Physical Review E
Reduced-order model for solute transport in mixed electro-osmotic and pressure-driven flows of viscoelastic fluids in microchannels
Author(s): Morteza Dejam and Hassan Hassanzadeh
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
Optimal navigation in two-dimensional flows: Control theory and reinforcement learning
Author(s): Vladimir Parfenyev
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
Hamiltonian active particles in incompressible fluid membranes
Author(s): Sneha Krishnan and Rickmoy Samanta
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
Emergence of Darcy's law and apparent violation of Onsager symmetry in multiphase transport
Author(s): Omid Tavakkoli, Dick Bedeaux, Signe Kjelstrup, Steffen Berg, Marcel Moura, Ying Da Wang, Peyman Mostaghimi, and Ryan T. Armstrong
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
Phase-symmetry breaking as a mechanism for subcritical transition in shell models of turbulence
Author(s): Yoshiki Hiruta
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
Elastic instability-induced symmetry breaking in confined microcavities
Author(s): Kai Tian, Tongtong Zhu, Xiaoyu Xu, Zhaodong Ding, Jifeng Cui, and Chundong Xue
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 (Wi), the flow is categorized into three regimes: stable symmetric vortex structures at low Wi (…
[Phys. Rev. E 114, 015101] Published Wed Jul 01, 2026
Parabolic focusing of water waves via a straight reflector based on the space transformation method
Author(s): Zhigang Zhang, ChenXu Zhang, Chi Zhang, Takahito Iida, and Xiangqian Zhu
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
Theory and simulation of turbulence driven by momentum transfer from material emitting high-energy particles
Author(s): S. E. Kuratov, A. Yu. Mikulin, S. I. Glazyrin, and D. S. Shidlovski
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
Nonlinear bubble resonance: Geometric mechanisms and onset scaling
Author(s): Shilin Yu, Wenbao Zheng, Chao Zeng, and Wen Deng
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
Plume stretching in the trapped region of a reoriented potential mixer
Author(s): Roseanna M. Neupauer, James D. Meiss, and Tomás G. Dabove
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
Flow of yield stress fluid in a percolating network
Author(s): Nathan Abitbol, Alex Hansen, Alberto Rosso, and Laurent Talon
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 via a predeposited microparticle
Author(s): Chao-Sheng Li, Shun-Jie Wu, Rong-Rong Cai, and Li-Zhi Zhang
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
Amplitude variation in spanwise wall oscillations: Effects on drag reduction and heat transfer in compressible turbulent channel flow
Author(s): Fangliang Xu, Wei Liu, and Peng Zhang
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
Global Buckley-Leverett theory for multicomponent flow in fractured media: Isothermal equation-of-state coupling and dynamic capillarity
Author(s): Christian Tantardini and Fernando Alonso-Marroquín
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
Wake-tail effects in two-dimensional wave refocusing
Author(s): Theodoros T. Koutserimpas
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
Resonance behavior of a bubble near a spherical inclusion
Author(s): Thomas Micol, Alexander A. Doinikov, Cyril Mauger, and Claude Inserra
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
Numerical search for states with constant enstrophy flux over finite time intervals in two-dimensional turbulence
Author(s): Kyo Yoshida
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
Droplet shrinkage in phase-field approaches: A comparison of the Allen-Cahn and the Cahn-Hilliard models
Author(s): Reza Haghani, Carl Fredrik Berg, and Eirik Grude Flekkøy
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
Electrolyte flows under magnetic fields: Manning-like counterion condensation in one dimension
Author(s): Yoav Tsori and Hannes Uecker
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
Capillarity in stationary random granular media: Distribution-aware screening and quantitative supercell sizing
Author(s): Christian Tantardini and Fernando Alonso-Marroquín
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