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Journal articles on the topic 'Inertial particle dynamics'

Author: Grafiati

Published: 7 July 2024

Last updated: 31 July 2025

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1

Jayaram, Rohith, Yucheng Jie, Lihao Zhao, and Helge I. Andersson. "Dynamics of inertial spheroids in a decaying Taylor–Green vortex flow." Physics of Fluids 35, no. 3 (2023): 033326. http://dx.doi.org/10.1063/5.0138125.

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Inertial spheroids, prolates and oblates, are studied in a decaying Taylor–Green vortex (TGV) flow, wherein the flow gradually evolves from laminar anisotropic large-scale structures to turbulence-like isotropic Kolmogorov-type vortices. Along with particle clustering and its mechanisms, preferential rotation and alignment of the spheroids with the local fluid vorticity are examined. Particle inertia is classified by a nominal Stokes number [Formula: see text] which to first-order aims to eliminate the shape effect. The clustering varies with time and peaks when the physically relevant flow an

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2

Sapsis, Themistoklis, and George Haller. "Inertial Particle Dynamics in a Hurricane." Journal of the Atmospheric Sciences 66, no. 8 (2009): 2481–92. http://dx.doi.org/10.1175/2009jas2865.1.

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Abstract The motion of inertial (i.e., finite-size) particles is analyzed in a three-dimensional unsteady simulation of Hurricane Isabel. As established recently, the long-term dynamics of inertial particles in a fluid is governed by a reduced-order inertial equation, obtained as a small perturbation of passive fluid advection on a globally attracting slow manifold in the phase space of particle motions. Use of the inertial equation enables the visualization of three-dimensional inertial Lagrangian coherent structures (ILCS) on the slow manifold. These ILCS govern the asymptotic behavior of fi

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3

Riggs, Peter J. "Inertia and inertial resistance in the Special Theory of Relativity." Canadian Journal of Physics 99, no. 9 (2021): 795–98. http://dx.doi.org/10.1139/cjp-2021-0087.

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A broader concept of “resistance to acceleration” than used in classical dynamics, called “inertial resistance”, is quantified for both inertial and non-inertial relativistic motion. Special Relativity shows that inertial resistance is more than particle inertia and originates from Minkowski spacetime structure. Current mainstream explanations of inertia do not take inertial resistance into account and are, therefore, incomplete.

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4

Li, Gaojin, Gareth H. McKinley, and Arezoo M. Ardekani. "Dynamics of particle migration in channel flow of viscoelastic fluids." Journal of Fluid Mechanics 785 (November 23, 2015): 486–505. http://dx.doi.org/10.1017/jfm.2015.619.

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The migration of a sphere in the pressure-driven channel flow of a viscoelastic fluid is studied numerically. The effects of inertia, elasticity, shear-thinning viscosity, secondary flows and the blockage ratio are considered by conducting fully resolved direct numerical simulations over a wide range of parameters. In a Newtonian fluid in the presence of inertial effects, the particle moves away from the channel centreline. The elastic effects, however, drive the particle towards the channel centreline. The equilibrium position depends on the interplay between the elastic and inertial effects.

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5

Grahn, Patrick, and Joel Kuula. "Finite Element Simulation of Aerosol Particle Trajectories in a Cantilever-Enhanced Photoacoustic Spectrometer for Characterization of Inertial Deposition Loss." Processes 12, no. 12 (2024): 2827. https://doi.org/10.3390/pr12122827.

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The cantilever-enhanced photoacoustic spectrometer is a sensitive instrument developed originally for trace gas measurements and has lately been successfully applied for measuring light-absorbing particles, such as aerosols. The finite inertia of aerosol particles can cause the particles to be deposited on the walls in the spectrometer’s flow channels, which creates a source of uncertainty for the measurement process. In this study, we characterized this inertial deposition in the spectrometer using finite element-based modeling. First, computational fluid dynamics was used to calculate the di

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6

Zhao, Lihao, Niranjan R. Challabotla, Helge I. Andersson, and Evan A. Variano. "Mapping spheroid rotation modes in turbulent channel flow: effects of shear, turbulence and particle inertia." Journal of Fluid Mechanics 876 (July 31, 2019): 19–54. http://dx.doi.org/10.1017/jfm.2019.521.

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The rotational behaviour of non-spherical particles in turbulent channel flow is studied by Lagrangian tracking of spheroidal point particles in a directly simulated flow. The focus is on the complex rotation modes of the spheroidal particles, in which the back reaction on the flow field is ignored. This study is a sequel to the letter by Zhao et al. (Phys. Rev. Lett., vol. 115, 2015, 244501), in which only selected results in the near-wall buffer region and the almost-isotropic channel centre were presented. Now, particle dynamics all across the channel is explored to provide a complete pictu

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7

Ireland, Peter J., and Lance R. Collins. "Direct numerical simulation of inertial particle entrainment in a shearless mixing layer." Journal of Fluid Mechanics 704 (July 2, 2012): 301–32. http://dx.doi.org/10.1017/jfm.2012.241.

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AbstractWe present the first computational study of the dynamics of inertial particles in a shearless turbulence mixing layer. We parametrize our direct numerical simulations to isolate the effects of turbulence, Reynolds number, particle inertia, and gravity on the entrainment process. By analysing particle concentrations, particle and fluid velocities, particle size distributions, and higher-order velocity moments, we explore the impact of particle inertia and gravity on the mechanism of turbulent mixing. We neglect thermodynamic processes, including phase changes between the drops and surro

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8

Tsuda, A., J. P. Butler, and J. J. Fredberg. "Effects of alveolated duct structure on aerosol kinetics. II. Gravitational sedimentation and inertial impaction." Journal of Applied Physiology 76, no. 6 (1994): 2510–16. http://dx.doi.org/10.1152/jappl.1994.76.6.2510.

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We studied the effects of alveolated duct structure on deposition processes for particle diameters > or = 1 micron. For such large particles, Brownian motion is insignificant but gravity and inertial forces play an important role. A Lagrangian description of particle dynamics in an alveolated duct flow was developed, and computational analysis was performed over the physiologically relevant range. At low flow rates gravity caused deposition. Gravitational cross-streamline motion depended on the coupled effects of curvature of gas streamlines and duct orientation relative to gravity. The det

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9

Gibert, Mathieu, Haitao Xu, and Eberhard Bodenschatz. "Where do small, weakly inertial particles go in a turbulent flow?" Journal of Fluid Mechanics 698 (March 27, 2012): 160–67. http://dx.doi.org/10.1017/jfm.2012.72.

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AbstractWe report experimental results on the dynamics of heavy particles of the size of the Kolmogorov scale in a fully developed turbulent flow. The mixed Eulerian structure function of two-particle velocity and acceleration difference vectors $\langle {\delta }_{r} \mathbi{v}\boldsymbol{\cdot} {\delta }_{r} {\mathbi{a}}_{\mathbi{p}} \rangle $ was observed to increase significantly with particle inertia for identical flow conditions. We show that this increase is related to a preferential alignment between these dynamical quantities. With increasing particle density the probability for those

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10

Schaaf, Christian, Felix Rühle, and Holger Stark. "A flowing pair of particles in inertial microfluidics." Soft Matter 15, no. 9 (2019): 1988–98. http://dx.doi.org/10.1039/c8sm02476f.

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A flowing pair of particles in inertial microfluidics gives important insights into understanding and controlling the collective dynamics of particles like cells or droplets in microfluidic devices. For rigid particles we determine the two-particle lift force profiles, which govern their coupled dynamics.

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11

Banerjee, I., M. E. Rosti, T. Kumar, L. Brandt, and A. Russom. "Analogue tuning of particle focusing in elasto-inertial flow." Meccanica 56, no. 7 (2021): 1739–49. http://dx.doi.org/10.1007/s11012-021-01329-z.

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AbstractWe report a unique tuneable analogue trend in particle focusing in the laminar and weak viscoelastic regime of elasto-inertial flows. We observe experimentally that particles in circular cross-section microchannels can be tuned to any focusing bandwidths that lie between the “Segre-Silberberg annulus” and the centre of a circular microcapillary. We use direct numerical simulations to investigate this phenomenon and to understand how minute amounts of elasticity affect the focussing of particles at increasing flow rates. An Immersed Boundary Method is used to account for the presence of

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12

Lee, C. M., Á. Gylfason, P. Perlekar, and F. Toschi. "Inertial particle acceleration in strained turbulence." Journal of Fluid Mechanics 785 (November 12, 2015): 31–53. http://dx.doi.org/10.1017/jfm.2015.579.

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The dynamics of inertial particles in turbulence is modelled and investigated by means of direct numerical simulation of an axisymmetrically expanding homogeneous turbulent strained flow. This flow can mimic the dynamics of particles close to stagnation points. The influence of mean straining flow is explored by varying the dimensionless strain rate parameter $Sk_{0}/{\it\epsilon}_{0}$ from 0.2 to 20, where $S$ is the mean strain rate, $k_{0}$ and ${\it\epsilon}_{0}$ are the turbulent kinetic energy and energy dissipation rate at the onset of straining. We report results relative to the accele

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13

Nguyen, Son Minh, Duc Viet Le, and Paul Havinga. "iMoT: Inertial Motion Transformer for Inertial Navigation." Proceedings of the AAAI Conference on Artificial Intelligence 39, no. 6 (2025): 6209–17. https://doi.org/10.1609/aaai.v39i6.32664.

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We propose iMoT, an innovative Transformer-based inertial odometry method that retrieves cross-modal information from motion and rotation modalities for accurate positional estimation. Unlike prior work, during the encoding of the motion context, we introduce Progressive Series Decoupler at the beginning of each encoder layer to stand out critical motion events inherent in acceleration and angular velocity signals. To better aggregate cross-modal interactions, we present Adaptive Positional Encoding, which dynamically modifies positional embeddings for temporal discrepancies between different

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14

ESCAURIAZA, CRISTIAN, and FOTIS SOTIROPOULOS. "Trapping and sedimentation of inertial particles in three-dimensional flows in a cylindrical container with exactly counter-rotating lids." Journal of Fluid Mechanics 641 (November 19, 2009): 169–93. http://dx.doi.org/10.1017/s0022112009991534.

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Stirring and sedimentation of solid inertial particles in low-Reynolds-number flows has acquired great relevance in multiple environmental, industrial and microfluidic systems, but few detailed numerical studies have focused on chaotically advected experimentally realizable flows. We carry out one-way coupling simulations to study the dynamics of inertial particles in the steady three-dimensional flow in a cylindrical container with exactly counter-rotating lids, which was recently studied by Lackey & Sotiropoulos (Phys. Fluids, vol. 18, 2006, paper no. 053601). We elucidate the rich Lagra

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15

Haddadi, Hamed, and Dino Di Carlo. "Inertial flow of a dilute suspension over cavities in a microchannel." Journal of Fluid Mechanics 811 (December 13, 2016): 436–67. http://dx.doi.org/10.1017/jfm.2016.709.

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Microfluidic experiments and discrete particle simulations using the lattice-Boltzmann method are used to study interactions of finite size hard spheres and vortical flow inside confined cavities in a microchannel. The work focuses on entrapment of particles inside confined cavities and particle dynamics after entrapment. Numerical simulations and imaging of fluorescent tracers demonstrate that spiralling flow generates exchange of fluid mass between the vortical flow and the channel, contrary to the concept of a well-defined separatrix in unconfined cavities. An isolated finite size particle

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16

Zamansky, R., F. Coletti, M. Massot, and A. Mani. "Turbulent thermal convection driven by heated inertial particles." Journal of Fluid Mechanics 809 (November 10, 2016): 390–437. http://dx.doi.org/10.1017/jfm.2016.630.

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The heating of particles in a dilute suspension, for instance by radiation, chemical reactions or radioactivity, leads to local temperature fluctuations in the fluid due to the non-uniformity of the disperse phase. In the presence of a gravity field, the fluid is set in motion by the resulting buoyancy forces. When the particle density is different than that of the fluid, the fluid motion alters the spatial distribution of the particles and possibly strengthens their concentration inhomogeneities. This in turn causes more intense local heating. Direct numerical simulations in the Boussinesq li

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17

Wang, Lian-Ping, and Martin R. Maxey. "Settling velocity and concentration distribution of heavy particles in homogeneous isotropic turbulence." Journal of Fluid Mechanics 256 (November 1993): 27–68. http://dx.doi.org/10.1017/s0022112093002708.

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The average settling velocity in homogeneous turbulence of a small rigid spherical particle, subject to a Stokes drag force, has been shown to differ from that in still fluid owing to a bias from the particle inertia (Maxey 1987). Previous numerical results for particles in a random flow field, where the flow dynamics were not considered, showed an increase in the average settling velocity. Direct numerical simulations of the motion of heavy particles in isotropic homogeneous turbulence have been performed where the flow dynamics are included. These show that a significant increase in the aver

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18

Zaza, Domenico, and Michele Iovieno. "Influence of Coherent Vortex Rolls on Particle Dynamics in Unstably Stratified Turbulent Channel Flows." Energies 17, no. 11 (2024): 2725. http://dx.doi.org/10.3390/en17112725.

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This work investigates the dynamics of heavy particles dispersed in turbulent channel flows under unstable thermal stratification conditions using point-particle direct numerical simulations (PP-DNS), to quantify the influence of large-scale coherent vortex rolls, arising from the combined effects of shear and buoyancy, on the spatial distribution and preferential sampling behavior of inertial particles. We examined three particle Stokes numbers (St+=0.6,60,120) and two friction Richardson numbers, Riτ=0.272 and Riτ=27.2, which exemplify the regimes below and above the critical condition for v

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19

Patel, Kuntal, and Holger Stark. "A pair of particles in inertial microfluidics: effect of shape, softness, and position." Soft Matter 17, no. 18 (2021): 4804–17. http://dx.doi.org/10.1039/d1sm00276g.

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20

Ray, Baidurja, and Lance R. Collins. "Investigation of sub-Kolmogorov inertial particle pair dynamics in turbulence using novel satellite particle simulations." Journal of Fluid Mechanics 720 (February 27, 2013): 192–211. http://dx.doi.org/10.1017/jfm.2013.24.

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AbstractClustering (or preferential concentration) of weakly inertial particles suspended in a homogeneous isotropic turbulent flow is driven primarily by the smallest eddies at the so-called Kolmogorov scale. In particle-laden large-eddy simulations (LES), these small scales are not resolved by the grid and hence their effect on both the resolved flow scales and the particle motion have to be modelled. In order to predict clustering in a particle-laden LES, it is crucial that the subgrid model for the particles captures the mechanism by which the subgrid scales affect the particle motion (Ray

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21

VOLK, R., E. CALZAVARINI, E. LÉVÊQUE, and J. F. PINTON. "Dynamics of inertial particles in a turbulent von Kármán flow." Journal of Fluid Mechanics 668 (January 26, 2011): 223–35. http://dx.doi.org/10.1017/s0022112010005690.

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We study the dynamics of neutrally buoyant particles with diameters varying in the range [1, 45] in Kolmogorov scale units (η) and Reynolds numbers based on Taylor scale (Reλ) between 590 and 1050. One component of the particle velocity is measured using an extended laser Doppler velocimetry at the centre of a von Kármán flow, and acceleration is derived by differentiation. We find that the particle acceleration variance decreases with increasing diameter with scaling close to (D/η)−2/3, in agreement with previous observations, and with a hint for an intermittent correction as suggested by arg

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22

Haller, George. "Solving the inertial particle equation with memory." Journal of Fluid Mechanics 874 (July 3, 2019): 1–4. http://dx.doi.org/10.1017/jfm.2019.378.

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The dynamics of spherical particles in a fluid flow is governed by the well-accepted Maxey–Riley equation. This equation of motion simply represents Newton’s second law, equating the rate of change of the linear momentum with all forces acting on the particle. One of these forces, the Basset–Boussinesq memory term, however, is notoriously difficult to handle, which prompts most studies to ignore this term despite ample numerical and experimental evidence of its significance. This practice may well change now due to a clever reformulation of the particle equation of motion by Prasath, Vasan &am

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23

Haugen, Jeffery, Jesse Ziebarth, Eugene C. Eckstein, Mohamed Laradji, and Yongmei Wang. "Hydrodynamic and transport behavior of solid nanoparticles simulated with dissipative particle dynamics." Advances in Natural Sciences: Nanoscience and Nanotechnology 14, no. 2 (2023): 025006. http://dx.doi.org/10.1088/2043-6262/acc01e.

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Abstract Inertial migration of micro- and nanoparticles flowing through microchannels is commonly used for particle separation, sorting, and focusing on many lab-on-a-chip devices. Computer simulations of inertial migration of nanoparticles by mesoscale simulation methods, such as Dissipative Particle Dynamics (DPD) would be helpful to future experimental development of these lab-on-a-chip devices. However, the conventional DPD approach has a low Schmidt number and its ability to model inertial migration is questioned. In this work, we examine the ability of DPD simulations to investigate the

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24

Saha, Suvash C., Isabella Francis, and Tanya Nassir. "Computational Inertial Microfluidics: Optimal Design for Particle Separation." Fluids 7, no. 9 (2022): 308. http://dx.doi.org/10.3390/fluids7090308.

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Following the emergence of many blood transfusion-associated diseases, novel passive cell separation technologies, such as microfluidic devices, are increasingly designed and optimized to separate red blood cells (RBCs) and white blood cells (WBCs) from whole blood. These systems allow for the rapid diagnosis of diseases without relying on complicated and expensive hematology instruments such as flow microscopes, coagulation analyzers, and cytometers. The inertia effect and the impact of intrinsic hydrodynamic forces, the Dean drag force (FD), and the inertial lift force (FL) on the migration

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25

Krafcik, Andrej, Peter Babinec, Oliver Strbak, and Ivan Frollo. "A Theoretical Analysis of Magnetic Particle Alignment in External Magnetic Fields Affected by Viscosity and Brownian Motion." Applied Sciences 11, no. 20 (2021): 9651. http://dx.doi.org/10.3390/app11209651.

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The interaction of an external magnetic field with magnetic objects affects their response and is a fundamental property for many biomedical applications, including magnetic resonance and particle imaging, electromagnetic hyperthermia, and magnetic targeting and separation. Magnetic alignment and relaxation are widely studied in the context of these applications. In this study, we theoretically investigate the alignment dynamics of a rotational magnetic particle as an inverse process to Brownian relaxation. The selected external magnetic flux density ranges from 5μT to 5T. We found that the vi

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26

Olsen, Kristian Stølevik, and Hartmut Löwen. "Dynamics of inertial particles under velocity resetting." Journal of Statistical Mechanics: Theory and Experiment 2024, no. 3 (2024): 033210. http://dx.doi.org/10.1088/1742-5468/ad319a.

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Abstract We investigate stochastic resetting in coupled systems involving two degrees of freedom, where only one variable is reset. The resetting variable, which we think of as hidden, indirectly affects the remaining observable variable via correlations. We derive the Fourier–Laplace transforms of the observable variable’s propagator and provide a recursive relation for all the moments, facilitating a comprehensive examination of the process. We apply this framework to inertial transport processes where we observe the particle position while the velocity is hidden and is being reset at a cons

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27

Cardall, Christian. "Minkowski and Galilei/Newton Fluid Dynamics: A Geometric 3 + 1 Spacetime Perspective." Fluids 4, no. 1 (2018): 1. http://dx.doi.org/10.3390/fluids4010001.

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A kinetic theory of classical particles serves as a unified basis for developing a geometric 3 + 1 spacetime perspective on fluid dynamics capable of embracing both Minkowski and Galilei/Newton spacetimes. Parallel treatment of these cases on as common a footing as possible reveals that the particle four-momentum is better regarded as comprising momentum and inertia rather than momentum and energy; and, consequently, that the object now known as the stress-energy or energy-momentum tensor is more properly understood as a stress-inertia or inertia-momentum tensor. In dealing with both fiducial

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28

Hiranuma, Naruki, Ottmar Möhler, Gourihar Kulkarni, et al. "Development and characterization of an ice-selecting pumped counterflow virtual impactor (IS-PCVI) to study ice crystal residuals." Atmospheric Measurement Techniques 9, no. 8 (2016): 3817–36. http://dx.doi.org/10.5194/amt-9-3817-2016.

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Abstract. Separation of particles that play a role in cloud activation and ice nucleation from interstitial aerosols has become necessary to further understand aerosol-cloud interactions. The pumped counterflow virtual impactor (PCVI), which uses a vacuum pump to accelerate the particles and increase their momentum, provides an accessible option for dynamic and inertial separation of cloud elements. However, the use of a traditional PCVI to extract large cloud hydrometeors is difficult mainly due to its small cut-size diameters (< 5 µm). Here, for the first time we describe a development of

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29

Brandt, Luca, and Filippo Coletti. "Particle-Laden Turbulence: Progress and Perspectives." Annual Review of Fluid Mechanics 54, no. 1 (2022): 159–89. http://dx.doi.org/10.1146/annurev-fluid-030121-021103.

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This review is motivated by the fast progress in our understanding of the physics of particle-laden turbulence in the last decade, partly due to the tremendous advances of measurement and simulation capabilities. The focus is on spherical particles in homogeneous and canonical wall-bounded flows. The analysis of recent data indicates that conclusions drawn in zero gravity should not be extrapolated outside of this condition, and that the particle response time alone cannot completely define the dynamics of finite-size particles. Several breakthroughs have been reported, mostly separately, on t

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Ireland, Peter J., Andrew D. Bragg, and Lance R. Collins. "The effect of Reynolds number on inertial particle dynamics in isotropic turbulence. Part 1. Simulations without gravitational effects." Journal of Fluid Mechanics 796 (May 11, 2016): 617–58. http://dx.doi.org/10.1017/jfm.2016.238.

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In this study, we analyse the statistics of both individual inertial particles and inertial particle pairs in direct numerical simulations of homogeneous isotropic turbulence in the absence of gravity. The effect of the Taylor microscale Reynolds number, $R_{{\it\lambda}}$, on the particle statistics is examined over the largest range to date (from $R_{{\it\lambda}}=88$ to 597), at small, intermediate and large Kolmogorov-scale Stokes numbers $St$. We first explore the effect of preferential sampling on the single-particle statistics and find that low-$St$ inertial particles are ejected from b

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31

Kawaguchi, Misa, Tomohiro Fukui, and Koji Morinishi. "Contribution of Particle–Wall Distance and Rotational Motion of a Single Confined Elliptical Particle to the Effective Viscosity in Pressure-Driven Plane Poiseuille Flows." Applied Sciences 11, no. 15 (2021): 6727. http://dx.doi.org/10.3390/app11156727.

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Rheological properties of the suspension flow, especially effective viscosity, partly depend on spatial arrangement and motion of suspended particles. It is important to consider effective viscosity from the microscopic point of view. For elliptical particles, the equilibrium position of inertial migration in confined state is unclear, and there are few studies on the relationship between dynamics of suspended particles and induced local effective viscosity distribution. Contribution of a single circular or elliptical particle flowing between parallel plates to the effective viscosity was stud

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Li, Xiang-Yu, and Lars Mattsson. "Coagulation of inertial particles in supersonic turbulence." Astronomy & Astrophysics 648 (April 2021): A52. http://dx.doi.org/10.1051/0004-6361/202040068.

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Coagulation driven by supersonic turbulence is primarily an astrophysical problem because coagulation processes on Earth are normally associated with incompressible fluid flows at low Mach numbers, while dust aggregation in the interstellar medium for instance is an example of the opposite regime. We study coagulation of inertial particles in compressible turbulence using high-resolution direct and shock-capturing numerical simulations with a wide range of Mach numbers from nearly incompressible to moderately supersonic. The particle dynamics is simulated by representative particles and the ef

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33

Zhu, Zeen, Pavlos Kollias, and Fan Yang. "Particle inertial effects on radar Doppler spectra simulation." Atmospheric Measurement Techniques 16, no. 15 (2023): 3727–37. http://dx.doi.org/10.5194/amt-16-3727-2023.

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Abstract. Radar Doppler spectra observations provide a wealth of information about cloud and precipitation microphysics and dynamics. The interpretation of these measurements depends on our ability to simulate these observations accurately using a forward model. The effect of small-scale turbulence on the radar Doppler spectra shape has been traditionally treated by implementing the convolution process on the hydrometeor reflectivity spectrum and environmental turbulence. This approach assumes that all the particles in the radar sampling volume respond the same to turbulent-scale velocity fluc

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34

Braysh, Lama, Patrick Mutabaruka, Farhang Radjai, and Serge Mora. "Dynamics of wet granular flows down an inclined plane." Journal of Rheology 69, no. 4 (2025): 409–22. https://doi.org/10.1122/8.0000912.

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Despite the important role of wet granular flows in numerous industrial and natural processes, their rheology in the inertial regime has only recently been formalized [T. T. Vo et al., Nat. Commun. 11, 1476 (2020)] through a single dimensionless number that combines cohesive, confining, and inertial stresses. In this paper, we investigate the applicability of this model to wet granular flows down an inclined plane, specifically analyzing the velocity profiles and their dependence on the slope angle and surface tension of the binding liquid. Using particle dynamics simulations of spherical part

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Harding, Brendan, Yvonne M. Stokes, and Andrea L. Bertozzi. "Effect of inertial lift on a spherical particle suspended in flow through a curved duct." Journal of Fluid Mechanics 875 (July 18, 2019): 1–43. http://dx.doi.org/10.1017/jfm.2019.323.

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We develop a model of the forces on a spherical particle suspended in flow through a curved duct under the assumption that the particle Reynolds number is small. This extends an asymptotic model of inertial lift force previously developed to study inertial migration in straight ducts. Of particular interest is the existence and location of stable equilibria within the cross-sectional plane towards which particles migrate. The Navier–Stokes equations determine the hydrodynamic forces acting on a particle. A leading-order model of the forces within the cross-sectional plane is obtained through t

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36

Ireland, Peter J., Andrew D. Bragg, and Lance R. Collins. "The effect of Reynolds number on inertial particle dynamics in isotropic turbulence. Part 2. Simulations with gravitational effects." Journal of Fluid Mechanics 796 (May 11, 2016): 659–711. http://dx.doi.org/10.1017/jfm.2016.227.

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In Part 1 of this study (Ireland et al., J. Fluid Mech., vol. 796, 2016, pp. 617–658), we analysed the motion of inertial particles in isotropic turbulence in the absence of gravity using direct numerical simulation (DNS). Here, in Part 2, we introduce gravity and study its effect on single-particle and particle-pair dynamics over a wide range of flow Reynolds numbers, Froude numbers and particle Stokes numbers. The overall goal of this study is to explore the mechanisms affecting particle collisions, and to thereby improve our understanding of droplet interactions in atmospheric clouds. We fi

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Vié, Aymeric, François Doisneau, and Marc Massot. "On the Anisotropic Gaussian Velocity Closure for Inertial-Particle Laden Flows." Communications in Computational Physics 17, no. 1 (2014): 1–46. http://dx.doi.org/10.4208/cicp.021213.140514a.

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AbstractThe accurate simulation of disperse two-phase flows, where a discrete particulate condensed phase is transported by a carrier gas, is crucial for many applications; Eulerian approaches are well suited for high performance computations of such flows. However when the particles from the disperse phase have a significant inertia compared to the time scales of the flow, particle trajectory crossing (PTC) occurs i.e. the particle velocity distribution at a given location can become multi-valued. To properly account for such a phenomenon many Eulerian moment methods have been recently propos

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Dabade, Vivekanand, Navaneeth K. Marath, and Ganesh Subramanian. "The effect of inertia on the orientation dynamics of anisotropic particles in simple shear flow." Journal of Fluid Mechanics 791 (February 24, 2016): 631–703. http://dx.doi.org/10.1017/jfm.2016.14.

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It is well known that, under inertialess conditions, the orientation vector of a torque-free neutrally buoyant spheroid in an ambient simple shear flow rotates along so-called Jeffery orbits, a one-parameter family of closed orbits on the unit sphere centred around the direction of the ambient vorticity (Jeffery, Proc. R. Soc. Lond. A, vol. 102, 1922, pp. 161–179). We characterize analytically the irreversible drift in the orientation of such torque-free spheroidal particles of an arbitrary aspect ratio, across Jeffery orbits, that arises due to weak inertial effects. The analysis is valid in

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Cui, Zhiwen, Huancong Liu, Jingran Qiu, and Lihao Zhao. "Effect of slip-induced fluid inertial torque on the angular dynamics of spheroids in a linear shear flow." Physics of Fluids 36, no. 3 (2024). http://dx.doi.org/10.1063/5.0197006.

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The angular dynamics of tiny spheroidal particles in shear flows have been widely investigated, but most of the studies mainly focus on the effect of strong shear, while the combined effect of both shear and slip velocity at the center of the particle has been less considered. Actually, the fluid inertial torque induced by the slip velocity between particle and fluid plays a significant role in spheroid angular dynamics. However, it is difficult to investigate these dynamics theoretically until the analytical expression of the fluid inertial torque at a small Reynolds number was derived by Dab

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Sprenger, Alexander R., Lorenzo Caprini, Hartmut Lowen, and René Wittmann. "Dynamics of active particles with translational and rotational inertia." Journal of Physics: Condensed Matter, April 14, 2023. http://dx.doi.org/10.1088/1361-648x/accd36.

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Abstract Inertial eﬀects aﬀecting both the translational and rotational dynamics are inherent to a broad range of active systems at the macroscopic scale. Thus, there is a pivotal need for proper models in the framework of active matter to correctly reproduce experimental results, hopefully achieving theoretical insights. For this purpose, we propose an inertial version of the active Ornstein-Uhlenbeck particle (AOUP) model accounting for particle mass (translational inertia) as well as its moment of inertia (rotational inertia) and derive the full expression for its steady-state properties. T

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Magnani, Marta, Stefano Musacchio, and Guido Boffetta. "Inertial effects in dusty Rayleigh–Taylor turbulence." Journal of Fluid Mechanics 926 (September 7, 2021). http://dx.doi.org/10.1017/jfm.2021.713.

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We investigate the dynamics of a dilute suspension of small, heavy particles superposed on a reservoir of still, pure fluid. The study is performed by means of numerical simulations of the Saffman model for a dilute particle suspension (Saffman, J. Fluid Mech., vol. 13, issue 1, 1962, pp. 120–128). In the presence of gravity forces, the interface between the two phases is unstable and evolves in a turbulent mixing layer which broadens in time. In the case of negligible particle inertia, the particle-laden phase behaves as a denser fluid, and the dynamics of the system recovers to that of the i

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Chen, Dongming, Wenjun Yuan, and Xiangdong Han. "Dynamics and dispersion of inertial particles in circular cylinder wake flows: A two-way coupled Eulerian–Lagrangian approach." Modern Physics Letters B, November 30, 2023. http://dx.doi.org/10.1142/s0217984924501239.

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In this paper, the motion of inertial particles in three-dimensional (3D) unsteady cylindrical wake flow is investigated by a two-way coupled Eulerian–Lagrangian approach. At different flow Reynolds numbers (Re), the corresponding striking dynamic property and dispersion mechanism of four particle classes have been studied, with inertia parameterized by means of Stokes number (Sk). It is found that inertial particles with lower Stokes number are expelled from vortex cores, and coherent voids encompass the local Kármán vortex cells. As Stokes number increases, a low velocity particle channel co

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Nath, Anu V. S., and Anubhab Roy. "Clustering and chaotic motion of heavy inertial particles in an isolated non-axisymmetric vortex." Journal of Fluid Mechanics 998 (November 5, 2024). http://dx.doi.org/10.1017/jfm.2024.831.

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We investigate the dynamics of heavy inertial particles in a flow field due to an isolated, non-axisymmetric vortex. For our study, we consider a canonical elliptical vortex – the Kirchhoff vortex and its strained variant, the Kida vortex. Contrary to the anticipated centrifugal dispersion of inertial particles, which is typical in open vortical flows, we observe the clustering of particles around co-rotating attractors near the Kirchhoff vortex due to its non-axisymmetric nature. We analyse the inertia-modified stability characteristics of the fixed points, highlighting how some of the fixed

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Cui, Zhiwen, Jingran Qiu, Xinyu Jiang, and Lihao Zhao. "Effect of fluid inertial torque on the rotational and orientational dynamics of tiny spheroidal particles in turbulent channel flow." Journal of Fluid Mechanics 977 (December 14, 2023). http://dx.doi.org/10.1017/jfm.2023.942.

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Rotation and orientation of non-spherical particles in a fluid flow depend on the hydrodynamic torque they experience. However, little is known about the effect of the fluid inertial torque on the dynamics of tiny inertial spheroids in turbulent channel flows, as only Jeffery torque has been considered in previous studies by point-particle direct numerical simulations. In this study, we investigate the rotation and orientation of tiny spheroids with both fluid inertial torque and Jeffery torque in a turbulent channel flow. By comparing with the case in the absence of fluid inertial torque, we

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Zero, Emmy N., and Vincent H. Crespi. "Emergence of inertia in the low-Reynolds regime of self-diffusiophoretic motion." Physical Review E 109, no. 5 (2024). http://dx.doi.org/10.1103/physreve.109.054602.

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For isotropic swimming particles driven by self-diffusiophoresis at zero Reynolds number (where particle velocity responds instantaneously to applied force), the diffusive timescale of emitted solute can produce an emergent quasi-inertial behavior. These particles can orbit in a central potential and reorient under second-order dynamics, not the first-order dynamics of classical zero-Reynolds motion. They are described by a simple effective model that embeds their history-dependent behavior as an effective inertia, this being the most primitive expression of memory. The system can be parameter

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Williams, Josh, Uwe Wolfram, and Ali Ozel. "Neural stochastic differential equations for particle dispersion in large-eddy simulations of homogeneous isotropic turbulence." Physics of Fluids, October 16, 2022. http://dx.doi.org/10.1063/5.0121344.

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In dilute turbulent particle-laden flows, such as atmospheric dispersion of pollutants or virus particles, the dynamics of tracer-like to low inertial particles are significantly altered by the fluctuating motion of the carrier fluid phase. Neglecting the effects of fluid velocity fluctuations on particle dynamics causes poor prediction of particle transport and dispersion. To account for the effects of fluid phase fluctuating velocity on the particle transport, stochastic differential equations coupled with large eddy simulation are proposed to model the fluid velocity seen by the particle. T

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Katsikis, Georgios, Jesse F. Collis, Scott M. Knudsen, Vincent Agache, John E. Sader, and Scott R. Manalis. "Inertial and viscous flywheel sensing of nanoparticles." Nature Communications 12, no. 1 (2021). http://dx.doi.org/10.1038/s41467-021-25266-3.

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AbstractRotational dynamics often challenge physical intuition while enabling unique realizations, from the rotor of a gyroscope that maintains its orientation regardless of the outer gimbals, to a tennis racket that rotates around its handle when tossed face-up in the air. In the context of inertial sensing, which can measure mass with atomic precision, rotational dynamics are normally considered a complication hindering measurement interpretation. Here, we exploit the rotational dynamics of a microfluidic device to develop a modality in inertial sensing. Combining theory with experiments, we

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Ghosh, Swagnik, and Partha Sarathi Goswami. "Dynamics of particle-laden turbulent Couette flow: Turbulence modulation by inertial particles." Physics of Fluids, August 5, 2022. http://dx.doi.org/10.1063/5.0097173.

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In particle-laden turbulent flows, it is established that the turbulence in the carrier fluid phase gets affected by the dispersed particle phase for volume fractions above $10^{-4}$. Hence, reverse coupling or two-way coupling becomes relevant in that volume fraction regime. Due to their greater inertia, larger particles change either the mean flow or the intensity of fluid phase fluctuations. In a recent study \citep{muramulla2020disruption}, a discontinuous decrease of turbulence intensity is observed in a vertical particle-laden turbulent channel flow for a critical volume fraction O($10^{

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Shuai, Shuai, and M. Houssem Kasbaoui. "Accelerated decay of a Lamb–Oseen vortex tube laden with inertial particles in Eulerian–Lagrangian simulations." Journal of Fluid Mechanics 936 (February 7, 2022). http://dx.doi.org/10.1017/jfm.2022.50.

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We investigate the effect of inertial particles on the stability and decay of a prototypical vortex tube, represented by a two-dimensional Lamb–Oseen vortex. In the absence of particles, the strong stability of this flow makes it resilient to perturbations, whereby vorticity and enstrophy decay at a slow rate controlled by viscosity. Using Eulerian–Lagrangian simulations, we show that the dispersion of semidilute inertial particles accelerates the decay of the vortex tube by orders of magnitude. In this work, mass loading is unity, ensuring that the fluid and particle phases are tightly couple

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Zhang, Yu, and Haitao Xu. "Caustics of inertial particles observed along Lagrangian particle trajectories." Journal of Fluid Mechanics 1014 (June 30, 2025). https://doi.org/10.1017/jfm.2025.10206.

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We extend the perceived velocity gradient defined by a group of particles that was previously used to investigate the Lagrangian statistics of fluid turbulence to the study of inertial particle dynamics. Using data from direct numerical simulations, we observe the correlation between the strong compression in the particle phase and the instantaneous local fluid compression. Furthermore, the Lagrangian nature of the particle velocity gradient defined in this way allows an investigation of its evolution along particle trajectories, including the process after the caustic event, or the blow-up of

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