Shear-induced lift force on spheres in a viscous linear shear flow at finite volume fractions

Akiki, G.; Balachandar, S.

doi:10.1063/5.0024642

Shear-induced lift force on spheres in a viscous linear shear flow at finite volume fractions

Journal Article · Thu Nov 05 00:00:00 EST 2020 · Physics of Fluids

DOI:https://doi.org/10.1063/5.0024642· OSTI ID:1850327

^[1]; ^[2]

Univ. of Florida, Gainesville, FL (United States). Dept. of Mechanical and Aerospace Engineering; Notre Dame Univ.–Louaize, Zouk Mosbeh (Lebanon). Dept. of Mechanical Engineering; Univ. of Florida, Gainesville, FL (United States)
Univ. of Florida, Gainesville, FL (United States). Dept. of Mechanical and Aerospace Engineering

Several studies have shown a significant increase in drag on a distribution of solid spherical particles within a fluid with increasing particle volume fraction. As a result, many empirical drag laws accounting for the dependence on the Reynolds number and volume fraction can be found in the literature. This study investigates the possibility of a similar effect of the particle volume fraction on the mean hydrodynamic lift force on randomly distributed spherical particles in a linear shear flow. Particle-resolved direct numerical simulations are performed to evaluate the mean lift force, and the results are compared with the case of an isolated particle in a linear shear flow for the same Reynolds number and shear rate. The mean lift force acting on the particles appears to remain nearly the same as that on an isolated particle. However, due to the influence of neighboring particles, there is a substantial force variation in transverse directions on each individual particle, whose magnitude is comparable to the mean drag force. The distribution of drag force in a linear shear flow is shown to be nearly the same as in a uniform flow at the same volume fraction and Reynolds number. A simple stochastic model based on a Gaussian distribution is presented for the lift force variation, and its performance is compared to the prediction of the deterministic pairwise interaction extended point-particle model.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Florida, Gainesville, FL (United States)

Sponsoring Organization:: USDOE; USDOE National Nuclear Security Administration (NNSA); e Office of Naval Research (ONR)

Grant/Contract Number:: NA0002378

OSTI ID:: 1850327

Alternate ID(s):: OSTI ID: 1703777

Journal Information:: Physics of Fluids, Journal Name: Physics of Fluids Journal Issue: 11 Vol. 32; ISSN 1070-6631

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (28)

Drag force of intermediate Reynolds number flow past mono- and bidisperse arrays of spheres Beetstra, R.; van der Hoef, M. A.; Kuipers, J. A. M. AIChE Journal, Vol. 53, Issue 2 https://doi.org/10.1002/aic.11065	journal	January 2007
A new drag correlation from fully resolved simulations of flow past monodisperse static arrays of spheres (Yali) Tang, Y.; (Frank) Peters, E. A. J. F.; (Hans) Kuipers, J. A. M. AIChE Journal, Vol. 61, Issue 2 https://doi.org/10.1002/aic.14645	journal	October 2014
Toward particle-resolved accuracy in Euler–Lagrange simulations of multiphase flow using machine learning and pairwise interaction extended point-particle (PIEP) approximation Balachandar, S.; Moore, W. C.; Akiki, G. Theoretical and Computational Fluid Dynamics, Vol. 34, Issue 4 https://doi.org/10.1007/s00162-020-00538-8	journal	June 2020
On the drag coefficient of a sphere Flemmer, R. L. C.; Banks, C. L. Powder Technology, Vol. 48, Issue 3 https://doi.org/10.1016/0032-5910(86)80044-4	journal	November 1986
Settling velocities of particulate systems, 3. Power series expansion for the drag coefficient of a sphere and prediction of the settling velocity Concha, F.; Barrientos, A. International Journal of Mineral Processing, Vol. 9, Issue 2 https://doi.org/10.1016/0301-7516(82)90025-4	journal	April 1982
An approximate expression for the shear lift force on a spherical particle at finite reynolds number Mei, R. International Journal of Multiphase Flow, Vol. 18, Issue 1 https://doi.org/10.1016/0301-9322(92)90012-6	journal	January 1992
A new relation of drag force for high Stokes number monodisperse spheres by direct numerical simulation Zaidi, Ali Abbas; Tsuji, Takuya; Tanaka, Toshitsugu Advanced Powder Technology, Vol. 25, Issue 6 https://doi.org/10.1016/j.apt.2014.07.019	journal	November 2014
Rolling/sliding of a particle on a flat wall in a linear shear flow at finite Re Lee, Hyungoo; Ha, Man Yeong; Balachandar, S. International Journal of Multiphase Flow, Vol. 37, Issue 2 https://doi.org/10.1016/j.ijmultiphaseflow.2010.10.005	journal	March 2011
Drag law for monodisperse gas–solid systems using particle-resolved direct numerical simulation of flow past fixed assemblies of spheres Tenneti, S.; Garg, R.; Subramaniam, S. International Journal of Multiphase Flow, Vol. 37, Issue 9 https://doi.org/10.1016/j.ijmultiphaseflow.2011.05.010	journal	November 2011
Drag correlation for dilute and moderately dense fluid-particle systems using the lattice Boltzmann method Bogner, Simon; Mohanty, Swati; Rüde, Ulrich International Journal of Multiphase Flow, Vol. 68 https://doi.org/10.1016/j.ijmultiphaseflow.2014.10.001	journal	January 2015
Immersed boundary method with non-uniform distribution of Lagrangian markers for a non-uniform Eulerian mesh Akiki, G.; Balachandar, S. Journal of Computational Physics, Vol. 307 https://doi.org/10.1016/j.jcp.2015.11.019	journal	February 2016
Pairwise-interaction extended point-particle model for particle-laden flows Akiki, G.; Moore, W. C.; Balachandar, S. Journal of Computational Physics, Vol. 351 https://doi.org/10.1016/j.jcp.2017.07.056	journal	December 2017
A hybrid point-particle force model that combines physical and data-driven approaches Moore, W. C.; Balachandar, S.; Akiki, G. Journal of Computational Physics, Vol. 385 https://doi.org/10.1016/j.jcp.2019.01.053	journal	May 2019
Pairwise interaction extended point-particle model for a random array of monodisperse spheres Akiki, G.; Jackson, T. L.; Balachandar, S. Journal of Fluid Mechanics, Vol. 813 https://doi.org/10.1017/jfm.2016.877	journal	January 2017
Moderate-Reynolds-number flows in ordered and random arrays of spheres Hill, Reghan J.; Koch, Donald L.; Ladd, Anthony J. C. Journal of Fluid Mechanics, Vol. 448 https://doi.org/10.1017/s0022112001005936	journal	November 2001
The first effects of fluid inertia on flows in ordered and random arrays of spheres Hill, Reghan J.; Koch, Donald L.; Ladd, Anthony J. C. Journal of Fluid Mechanics, Vol. 448 https://doi.org/10.1017/s0022112001005948	journal	November 2001
Shear versus vortex-induced lift force on a rigid sphere at moderate Re Bagchi, P.; Balachandar, S. Journal of Fluid Mechanics, Vol. 473 https://doi.org/10.1017/s0022112002002628	journal	December 2002
Drag and lift forces on a spherical particle moving on a wall in a shear flow at finite Re Lee, Hyungoo; Balachandar, S. Journal of Fluid Mechanics, Vol. 657 https://doi.org/10.1017/s0022112010001382	journal	June 2010
The lift on a small sphere in a slow shear flow Saffman, P. G. Journal of Fluid Mechanics, Vol. 22, Issue 2 https://doi.org/10.1017/s0022112065000824	journal	June 1965
A sphere in shear flow at finite Reynolds number: effect of shear on particle lift, drag, and heat transfer Dandy, David S.; Dwyer, Harry A. Journal of Fluid Mechanics, Vol. 216 https://doi.org/10.1017/s0022112090000477	journal	July 1990
Inertial migration of a small sphere in linear shear flows McLaughlin, John B. Journal of Fluid Mechanics, Vol. 224 https://doi.org/10.1017/s0022112091001751	journal	March 1991
Drag and lift forces on a rotating sphere in a linear shear flow Kurose, Ryoichi; Komori, Satoru Journal of Fluid Mechanics, Vol. 384 https://doi.org/10.1017/s0022112099004164	journal	April 1999
Fluid Mechanical Description of Fluidized Beds. Equations of Motion Anderson, T. B.; Jackson, Roy Industrial & Engineering Chemistry Fundamentals, Vol. 6, Issue 4 https://doi.org/10.1021/i160024a007	journal	November 1967
Effect of free rotation on the motion of a solid sphere in linear shear flow at moderate Re Bagchi, P.; Balachandar, S. Physics of Fluids, Vol. 14, Issue 8 https://doi.org/10.1063/1.1487378	journal	August 2002
Drag and lift forces on microscopic bubbles entrained by a vortex Sridhar, G.; Katz, J. Physics of Fluids, Vol. 7, Issue 2 https://doi.org/10.1063/1.868637	journal	February 1995
Analysis of Classical Statistical Mechanics by Means of Collective Coordinates Percus, Jerome K.; Yevick, George J. Physical Review, Vol. 110, Issue 1 https://doi.org/10.1103/physrev.110.1	journal	April 1958
Force variation within arrays of monodisperse spherical particles Akiki, G.; Jackson, T. L.; Balachandar, S. Physical Review Fluids, Vol. 1, Issue 4 https://doi.org/10.1103/physrevfluids.1.044202	journal	August 2016
Exact Solution of the Percus-Yevick Integral Equation for Hard Spheres Wertheim, M. S. Physical Review Letters, Vol. 10, Issue 8 https://doi.org/10.1103/physrevlett.10.321	journal	April 1963

Similar Records

Pairwise interaction extended point-particle model for a random array of monodisperse spheres

Journal Article · Wed Jan 25 23:00:00 EST 2017 · Journal of Fluid Mechanics · OSTI ID:1534390

Influence of torque on the lift and drag of a particle in an oscillatory flow.

Journal Article · Wed Oct 01 00:00:00 EDT 2008 · J. Fluids Eng. · OSTI ID:939567

Related Subjects

42 ENGINEERING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Computational fluid dynamics
Fluid drag
Fluid flows
Mechanics
Multiphase flows
Physics

Shear-induced lift force on spheres in a viscous linear shear flow at finite volume fractions

Citation Formats

References (28)

Similar Records

Related Subjects