Latest papers in fluid mechanics
Numerical study of Lagrangian velocity structure functions using acceleration statistics and a spatial-temporal perspective
Author(s): Rohini Uma-Vaideswaran and P. K. Yeung
The second-order Lagrangian velocity structure function in turbulence is a fundamental quantity for which clear inertial range scaling has been much more elusive than corresponding Eulerian measures. In this work direct numerical simulation at high Reynolds number is used to better understand the question of asymptotic constancy of the supposed scaling constant through effects of the acceleration autocorrelation function. A spatial-temporal decomposition of the Lagrangian velocity increment exposes strong but incomplete cancellation between convective and local contributions, with rapid approach of particle displacements towards inertial range values having an important role.
[Phys. Rev. Fluids 11, 044607] Published Fri Apr 24, 2026
Momentum decomposition of the pressure field
Author(s): Taihang Zhu, Chao Xia, Jiabin Pang, Olivier Cadot, and Jonathan F. Morrison
We introduce a momentum decomposition framework to analyze the pressure field. It establishes a generic relationship between the mean pressure and flow statistics for turbulent flow, manifesting as fundamental mechanisms of pressure-gradient contributions in Cartesian coordinates involving mean flow accelerations, Reynolds stresses, and viscous stresses. With a focus on bluff body flows, this framework is validated in both laminar and turbulent regimes, providing a physical basis for flow analysis and control.
[Phys. Rev. Fluids 11, 044608] Published Fri Apr 24, 2026
Investigation of countergradient transport structures in stably stratified homogeneous shear turbulence
Author(s): Xiaodong Wu, De Li, and Zhiming Lu
Counter-gradient transport in stably stratified shear turbulence remains poorly understood, particularly from a structural perspective. Using direct numerical simulations combined with the clustering method, this study identifies and characterizes coherent structures responsible for counter-gradient transport of heat and momentum. We find that such transport is dominated by structures larger than the Corrsin scale and primarily organized as paired Q1–Q3 events. Distinct physical mechanisms are revealed, with heat transport arising from both vortex-induced rotation and fluid parcel interactions, while momentum transport is governed solely by vortex-induced rotation.
[Phys. Rev. Fluids 11, 044609] Published Fri Apr 24, 2026
Impact of the history force on the motion of droplets in shaken liquids
Author(s): Frederik R. Gareis and Walter Zimmermann
Outward-diffusing vorticity fields form around particles and droplets in time-periodic fluid motions. As a result, the time-dependent shear gradients in the fluid and at the particle surface are typically greater than those of the classical steady-state Stokes velocity profile. This leads to an additional viscous force, the Basset–Boussinesq history force (BBH), which depends on the past motion of the particle that created the vortices. An experiment with particles in a shaken fluid is proposed to measure the parameter dependence of the BBH, and parameter ranges are also predicted in which the BBH becomes comparable to or stronger than classical Stokes friction.
[Phys. Rev. Fluids 11, 043604] Published Wed Apr 22, 2026
Twin satellites and ring bubbles from coalescing magnetically levitated air bubbles in water
Author(s): N. Sampara, G. Hunter-Brown, K. A. Baldwin, M. M. Scase, and R. J. A. Hill
While the coalescence of similarly-sized air bubbles in water is known to eject satellite bubbles, a complete model has remained elusive. Suspending unconstrained air bubbles using magnetic levitation, this study combines experiments and simulations to reveal how initial size ratios dictate the outcome, including twin satellites for equal-sized precursors. A timing model shows satellite production is governed by the coincidence of converging capillary waves and the retraction of the coalescing bubbles’ poles. Analysis of the capillary waves offers insight into why similarly-sized drops do not eject satellites in the same manner as bubbles.
[Phys. Rev. Fluids 11, 043605] Published Wed Apr 22, 2026
Modified far-field hydrodynamic flows induce versatile trajectories of confined microswimmers
Author(s): Zehan Cao and Alan C. H. Tsang
Microswimmers under weak confinement exhibit flow fields that are highly dependent on the spatial arrangement of their propulsion and drag forces, as well as their geometry. These flow fields can be approximated by placing Stokeslets and source dipoles at proper positions of the swimmer. We observe versatile swimming trajectories, such as centerline sliding and amplified oscillations, depending on the relative strengths of the Stokeslets and source dipoles.
[Phys. Rev. Fluids 11, 044402] Published Wed Apr 22, 2026
From soap-film packed droplets to multilayer antibubbles: Formation and stability
Author(s): Cyril André, Cyriaque Amerein, Jonas Miguet, Benoit Scheid, and Stéphane Dorbolo
Antibubbles are the structural inverse of soap bubbles: they consist of a liquid core enclosed by a thin quasi-spherical gas shell, immersed in a liquid medium. Producing multilayer antibubbles, i.e. antibubbles enclosed by multiple soap/air films, has been a challenge in the past years, as it requires a delicate balance between surface tension and inertia. In this paper, we investigate a method that uses one or more soap films and a soapy liquid droplet to generate multilayer antibubbles. We also identify the optimal parameters for forming single-layer and multilayer antibubbles across three different viscosities.
[Phys. Rev. Fluids 11, 043603] Published Tue Apr 21, 2026
Kolmogorov scaling for total energy and cross helicity in magnetohydrodynamic turbulence
Author(s): Manthan Verma, Abhishek K. Jha, and Mahendra K. Verma
The total energy spectrum exhibits a Kolmogorov-like scaling, consistent with the conservation of total energy in the system. However, the kinetic and magnetic energy spectra often diverge from the −5/3 scaling. In this paper, we show that this divergence arises from energy transfer between the velocity and magnetic fields, either from velocity to magnetic field or vice versa. Our extensive numerical simulations therefore demonstrate Kolmogorov-like phenomenology for isotropic MHD turbulence.
[Phys. Rev. Fluids 11, 043701] Published Tue Apr 21, 2026
Numerical demonstration of Kolmogorov scaling in magnetohydrodynamic turbulence
Author(s): Manthan Verma, Abhishek K. Jha, Shashwat Nirgudkar, and Mahendra K. Verma
For isotropic magnetohydrodynamic (MHD) turbulence, we employ high-resolution numerical simulations and compute the energy spectra and fluxes, as well as the structure functions, of Elsässer variables. While the competing spectral indices 5/3 and 3/2 are too close, the 5/3 index still provides a better fit to the energy spectra. More importantly, the structure functions strongly support the Kolmogorov-like phenomenology. Additionally, the energy fluxes in imbalanced MHD are consistent with the predictions of the Kolmogorov-like model. The figure shows normalized cross helicity of 0.65.
[Phys. Rev. Fluids 11, 043702] Published Tue Apr 21, 2026
Ray-tracing image simulations of transparent objects with complex shape and inhomogeneous refractive index
Author(s): Armin Kalita, Bryan Oller, Thomas Paula, Alexander Bußmann, Sebastian Marte, Gabriel Blaj, Raymond G. Sierra, Sandra Mous, Kirk A. Larsen, Xinxin Cheng, Matt J. Hayes, Kelsey Banta, Stella Lisova, Peter Nguyen, Serge A. H. Guillet, Divya Thanasekaran, Silke Nelson, Mengning Liang, Stefan Adami, Nikolaus A. Adams, and Claudiu A. Stan
Optical images of transparent objects depend in a complicated way on their three-dimensional properties, which made it difficult to simulate such images accurately. Using ray tracing with calibrated illumination, we simulated with high fidelity images of drops with complex shapes, and images of pressure waves inside drops. The simulated images can be used to visualize, validate, and refine fluid dynamics models. They can also be used to determine multiple three-dimensional properties from experimental images.
[Phys. Rev. Fluids 11, 044908] Published Mon Apr 20, 2026
Drag force and diffusion of small planar structures: A gas kinetic theory analysis and molecular dynamics study
Author(s): Amitesh S. Jayaraman, Nikolaos Kateris, and Hai Wang
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
Viscoelastic flow of an Oldroyd-B fluid through a slowly varying contraction-expansion channel: pressure drop and elastic stress relaxation
Author(s): Yali Kedem, Bimalendu Mahapatra, and Evgeniy Boyko
Viscoelastic flows through narrow, nonuniform geometries are common in engineering and biological systems, yet the pressure drop behavior of such fluids remains poorly understood. We develop a theoretical model for the flow of an Oldroyd-B fluid in slowly varying constrictions, deriving closed-form expressions for the elastic stresses and pressure drop valid for all Deborah numbers in the ultra-dilute limit. Our theory is in excellent agreement with numerical simulations and reveals key differences between constrictions and contractions, including a plateau in the pressure drop at high Deborah numbers and a significantly shorter relaxation length in the exit channel of the constriction.
[Phys. Rev. Fluids 11, 043303] Published Mon Apr 20, 2026
Flag models as vortex generators for enhanced heat transfer in laminar channel flows
Author(s): Jingyu Cui, Xiang Zhu, Yiting Zhang, Zuchao Zhu, and Yuzhen Jin
We perform a comprehensive numerical study of standard, inverted, and wall-mounted flag models to reveal how flag-induced dynamics and vortex organization control thermal transport. The results identify distinct vortex-generation mechanisms for each configuration and map their high-efficiency regimes in the parameter space of bending stiffness and Reynolds number. These findings clarify the thermo-hydraulic performance limits of flexible flags and provide guidance for designing efficient passive heat transfer enhancers.
[Phys. Rev. Fluids 11, 044103] Published Fri Apr 17, 2026
Erratum: Can we predict the weather? New tools for an old problem [Phys. Rev. Fluids <b>10</b>, 083801 (2025)]
Author(s): Bérengère Dubrulle, Antoine Barlet, Amaury Barral, Adam Cheminet, Guillaume Costa, Pietro Dragoni, Abhishek Harikrishnan, Adrien Lopez, Kirone Mallick, and Quentin Pikeroen
[Phys. Rev. Fluids 11, 049901] Published Fri Apr 17, 2026
Mathematical analysis of a nonlinear viscoelastic fluid-structure interaction and wave dynamics in compliant arteries
Author(s): Manoj Mahawar, Bharat Soni, and Ameeya kumar Nayak
The purpose of the work is to understand the coupled influence of fluid and arterial wall viscoelasticity on wave dynamics, flow impedance, and energy dissipation in a compliant artery. Most theoretical models simplify this coupling by assuming Newtonian flow or purely elastic vessel walls. This study presents a comprehensive model for detailed profiling of vascular mechanics that utilizes physiological arterial parameters to assess the frequency-dependent impedance and energy dissipation behavior within the fluid-structure model.
[Phys. Rev. Fluids 11, 043101] Published Thu Apr 16, 2026
A phenomenological model for the heat transfer coefficient in turbulent pipe flow of shear-thinning power-law fluids
Author(s): Mateus M. Teixeira, Daniel O. A. Cruz, and Fabio Ramos
Traditional heat transfer models for shear-thinning fluids often lack the physical depth to fully capture their complex turbulent transport mechanisms. This study introduces a robust phenomenological model for power-law fluids in pipe flow, integrating Kolmogorov’s theory into an extended Prandtl-Taylor analogy. Furthermore, the introduction of a flow-independent Power-Law Prandtl number decouples the fluid’s intrinsic thermal properties from flow kinematics. The resulting correlation offers superior predictive accuracy and deeper physical insight.
[Phys. Rev. Fluids 11, 043302] Published Thu Apr 16, 2026
Ionic liquid drop impact on solid surfaces under an electric field
Author(s): Lihui Liu, Bohan Jiang, Yufeng Cheng, Runze Zhang, Yongwei Liu, Bijiao He, and Peichun Amy Tsai
Electric fields strongly elongate ionic liquid droplets in flight, but have little effect on their impact dynamics. Experiments show that despite pronounced deformation induced by Maxwell stresses, the splashing threshold and maximum spreading factor remain nearly unchanged, revealing that high viscosity suppresses electrohydrodynamic coupling during impact.
[Phys. Rev. Fluids 11, 043602] Published Thu Apr 16, 2026
Rare-event detection in a backward-facing-step flow using live optical-flow velocimetry: Observation of an upstream jet burst
Author(s): Juan Pimienta and Jean-Luc Aider
A new method is proposed to detect rare events in a shear flow. Using Live Optical Flow Velocimetry (L-OFV), it becomes possible to monitor a flow over extended periods (hours or even days) based on quantitative measurements and predefined criteria. Once these criteria are met (typically large standard-deviation excursions in velocity probes), the time history of the 2D velocity field is recorded before and after the event. After 1.5 hours of live monitoring of a backward-facing-step flow, a single extreme event, deep in the velocity-distribution tails, was found. Analysis of the time-resolved 2D velocity fields revealed a strong upstream-directed jet burst piercing the recirculation region.
[Phys. Rev. Fluids 11, 044605] Published Thu Apr 16, 2026
Flow and noise characteristics of a hot supersonic rectangular jet with V-shaped trailing edges
Author(s): Bao Chen, Yitong Fan, Zifei Yin, and Weipeng Li
Rectangular exhaust nozzles are an attractive option in the design of high-speed propulsion systems. This study investigates the effects of V- shaped trailing edges (VTEs), a feature that improves stealth performance, on the flow and noise radiation of a hot over-expanded rectangular jet. Results show that the VTEs can effectively suppress the screech tone and overall sound pressure levels in the upstream and downstream directions. This study also demonstrates that the energy redistribution during wave interactions is modulated by the VTEs, providing an inherent explanation for the screech reduction.
[Phys. Rev. Fluids 11, 044606] Published Thu Apr 16, 2026
Sharper predictions: The role of loss functions for enhanced turbulent-flow sensing
Author(s): A. G. Balasubramanian, A. Cremades, R. Vinuesa, and O. Tammisola
Accurate reconstruction of near-wall turbulence from limited wallmeasurements remains a central challenge in non-intrusive flow sensing, especially because conventional learning approaches often sacrifice small-scale fidelity. Building on recent data-driven advances, this study shows that a spectrally informed composite loss can markedly outperform standard mean-squared-error training for reconstructing velocity fluctuations from wall-shear and pressure signals. The method improves statistical and spectral accuracy, preserves fine-scale energy, and remains robust under noisy and coarse inputs, strengthening the case for practical turbulence sensing with neural networks.
[Phys. Rev. Fluids 11, 044907] Published Thu Apr 16, 2026