Physical Review E
Analytical solution for dynamic evaporation of liquid in isothermal condition
Author(s): Luiz Eduardo Czelusniak, Tim Niklas Bingert, Stephan Simonis, Alexander J. Wagner, and Mathias J. Krause
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
Analysis of instantaneous skin friction in a supersonic turbulent boundary layer
Author(s): Rongji Hu, Zhikang Huang, Geng Zhao, Xue-Lu Xiong, Feng Liu, Jian Fang, and Yi Zhou
The generation of skin friction in a spatially evolving turbulent boundary layer at a Mach number Ma∞=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
Comprehensive interscale energy transfer in homogeneous isotropic turbulence
Author(s): Jun-Yang Li, Dong Sun, Si-Wei Dong, Peng-Xin Liu, and Xian-Xu Yuan
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 of stationary three-dimensional turbulence
Author(s): Ankan Biswas, Amal Manoharan, and Ashwin Joy
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
Re-examining the boundary conditions in modeling surface-acoustic-wave-driven acoustofluidic streaming
Author(s): Qinran Wei, Suyu Ding, Yang Zhao, Yuanpeng Ma, Dachuan Sang, Dong Zhang, and Xiasheng Guo
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
Quantum potential from the material derivative of the osmotic velocity: A two-fluid Madelung framework
Author(s): Lachezar S. Simeonov
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
Suppressing viscous fingering with rotation: Linear predictions and nonlinear simulations
Author(s): Írio M. Coutinho and José A. Miranda
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
Flexible fiber studied in fluid flow using a variational method
Author(s): Haoyu Liu, Edidiong Michael Umana, and Xiufeng Yang
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
Invasion of a magnetic-bead-laden droplet placed over a hole in the presence of a magnetic field
Author(s): Ting Zhong, Gaoxiao Jiang, Rui Ma, and Chenxu Wu
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
Virtual states and exponential decay in small-scale dynamo
Author(s): A. V. Kopyev, V. A. Sirota, A. S. Il'yn, and K. P. Zybin
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
Hydrodynamic instabilities in driven chiral suspensions
Author(s): Seema Chahal and Brato Chakrabarti
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
Scale-dependent breakdown of isotropic turbulence by off-axis rotation
Author(s): Yijie Wang, Jun Chen, and Leonardo P. Chamorro
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
Translation and shape deformation of a microbubble driven by an acoustic traveling wave
Author(s): Stephen J. Shaw
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
Flow generation via catastrophic loss of equilibrium in weakly rotating self-gravitating fluids: A minimal idealized model
Author(s): L. Gudushauri, N. L. Shatashvili, G. Shekiladze, and S. M. Mahajan
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
Assessment of mixing in rotating microfluidic channels: A variational calculus approach
Author(s): Mahesh Kumar, Harshad Sanjay Gaikwad, and Pranab Kumar Mondal
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
Oscillating electroosmotic flow in channels and capillaries with modulated wall charge distribution
Author(s): A. Shrestha, E. Kirkinis, and M. Olvera de la Cruz
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
Multiphase smoothed particle hydrodynamics modeling of two drops impacting on a solid surface
Author(s): Linhao Li, Md M. A. Sohag, Kan Liu, Jian Wu, and Xiufeng Yang
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
Gaussian wave packets in a semi-infinite capillary jet for droplet isolation: Spatial linear analysis and nonlinear simulations
Author(s): Y. M. Zhang, H. González, F. J. García de Bollullos, P. A. Vazquez, and H. L. Yi
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
Nonlinear dynamics of air invasion in one-dimensional compliant fluid networks
Author(s): Ludovic Jami, François-Xavier Gauci, Céline Cohen, Xavier Noblin, and Ludovic Keiser
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
Wrinkling dynamics accelerate due to sudden changes in boundary conditions
Author(s): Kai Liu, Wang Xiao, John Lowengrub, Shuwang Li, and Meng Zhao
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