Lagrangian investigation of pseudo-turbulence in multiphase flow using superposable wakes

Moore, W. C.; Balachandar, S.

doi:10.1103/physrevfluids.4.114301

Lagrangian investigation of pseudo-turbulence in multiphase flow using superposable wakes

Journal Article · Wed Nov 06 00:00:00 EST 2019 · Physical Review Fluids

DOI:https://doi.org/10.1103/physrevfluids.4.114301· OSTI ID:1801101

Moore, W. C. ^[1]; ^[2]

Univ. of Florida, Gainesville, FL (United States); OSTI
Univ. of Florida, Gainesville, FL (United States)

This study proposes a method for approximating the fully resolved flow through a monodisperse array of spherical particles using only the locations of the particles and the volume-averaged Reynolds number, both of which are available in Euler-Lagrange (EL) simulations. To achieve this, we first determine a superposable wake (SW) which best captures the behavior of direct numerical simulations (DNS). By adding the SW for all the particles, the pseudo-turbulence caused by the perturbed flow around a distribution of particles in an EL simulation can be approximated. Finally, a Reynolds stress model is then developed for use in an Euler-Lagrange framework. The range of Reynolds numbers and particle volume fractions considered in this study are 0.3 ≤ Re ≤ 173 and 0.11 ≤ Φ ≤ 0.45 accordingly.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0002378

OSTI ID:: 1801101

Journal Information:: Physical Review Fluids, Journal Name: Physical Review Fluids Journal Issue: 11 Vol. 4; ISSN 2469-990X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (36)

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
Random Heterogeneous Materials: Microstructure and Macroscopic Properties Torquato, Salvatore Interdisciplinary Applied Mathematics https://doi.org/10.1007/978-1-4757-6355-3	book	December 2001
A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions: Part 2. Vector-valued isotropic functions, symmetric tensor-valued isotropic functions, and skew-symmetric tensor-valued isotropic functions Wang, C. -C. Archive for Rational Mechanics and Analysis, Vol. 36, Issue 3 https://doi.org/10.1007/BF00272242	journal	January 1970
A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions: Part 1. Scalar-valued isotropic functions Wang, C. -C. Archive for Rational Mechanics and Analysis, Vol. 36, Issue 3 https://doi.org/10.1007/bf00272241	journal	January 1970
Role of pseudo-turbulent stresses in shocked particle clouds and construction of surrogate models for closure Sen, O.; Gaul, N. J.; Davis, S. Shock Waves, Vol. 28, Issue 3 https://doi.org/10.1007/s00193-017-0801-1	journal	February 2018
On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors Smith, G. F. International Journal of Engineering Science, Vol. 9, Issue 10 https://doi.org/10.1016/0020-7225(71)90023-1	journal	October 1971
Particle-generated turbulence in homogeneous dilute dispersed flows Mizukami, M.; Parthasarathy, R. N.; Faeth, G. M. International Journal of Multiphase Flow, Vol. 18, Issue 3 https://doi.org/10.1016/0301-9322(92)90024-B	journal	May 1992
The voidage function for fluid-particle interaction systems Di Felice, R. International Journal of Multiphase Flow, Vol. 20, Issue 1 https://doi.org/10.1016/0301-9322(94)90011-6	journal	February 1994
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
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
Unsteady effects in dense, high speed, particle laden flows Regele, J. D.; Rabinovitch, J.; Colonius, T. International Journal of Multiphase Flow, Vol. 61 https://doi.org/10.1016/j.ijmultiphaseflow.2013.12.007	journal	May 2014
Investigation and quantification of flow unsteadiness in shock-particle cloud interaction Hosseinzadeh-Nik, Zahra; Subramaniam, Shankar; Regele, Jonathan D. International Journal of Multiphase Flow, Vol. 101 https://doi.org/10.1016/j.ijmultiphaseflow.2018.01.011	journal	April 2018
An Euler–Lagrange strategy for simulating particle-laden flows Capecelatro, Jesse; Desjardins, Olivier Journal of Computational Physics, Vol. 238 https://doi.org/10.1016/j.jcp.2012.12.015	journal	April 2013
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
Improving particle drag predictions in Euler–Lagrange simulations with two-way coupling Ireland, Peter J.; Desjardins, Olivier Journal of Computational Physics, Vol. 338 https://doi.org/10.1016/j.jcp.2017.02.070	journal	June 2017
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
Self-induced velocity correction for improved drag estimation in Euler–Lagrange point-particle simulations Balachandar, S.; Liu, Kai; Lakhote, Mandar Journal of Computational Physics, Vol. 376 https://doi.org/10.1016/j.jcp.2018.09.033	journal	January 2019
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
An Introduction to Fluid Dynamics Batchelor, G. K. https://doi.org/10.1017/CBO9780511800955	book	June 2012
Numerical investigation of transitional and weak turbulent flow past a sphere Tomboulides, Ananias G.; Orszag, Steven A. Journal of Fluid Mechanics, Vol. 416 https://doi.org/10.1017/S0022112000008880	journal	August 2000
Inertial and viscous forces on a rigid sphere in straining flows at moderate Reynolds numbers Bagchi, Prosenjit; Balachandar, S. Journal of Fluid Mechanics, Vol. 481 https://doi.org/10.1017/S002211200300380X	journal	April 2003
Sedimentation in a dilute dispersion of spheres Batchelor, G. K. Journal of Fluid Mechanics, Vol. 52, Issue 2 https://doi.org/10.1017/S0022112072001399	journal	March 1972
Turbulence modulation in homogeneous dilute particle-laden flows Parthasarathy, R. N.; Faeth, G. M. Journal of Fluid Mechanics, Vol. 220 https://doi.org/10.1017/S0022112090003354	journal	November 1990
The instability of the steady flow past spheres and disks Natarajan, Ramesh; Acrivos, Andreas Journal of Fluid Mechanics, Vol. 254 https://doi.org/10.1017/S0022112093002150	journal	September 1993
Properties of the mean recirculation region in the wakes of two-dimensional bluff bodies Balachandar, S.; Mittal, R.; Najjar, F. M. Journal of Fluid Mechanics, Vol. 351 https://doi.org/10.1017/S0022112097007179	journal	November 1997
Flow past a sphere up to a Reynolds number of 300 Johnson, T. A.; Patel, V. C. Journal of Fluid Mechanics, Vol. 378 https://doi.org/10.1017/S0022112098003206	journal	January 1999
Pseudo-turbulent gas-phase velocity fluctuations in homogeneous gas–solid flow: fixed particle assemblies and freely evolving suspensions Mehrabadi, M.; Tenneti, S.; Garg, R. Journal of Fluid Mechanics, Vol. 770 https://doi.org/10.1017/jfm.2015.146	journal	March 2015
Pseudo-turbulent heat flux and average gas–phase conduction during gas–solid heat transfer: flow past random fixed particle assemblies Sun, Bo; Tenneti, Sudheer; Subramaniam, Shankar Journal of Fluid Mechanics, Vol. 798 https://doi.org/10.1017/jfm.2016.290	journal	June 2016
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
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
Bifurcations and symmetry breaking in the wake of axisymmetric bodies Fabre, David; Auguste, Franck; Magnaudet, Jacques Physics of Fluids, Vol. 20, Issue 5 https://doi.org/10.1063/1.2909609	journal	May 2008
An Introduction to Fluid Dynamics Temple, G.; Gillis, J. Physics Today, Vol. 12, Issue 4 https://doi.org/10.1063/1.3060769	journal	April 1959
An Introduction to Fluid Dynamics Smith, G. D. Physics Bulletin, Vol. 10, Issue 1 https://doi.org/10.1088/0031-9112/10/1/007	journal	January 1959
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
An Introduction to Fluid Dynamics. Ranger, K. B.; Batchelor, G. K. The American Mathematical Monthly, Vol. 76, Issue 8 https://doi.org/10.2307/2317984	journal	October 1969

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