Latest papers in fluid mechanics

Bifurcations and nonlinear dynamics of the follower force model for active filaments

Physical Review Fluids - Mon, 07/15/2024 - 11:00

Author(s): Bethany Clarke, Yongyun Hwang, and Eric E. Keaveny

The follower force model is a fundamental model for active filaments, commonly utilized to model microtubule-motor protein complexes and collections of cilia. In this work we perform a thorough analysis of this model, employing techniques from computational dynamical systems, adapted from high Reynolds number fluid dynamics, to map out the bifurcations in the system and classify emergent states. This approach allows us to bridge the gap between 2D and 3D analyses, in particular establishing the initial buckling as a double Hopf bifurcation. Additionally, we identify the existence of a quasiperiodic solution at the second bifurcation, and categorize the dynamics at higher values of forcing.


[Phys. Rev. Fluids 9, 073101] Published Mon Jul 15, 2024

Buoyant miscible viscoplastic injections

Physical Review Fluids - Mon, 07/15/2024 - 11:00

Author(s): M. Faramarzi, S. Akbari, and S. M. Taghavi

Inspired by industrial processes in oil and gas well plugging and abandonment (P&A) operations, this study investigates the injection of heavy, thick fluids into lighter fluids. By experimenting and analyzing flow behaviors using dimensionless numbers such as Reynolds number, Froude number, inclination angle, Bingham number, and viscosity ratio, we identified different flow regimes such as stable and unstable slumping, separation, and mixing. These findings offer valuable insights for improving fluid flow analysis in applications like 3D printing and other industrial processes.


[Phys. Rev. Fluids 9, 073301] Published Mon Jul 15, 2024

Effect of a deep corrugated wall on the natural frequencies and the Faraday instability of a fluid interface

Physical Review Fluids - Mon, 07/15/2024 - 11:00

Author(s): B. Dinesh, N. Brosius, T. Corbin, and R. Narayanan

The natural frequency of a fluid overlying on a wavy wall in general reduces. This reduction is observed by a shift in the minimum of the Faraday threshold, i.e., in the parametric acceleration versus frequency plot.


[Phys. Rev. Fluids 9, 073902] Published Mon Jul 15, 2024

Flow and rheology of suspensions of two-dimensional cylindrical or anisotropic particles with Navier slip

Physical Review Fluids - Mon, 07/15/2024 - 11:00

Author(s): Catherine Kamal and Lorenzo Botto

We study numerically and analytically the effect of Navier slip on the orientational dynamics and effective shear viscosity of a semi-dilute suspension of two-dimensional particles with either circular or elongated (plate-like) shape, interacting only via hydrodynamic and contact forces. We show that at dilute concentrations slip causes the elongated particles to align in the flow direction, whilst for large concentrations tumbling of the particles occurs due to particle-particle interactions. We show this change in orientational microstructure directly impacts the effective viscosity of the suspension: a minimum in the effective viscosity occurs at a threshold concentration.


[Phys. Rev. Fluids 9, 074102] Published Mon Jul 15, 2024

Effects of interparticle cohesion on the collapse of granular columns

Physical Review Fluids - Mon, 07/15/2024 - 11:00

Author(s): Ram Sudhir Sharma, Wladimir Sarlin, Langqi Xing, Cyprien Morize, Philippe Gondret, and Alban Sauret

Cohesive forces occur at the particle scale and have effects up to the macroscopic scale. Using the canonical configuration of a column of grains collapsing under its own weight in air, this paper reports that a bulk description framework of cohesive effects can account for the macroscopic observations. Experiments are reported with two different cohesion sources, capillary bridges or a polymer coating, for the collapse of rectangular and cylindrical granular columns. The bulk framework is shown to capture the effects of cohesion on the final deposit for both sources of cohesion.


[Phys. Rev. Fluids 9, 074301] Published Mon Jul 15, 2024

Dynamics of intrusion in downslope gravity currents in a rotating frame

Physical Review Fluids - Mon, 07/15/2024 - 11:00

Author(s): Axel Tassigny, Maria Eletta Negretti, and Achim Wirth

Laboratory experiments of ocean gravity currents show laminar transport supplemented by spontaneous and intermittent cascading of dense water. Statistical analysis reveals self organized criticality of the downward transport. Cascading intrusions are a major contributor of turbulence and vorticity in the ocean interior.


[Phys. Rev. Fluids 9, 074605] Published Mon Jul 15, 2024

Quantifying small-scale anisotropy in turbulent flows

Physical Review Fluids - Wed, 07/10/2024 - 11:00

Author(s): Subharthi Chowdhuri and Tirtha Banerjee

The verification of small-scale isotropy requires three-dimensional information of the flow field, a condition rarely satisfied in experiments. To examine this we develop a framework that considers how the presence of bursts at smaller flow scales generates turbulent kinetic energy differently between the horizontal and vertical directions. This framework can be applied both to flow fields obtained via numerical simulations, and to data from field and laboratory measurements. Moreover, a universal relationship emerges to predict small-scale anisotropy from large-scale flow conditions, thus contributing towards the development of next-generation closure models of wall turbulence.


[Phys. Rev. Fluids 9, 074604] Published Wed Jul 10, 2024

Coherent structures formed by small particles in traveling-wave flows

Physical Review E - Mon, 07/08/2024 - 11:00

Author(s): Shogo Sensui, Shin Noguchi, Keiichiro Kato, and Ichiro Ueno

We experimentally verify the “phase locking model,” which describes the formation of one-dimensional coherent structures by low-Stokes-number particles as proposed by Pushkin et al. [Phys. Rev. Lett. 106, 234501 (2011)] in thermocapillary liquid bridges: When the particles form the coherent structur…


[Phys. Rev. E 110, 015101] Published Mon Jul 08, 2024

Constructive interaction in an array of flexible energy-harvesting plates in oscillatory cross flow

Physical Review Fluids - Mon, 07/08/2024 - 11:00

Author(s): Qiang Zhu

The dynamics and energy-harvesting performance of piezoelectric plates in oscillatory flows have been studied numerically. The simulations show that when these plates are arranged in an array with certain distance between neighbors, the average energy-harvesting capacity of each individual plate may be increased by as much as 110% within the range of parameters considered. The underlying physical mechanism has been identified as wake energy recovery - a plate in such a formation is able to extract energy from the wakes of its neighbors that will otherwise be dissipated. This finding can be used in the development of environmental-friendly soft-body wave energy harvesters.


[Phys. Rev. Fluids 9, 074101] Published Mon Jul 08, 2024

Three-dimensional structure of the thermal boundary layer in turbulent Rayleigh-Bénard convection: A Lagrangian perspective

Physical Review Fluids - Mon, 07/08/2024 - 11:00

Author(s): György Tegze and Frigyes Podmaniczky

This study is establishing a new method to characterize the thermal boundary layer in turbulent Rayleigh-Bénard convection. Transition from the convection dominated bulk domain to the diffusion dominated boundary layer can be identified by extrema in the time-variation of the temperature along the fluid-parcel pathlines. We demonstrate that our method reveals the spatiotemporal structure of the boundary layer.


[Phys. Rev. Fluids 9, 074602] Published Mon Jul 08, 2024

Large-eddy simulations of turbulent wake flows behind helical- and straight-bladed vertical axis wind turbines rotating at low tip speed ratios

Physical Review Fluids - Mon, 07/08/2024 - 11:00

Author(s): Masoumeh Gharaati, Shuolin Xiao, Luis A. Martínez-Tossas, Daniel B. Araya, and Di Yang

We use large-eddy simulations to study the effects of helical-shaped blades on the wake flow characteristics of vertical axis wind turbines (VAWTs) at low tip speed ratios. Compared with the straight-bladed VAWT, our study shows that the helical-bladed VAWT generates near-wake flow structures with more three-dimensional features, which accelerate the wake transition to turbulence, enhance the small-scale turbulent dissipation, and result in a more rapid decay of the wake turbulence intensity. Moreover, the helical-bladed VAWT also exhibits much smaller temporal variations for the torque and power coefficients than the straight-bladed VAWT, resulting in smoother wind power generation.


[Phys. Rev. Fluids 9, 074603] Published Mon Jul 08, 2024

Large eddy simulation of power-law fluid dam break wave impacting against a vertical wall

Physical Review Fluids - Mon, 07/08/2024 - 11:00

Author(s): Andrea Del Gaudio, George Constantinescu, Cristiana Di Cristo, Francesco De Paola, and Andrea Vacca

In this study, we explore the complex dynamics of a dam break wave comprising a clay-water mixture under turbulent flow conditions as it interacts with a vertical rigid wall. Utilizing advanced three-dimensional Large Eddy Simulations (LES), we investigate the evolution of the dam break over time as a function of fluid rheology. The study aims to provide useful information for the development of risk mitigation strategies and the design of protective structures by examining the influence of clay concentration and initial fluid depth on the wave’s behavior, bed shear stresses, and impact forces.


[Phys. Rev. Fluids 9, 074801] Published Mon Jul 08, 2024

Settling of nonuniform cylinders at intermediate Reynolds numbers

Physical Review Fluids - Wed, 07/03/2024 - 11:00

Author(s): Brandon R. Angle, Matthew J. Rau, and Margaret L. Byron

For sedimenting nonspherical particles at finite Reynolds numbers, very small offsets in the center of mass (less than 0.05% of particle length) can dramatically alter settling behavior. Nonuniformity in mass distribution enhances lateral dispersion and alters overall settling velocity; small changes in particle orientation lead to the onset of wake features which can either stabilize or destabilize the particle’s trajectory, bifurcating over a relatively narrow range of Reynolds number. These results carry implications for a variety of natural and engineered processes, such as the transport and settling of microplastics and/or multimaterial aggregates in the environment.


[Phys. Rev. Fluids 9, 070501] Published Wed Jul 03, 2024

Simulating shock interaction with a cavity-embedded cylinder/droplet using a real-fluid hybrid scheme at near-critical conditions

Physical Review Fluids - Wed, 07/03/2024 - 11:00

Author(s): Yu Jiao, Steffen J. Schmidt, and Nikolaus A. Adams

How does a cavity-embedded n-dodecane droplet behave under near-critical thermodynamic conditions? We present a comprehensive three-dimensional simulation of such a droplet subjected to a normal shock wave, utilizing an effective resolution of 0.87 billion finite volumes. This represents the largest simulation of its kind to date. A novel configuration is introduced to incorporate the influence of the cavity on the droplet dynamics. This study advances our understanding of droplet behavior under extreme conditions, potentially aiding in resolving specific transcritical flow challenges encountered in scramjets, ramjets, and liquid rocket engines.


[Phys. Rev. Fluids 9, 074002] Published Wed Jul 03, 2024

Enhancement of ice melting in isotropic turbulence

Physical Review Fluids - Tue, 07/02/2024 - 11:00

Author(s): Aubrey L. McCutchan, Colin R. Meyer, and Blair A. Johnson

Our experimental study explores ice melting rates in quiescent water and in turbulent flow. Particle image velocimetry measurements allow us to visualize and characterize flows generated by meltwater plumes and to non-invasively measure melt rate of an ice sphere fixed in place in the center of our isotropic turbulence tank, in which randomly actuated synthetic jets produce a core of homogeneous isotropic turbulence. We present relationships between ambient water temperature and turbulent kinetic energy on melt rates.


[Phys. Rev. Fluids 9, 074601] Published Tue Jul 02, 2024

Transport-induced-charge electroosmosis in nanopores

Physical Review Fluids - Tue, 07/02/2024 - 11:00

Author(s): Wei-Lun Hsu, Zhixuan Wang, Soumyadeep Paul, and Hirofumi Daiguji

In this work, we derive analytical solutions for a unique electrokinetic phenomenon, being termed as transport-induced-charge electroosmosis (TICEO), which does not originate from electric double layers, but is due to the local ion separation in a nanopore filled with an electrolyte solution in the presence of a salinity gradient. We show that the direction of TICEO is independent of the applied electric field, and thus suitable for alternating current (AC) pumping applications. Using a transient model, we examine the time scale, length scale, and operating frequency range for TICEO in a thin nanopore, providing useful guidance for nanopore design in AC nanofluidic technology.


[Phys. Rev. Fluids 9, L071701] Published Tue Jul 02, 2024

Balanced proper-orthogonal-decomposition-based feedback control of vortex-induced vibration

Physical Review Fluids - Mon, 07/01/2024 - 11:00

Author(s): Haokui Jiang and Shunxiang Cao

This work presents a reduced-order model-based feedback control strategy for suppressing vortex-induced vibration (VIV) of a spring-mounted cylinder using the balanced proper orthogonal decomposition (BPOD) method. The BPOD model, closely aligned with the full-order model (FOM), is employed to design an active flow control strategy with blowing and suction actuators, effectively suppressing VIV up to Re = 100 by adjusting or eliminating unstable eigenmodes. The optimal control strategies, robust to variations in Reynolds numbers, highlight significant gain margins when positioning velocity probes near x/D = 3.0, though probe placement in wavemaker regions might be suboptimal.


[Phys. Rev. Fluids 9, 073901] Published Mon Jul 01, 2024

Capillary-lubrication force between rotating cylinders separated by a fluid interface

Physical Review Fluids - Mon, 07/01/2024 - 11:00

Author(s): Aditya Jha, Yacine Amarouchene, and Thomas Salez

In highly viscous environments, an object’s dynamics is perturbed in the presence of soft confining boundaries due to the coupling of the lubricated flow with the boundary’s elasticity. Since the deformability of the boundary is central to the elastohydrodynamic forces induced, altering its material nature to that of a capillary fluid interface can drastically alter the magnitude and direction of these forces. Based on a model system with two infinite cylinders rotating near a fluid interface, such changes are theoretically and numerically explored in detail. New scaling results and a reversal in the sign of the generated normal forces, unseen with classical elastic substrates, are revealed.


[Phys. Rev. Fluids 9, 074001] Published Mon Jul 01, 2024

Unusual bifurcation scenario in a stably stratified, valley-shaped enclosure heated from below

Physical Review Fluids - Mon, 07/01/2024 - 11:00

Author(s): Patrick J. Stofanak, Cheng-Nian Xiao, and Inanc Senocak

We explore stably stratified flows in V-shaped triangular cavities, following Prandtl’s mountain and valley flow model. Our study identifies five distinct steady states. A zero-flow state bifurcates into symmetry-conjugated asymmetric circulation states forming a pitchfork bifurcation. Additionally, we identify two symmetric states characterized by upslope and downslope flows, respectively. These states, although not symmetry-conjugated, originate from the same eigenmode, leading to a novel bifurcation pattern that deviates from traditional canonical forms. Our findings illuminate the complex bifurcation structure of stratified flows in such cavities, which has previously been overlooked.


[Phys. Rev. Fluids 9, 074401] Published Mon Jul 01, 2024

Investigation of an overlap of heating peaks in the hypersonic boundary layer over a blunt cone

Physical Review Fluids - Mon, 07/01/2024 - 11:00

Author(s): Zhenghao Feng, Chong Cai, Cunbiao Lee, and Daoning Yang

In this Letter, we report a phenomenon where two overlapping heating peaks are observed over a slightly blunted cone instead of just one in a hypersonic flow. Through optical measurements and direct numerical simulations, we confirm that the former peak originates from dilatational effects of second mode while the latter emerges due to high shear viscous dissipation. The convergence between the saturation location of second mode and onset location of transition leads to the overlap of peaks. This study not only highlights the additional heating regions over blunt models brought by the second mode, but also suggests employing designed bluntness strategies to control them.


[Phys. Rev. Fluids 9, L071901] Published Mon Jul 01, 2024

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