Wed Mar 25, 2026

We derive the quantum potential directly from the material derivative of the osmotic velocity and formulate a two-fluid model that reproduces the Madelung equations. Interactions between the two fluids are included but remain secondary. The framework is generalized to incorporate electromagnetic fie…

[Phys. Rev. E 113, 035106] Published Wed Mar 25, 2026

In this work, we investigate the possibility of suppressing injection-driven, viscous fingering instabilities in a radial Hele-Shaw cell, via the action of centrifugal forces. We consider the situation in which an inviscid fluid of negligible density is injected into a viscous and denser one, while …

[Phys. Rev. E 113, 035103] Published Tue Mar 24, 2026

The interaction between flexible bodies and fluids is very complex, however, studying this mechanism helps us understand how natural plants deform in response to fluid flow to prevent structural damage. Due to the complexity of fluid-structure interaction, there is a lack of methods for quickly and …

[Phys. Rev. E 113, 035104] Published Tue Mar 24, 2026

How a magnetic-bead-laden droplet is manipulated by a magnetic field remains a challenging topic of quantitative investigation. In this paper, we propose a theoretical model to investigate the equilibrium states of a magnetic-bead-laden droplet placed over either a bottomed superhydrophobic cylindri…

[Phys. Rev. E 113, 035102] Published Wed Mar 11, 2026

We develop the Kazantsev theory of small-scale dynamo generation at small Prandtl numbers near the generation threshold and restore the concordance between the theory and numerical simulations: the theory predicted a power-law decay below the threshold, while simulations demonstrate exponential deca…

[Phys. Rev. E 113, 035101] Published Mon Mar 02, 2026

Active Stokesian suspensions are conventionally understood to generate dipolar stresses that destabilize aligned states in the bulk and drive systemwide spatiotemporally chaotic flows. Here, we report dynamics in suspensions of torque-driven spinning chiral particles that exhibit a distinct and prev…

[Phys. Rev. E 113, L023101] Published Thu Feb 26, 2026

An experimental investigation was conducted to explore the interplay of turbulence and noninertial effects introduced by off-axis rotation on isotropic-turbulence dynamics using tomographic particle image velocimetry. A cubic box, generating isotropic turbulence with the aid of eight mixers position…

[Phys. Rev. E 113, 025104] Published Thu Feb 19, 2026

The forcing of a micron sized gas bubble by an acoustic traveling wave in water is considered using a model which includes axisymmetric shape mode interactions to third order. In all cases, the resultant bubble motion is predicted to consist of small scale periodic oscillations superimposed upon a l…

[Phys. Rev. E 113, 025103] Published Wed Feb 18, 2026

This paper explores the catastrophic energy transformations, in particular the ones leading to the generation of a flow in a weakly rotating self-gravitating fluid/gas found, for instance, in the vicinity of a massive compact object. Because of the similarity in the governing equations, the system d…

[Phys. Rev. E 113, 025102] Published Fri Feb 13, 2026

We present a theoretical investigation of the mixing dynamics of two constituent fluids within a soft rotating microfluidic channel. We solve a coupled system of transport equations, governing the mixing dynamics in this endeavor, with the associated symmetric and antisymmetric boundary conditions u…

[Phys. Rev. E 113, 025101] Published Mon Feb 02, 2026

Electrolyte-filled channels with modulated wall charge distribution subjected to an applied DC electric field form time-independent vortices whose sense of circulation is determined by the field direction [Phys. Rev. Lett. 75, 755 (1995)]. In this paper, we show that an electrolyte in a channel or c…

[Phys. Rev. E 113, 015106] Published Fri Jan 30, 2026

This work investigates the dynamics of dual-drop impact on a solid surface, encompassing both simultaneous and nonsimultaneous side-by-side impact of equal-sized drops, as well as successive impact of unequal-sized drops. Numerical simulations are performed using smoothed particle hydrodynamics meth…

[Phys. Rev. E 113, 015105] Published Thu Jan 29, 2026

A single droplet can be effectively isolated from a capillary liquid jet by applying a short-duration velocity oscillatory pulse at its exit from the nozzle outlet. The previous temporal analysis of F. J. García et al. [Phys. Rev. E 100, 053111 (2019)], which modeled the jet as an infinite liquid c…

[Phys. Rev. E 113, 015104] Published Tue Jan 27, 2026

Vascular networks exhibit a remarkable diversity of architectures and transport mechanisms across biological systems. Inspired by embolism propagation in plant xylem, where air invades water-filled conduits under negative pressure, we study air penetration in compliant one-dimensional hydrodynamic n…

[Phys. Rev. E 113, 015103] Published Wed Jan 14, 2026

We investigate the wrinkling dynamics of a long, flat filament immersed in a viscous fluid subjected to compression at a constant rate. Typical wrinkling dynamics proceed through three stages: initiation, development, and relaxation. The first stage, during which high mode perturbations increase exp…

[Phys. Rev. E 113, 015102] Published Tue Jan 13, 2026

A shell model can be considered as a self-similar chain of interacting triads, where each triad can be interpreted as a nonlinear oscillator that can be mapped to a spinning top. Investigating the relation between phase dynamics and intermittency in such a chain of nonlinear oscillators, it is found…

[Phys. Rev. E 113, 015101] Published Fri Jan 09, 2026

Immiscible two-phase flow in porous media occurs in many processes, such as enhanced oil recovery (EOR), as well as oil spill and soil remediation. These processes involve a fluid displacing another immiscible fluid within the confines of a heterogeneous porous structure. The invasion pattern genera…

[Phys. Rev. E 112, 065108] Published Fri Dec 26, 2025

Extensive optical measurements of canonical turbulent pipe flows have revealed the existence of structural boundary states (SBSs)—near-wall low-speed streaks strongly correlated with pairs of counter-rotating quasistreamwise vortices. In this study, we investigate the number fluctuations of these st…

[Phys. Rev. E 112, 065106] Published Mon Dec 22, 2025

Cavitation is a process where bubbles form and collapse within a fluid with dynamic, spatially varying pressure. This phenomenon can concentrate energy density by 12 orders of magnitude, creating light-emitting plasma or damaging nearby surfaces. A key question in cavitation theory and experiments i…

[Phys. Rev. E 112, 065107] Published Mon Dec 22, 2025

We present a demonstration of finite-time gradient blow-ups in Israel-Stewart (IS) theories with $1+1\mathrm{D}$ plane symmetry, mathematically showing the existence of smooth initial data that can evolve into shocks across three regimes: pure bulk viscosity, shear viscosity, and diffusion. Through numerical s…

[Phys. Rev. E 112, 065105] Published Fri Dec 19, 2025

This work investigates the influence of convective transport within a sedimenting drop on the exit time of a colloidal particle. Using Brownian dynamics simulations, we compute exit times for particles originating from various locations inside the drop over a range of Péclet numbers ($\text{Pe}$). The Péclet…

[Phys. Rev. E 112, 065104] Published Wed Dec 17, 2025

Active particles are nonequilibrium entities that uptake energy and convert it into self-propulsion. A dynamically rich class of inertial active particles having features of wave-particle coupling and wave memory are walking/superwalking droplets. Such classical, active wave-particle entities (WPEs)…

[Phys. Rev. E 112, 065103] Published Mon Dec 08, 2025

Perfluorohexane is a biocompatible material that serves as a liquid core for acoustically responsive agents in biomedical applications. Despite its relatively widespread usage, there is a lack of experimental data determining its thermodynamic properties. This challenges numerical simulations to pre…

[Phys. Rev. E 112, 065101] Published Mon Dec 01, 2025

In standard rotating Hele-Shaw cell flows, an initially circular fluid drop, surrounded by an outer fluid of negligible density and viscosity, is centered at the rotation axis of the cell. The interplay of centrifugal and surface tension forces leads to the emergence of intricate interfacial pattern…

[Phys. Rev. E 112, 065102] Published Mon Dec 01, 2025

Debris flows often exhibit coherent wave structures—shocklike roll waves on steeper slopes and weaker, more sinusoidal dispersive pulses on gentler slopes. Coarse-rich heads raise basal resistance, whereas fines-rich tails lower it; in gentle reaches, small-amplitude pulses can locally transport mom…

[Phys. Rev. E 112, 055112] Published Mon Nov 24, 2025

Microswimmer locomotion in heterogeneous media is increasingly relevant in biological physics due to the prevalence of microorganisms in complex environments. A model for such porous media is the Brinkman fluid, which accounts for a sparse matrix of stationary obstacles via a linear resistance term …

[Phys. Rev. E 112, 055110] Published Tue Nov 18, 2025

We study effective mixing behavior of solutes in steady flows through three-dimensional random fracture networks and find that mixing in these systems is characterized by phenomena distinct from continuous porous media. Network-scale heterogeneity leads to the complex spatio-temporal organization of…

[Phys. Rev. E 112, 055111] Published Tue Nov 18, 2025

Sampling synthetic turbulent fields as a computationally tractable surrogate for direct numerical simulations (DNS) is an important practical problem in various applications, and allows us to test our physical understanding of the main features of real turbulent flows. Reproducing higher-order Euler…

[Phys. Rev. E 112, 055108] Published Mon Nov 17, 2025

This study introduces an approach to extend the Keller and Skalak (KS) theory by integrating the modified Riemann-Liouville fractional derivative. Our focus is on investigating the transition of red blood cells from flipping to stationary motion within shear flows. Expanding upon the predictions out…

[Phys. Rev. E 112, 055109] Published Mon Nov 17, 2025

We derive a nonlocal Ostrovsky equation to describe two internal waves generated at distinct locations and times, together with their correlations and interactions. When the initial conditions are $\widehat{P}\widehat{T}$ symmetry invariant, the internal waves can either exhibit cnoidal wave structures that are largely…

[Phys. Rev. E 112, 055104] Published Wed Nov 12, 2025

Deep autoencoder neural networks can generate highly accurate, low-order representations of turbulence. We design a family of autoencoders which are a combination of a “dense-block” encoder-decoder structure [Page et al., J. Fluid Mech. 991, A10 (2024)], an "implicit rank minimization" series of lin…

[Phys. Rev. E 112, 055105] Published Wed Nov 12, 2025

We investigate the Taylor-Aris dispersion resulting from oscillatory squeeze flow (OSF) of an Oldroyd-B viscoelastic fluid in the gap between two hydrophobic disks. The slippage between the fluid and the surfaces of both disks is modeled using a dynamic slip boundary condition, which accounts for pe…

[Phys. Rev. E 112, 055106] Published Wed Nov 12, 2025

Walkers are oil drops surfing on a vibrated oil surface and driven by their self-generated capillary waves. Since some of the first measurements on walkers seemingly showed quantum-like behavior, walkers have been considered a model system for a hydrodynamic pilot-wave system. An early experiment sh…

[Phys. Rev. E 112, 055107] Published Wed Nov 12, 2025

The Cahn-Hilliard equation, as a classical diffusion-interface method of phase field, has been extensively employed for simulating two-phase fluid dynamics. However, it suffers from a key challenge in the simulation process, specifically the volume conservation of each phase cannot be guaranteed. To…

[Phys. Rev. E 112, 055103] Published Thu Nov 06, 2025

Hydrodynamic interactions play a crucial role in the formation of flagellated microswimmer clusters, yet they are still not clearly understood. In this article we try to elucidate the influence mechanism of the flagellum elasticity on the clustering-separation process of two flagellated microswimmer…

[Phys. Rev. E 112, 055101] Published Tue Nov 04, 2025

We develop a comprehensive three-dimensional theory to describe the hydrodynamics of magnetic nanoparticles exposed to an external time-dependent magnetic field. This theory extends the mobility matrix formalism developed by J. Happel, to (quasi-) magnetostatic interactions and incorporates Brownian…

[Phys. Rev. E 112, 055102] Published Tue Nov 04, 2025

This work proposes a model to simulate transient flow of a gas mixture at arbitrary rarefaction parameters and molar fractions through a long capillary. The transient model is based on the linear relationship between the thermodynamic fluxes (mass flow rate, diffusion flux, etc.) and the thermodynam…

[Phys. Rev. E 112, 045110] Published Fri Oct 31, 2025

The study of large-scale convective flows within a spherical gap has been the focus of numerous theoretical and numerical investigations because of its relevance to geophysical applications. This is particularly true in scenarios where the inner surface is warmer than the outer surface, and the flui…

[Phys. Rev. E 112, 045109] Published Wed Oct 22, 2025

Dynamic wetting poses a well-known challenge in classical sharp-interface formulation as the no-slip wall condition leads to a contact line singularity that is typically regularized with a Navier boundary condition, often requiring empirical fitting for the slip length. On the other hand, this parad…

[Phys. Rev. E 112, 045108] Published Tue Oct 21, 2025

Fractal features of permeable (e.g., porous or/and fractured) medium strongly affect the imbibition behavior in the Lucas-Washburn-like scaling regime. Mapping a spontaneous imbibition in a fractally permeable medium onto a fractal continuum flow allows us to establish the relations between the imbi…

[Phys. Rev. E 112, 045107] Published Mon Oct 20, 2025

Nanoporous capsules have been the subject of intense investigation in the field of drug delivery. One of the essential properties of such particles, which requires characterization, is their structure. Many experimental techniques have been used for this purpose, such as wide-angle neutron or x-ray …

[Phys. Rev. E 112, 045106] Published Fri Oct 17, 2025

Acoustic pressure nodes in acoustophoretic devices are crucial for applications in tissue engineering, cell analysis, and particle trapping. Typically, a single primary node forms at the half-wavelength resonance condition, with its shape and position constrained by the channel dimensions. The gener…

[Phys. Rev. E 112, 045105] Published Thu Oct 16, 2025

Polar regions are covered by sea ice, which can be seen as a thin solid elastic sheet with heterogeneous mechanical properties. The dynamics of deformation of a floating solid sheet is primarily governed by gravity, water density, and the flexural modulus, which depends on its mechanical properties,…

[Phys. Rev. E 112, 045104] Published Wed Oct 15, 2025

Binary droplet collisions exhibit four primary outcomes at Weber number (We) below 100, i.e., bouncing, coalescence, reflexive separation, and stretching separation. At We exceeding 300, shattering becomes prominent, characterized by the catastrophic disintegration of the merged mass and ejection of…

[Phys. Rev. E 112, 045103] Published Tue Oct 14, 2025

Here, we propose a valveless nanopump model, featuring a two-dimensional graphene slit that can only accommodate a single layer of water molecules. Using molecular dynamics simulations, we demonstrate the feasibility of inducing water transport via mechanical vibrations at the slit entrance, even in…

[Phys. Rev. E 112, 045102] Published Mon Oct 06, 2025

We obtain the equations of fluctuating hydrodynamics for many-particle systems whose microscopic units have both translational and rotational motion. The orientational dynamics of each element are studied in terms of Langevin equations for the rotational motion of a corresponding fixed-length direct…

[Phys. Rev. E 112, 045101] Published Wed Oct 01, 2025

Ternary systems driven by concentration-dependent diffusion coefficients were studied aboard the International Space Station. A range of new patterning possibilities and the coexistence of gravitational instabilities, previously thought impossible in nonreactive systems, were uncovered.

#ClearMotivation #ElegantVisuals

[Phys. Rev. E 112, L033101] Published Thu Sep 25, 2025

Direct numerical simulation is utilized to resolve the drag and turbulent characteristics of supersonic fully developed channel turbulence in this paper. Distinct from spatially developing turbulence, a relaxation of the skin friction coefficient is discovered after blowing in fully developed turbul…

[Phys. Rev. E 112, 035104] Published Tue Sep 23, 2025

This study investigates the influence of varying degrees of freedom (DOFs) on the swimming performance of self-propelled undulatory swimmers navigating a straight path in three flow configurations: an unbounded fluid, near a solid wall, and in a side-by-side arrangement. Vertical and rotational DOFs…

[Phys. Rev. E 112, 035103] Published Fri Sep 19, 2025