Modeling of shock-induced force on an isolated particle in water and air

Behrendt, Jacob; Balachandar, S.; Garno, Joshua; McGrath, Thomas P.

doi:10.1063/5.0067801

Title: Modeling of shock-induced force on an isolated particle in water and air

Journal Article · 17 January 2022 · Physics of Fluids

DOI: https://doi.org/10.1063/5.0067801 · OSTI ID:1978964

^[1];

^[2];

^[3]

University of Florida, Gainesville, FL (United States); Univ. of Florida, Gainesville, FL (United States)
University of Florida, Gainesville, FL (United States)
Naval Surface Warfare Center, Indian Head, MD (United States)

The prediction of force on an isolated particle, while a shock is passing over it, is an important problem in many natural and industrial applications. Although the flow monotonically changes from the pre-shock to the post-shock state, the particle's force has been observed to behave nonmonotonically with a sharp peak when the shock is located halfway across the particle. This nonmonotonic behavior is due to the unsteady nature of the compression and rarefaction waves that radiate as the shock diffracts around the particle and, therefore, cannot be predicted by a quasi-steady model. An accurate force model must account for the unsteady nature of the flow and the sharp discontinues in the flow properties across the shock. In this work, we test four different inviscid models and observe that the compressible Maxey–Riley–Gatignol (C-MRG) model is the most accurate based on comparison with results from particle-resolved inviscid simulations at two different Mach numbers for both water and air as the medium. The C-MRG model is first demonstrated to predict the force on a stationary particle accurately and then extended to capture the force on a moving particle. Numerical complexities regarding the implementation of the C-MRG model are also discussed.

View Accepted Manuscript (DOE)

Cite

Export

Save

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

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

Grant/Contract Number:: NA0002378

OSTI ID:: 1978964

Journal Information:: Physics of Fluids, Journal Name: Physics of Fluids Journal Issue: 1 Vol. 34; ISSN 1070-6631

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

Country of Publication:: United States

Language:: English

References (44)

A Sequel to AUSM: AUSM+ Liou, Meng-Sing Journal of Computational Physics, Vol. 129, Issue 2 https://doi.org/10.1006/jcph.1996.0256	journal	December 1996
Acceleration of a sphere behind planar shock waves Britan, A.; Elperin, T.; Igra, O. Experiments in Fluids, Vol. 20, Issue 2 https://doi.org/10.1007/BF01061585	journal	December 1995
The fluid dynamics and thermodynamics of eruption columns Woods, A. W. Bulletin of Volcanology, Vol. 50, Issue 3 https://doi.org/10.1007/BF01079681	journal	June 1988
Interaction of a shock with a sphere suspended in a vertical shock tube Tanno, H.; Itoh, K.; Saito, T. Shock Waves, Vol. 13, Issue 3 https://doi.org/10.1007/s00193-003-0209-y	journal	November 2003
Unsteady drag on a sphere by shock wave loading Sun, M.; Saito, T.; Takayama, K. Shock Waves, Vol. 14, Issue 1-2 https://doi.org/10.1007/s00193-004-0235-4	journal	June 2005
The effect of an unsteady drag force on the structure of a non-equilibrium region behind a shock wave in a gas-particle mixture Saito, T.; Saba, M.; Sun, M. Shock Waves, Vol. 17, Issue 4 https://doi.org/10.1007/s00193-007-0109-7	journal	October 2007
Transient phenomena in one-dimensional compressible gas–particle flows Ling, Y.; Haselbacher, A.; Balachandar, S. Shock Waves, Vol. 19, Issue 1 https://doi.org/10.1007/s00193-009-0190-1	journal	February 2009
Modeling of the unsteady force for shock–particle interaction Parmar, M.; Haselbacher, A.; Balachandar, S. Shock Waves, Vol. 19, Issue 4 https://doi.org/10.1007/s00193-009-0206-x	journal	May 2009
Numerical analysis of gas and micro-particle interactions in a hand-held shock-tube device Liu, Y.; Kendall, M. A. F. Biomedical Microdevices, Vol. 8, Issue 4 https://doi.org/10.1007/s10544-006-9596-z	journal	August 2006
Motion of a particle behind the shock wave front Fedorov, A. V.; Shul’gin, A. V.; Poplavski, S. V. Combustion, Explosion, and Shock Waves, Vol. 46, Issue 2 https://doi.org/10.1007/s10573-010-0031-7	journal	March 2010
Quasi-steady shape and drag of deformable bubbles and drops Loth, E. International Journal of Multiphase Flow, Vol. 34, Issue 6 https://doi.org/10.1016/j.ijmultiphaseflow.2007.08.010	journal	June 2008
Importance of unsteady contributions to force and heating for particles in compressible flows Ling, Y.; Haselbacher, A.; Balachandar, S. International Journal of Multiphase Flow, Vol. 37, Issue 9 https://doi.org/10.1016/j.ijmultiphaseflow.2011.07.001	journal	November 2011
Importance of unsteady contributions to force and heating for particles in compressible flows. Part 2: Application to particle dispersal by blast waves Ling, Y.; Haselbacher, A.; Balachandar, S. International Journal of Multiphase Flow, Vol. 37, Issue 9 https://doi.org/10.1016/j.ijmultiphaseflow.2011.07.002	journal	November 2011
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
Strategies for efficient machine learning of surrogate drag models from three-dimensional mesoscale computations of shocked particulate flows Das, Pratik; Sen, Oishik; Choi, K. K. International Journal of Multiphase Flow, Vol. 108 https://doi.org/10.1016/j.ijmultiphaseflow.2018.06.013	journal	November 2018
Computational analysis of shock-induced flow through stationary particle clouds Osnes, Andreas Nygård; Vartdal, Magnus; Omang, Marianne Gjestvold International Journal of Multiphase Flow, Vol. 114 https://doi.org/10.1016/j.ijmultiphaseflow.2019.03.010	journal	May 2019
An immersed boundary method with direct forcing for the simulation of particulate flows Uhlmann, Markus Journal of Computational Physics, Vol. 209, Issue 2 https://doi.org/10.1016/j.jcp.2005.03.017	journal	November 2005
Accurate calculation of Stokes drag for point–particle tracking in two-way coupled flows Horwitz, J. A. K.; Mani, A. Journal of Computational Physics, Vol. 318 https://doi.org/10.1016/j.jcp.2016.04.034	journal	August 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
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
Equation of motion for a sphere in non-uniform compressible flows Parmar, M.; Haselbacher, A.; Balachandar, S. Journal of Fluid Mechanics, Vol. 699 https://doi.org/10.1017/jfm.2012.109	journal	April 2012
Faxén form of time-domain force on a sphere in unsteady spatially varying viscous compressible flows Annamalai, Subramanian; Balachandar, S. Journal of Fluid Mechanics, Vol. 816 https://doi.org/10.1017/jfm.2017.77	journal	March 2017
Propagation of a strong shock over a random bed of spherical particles Mehta, Y.; Neal, C.; Salari, K. Journal of Fluid Mechanics, Vol. 839 https://doi.org/10.1017/jfm.2017.909	journal	January 2018
Unsteady force measurement technique in shock tubes Tanno, H.; Komuro, T.; Takahashi, M. Review of Scientific Instruments, Vol. 75, Issue 2 https://doi.org/10.1063/1.1641156	journal	February 2004
Interaction of a planar shock wave with a dense particle curtain: Modeling and experiments Ling, Y.; Wagner, J. L.; Beresh, S. J. Physics of Fluids, Vol. 24, Issue 11 https://doi.org/10.1063/1.4768815	journal	November 2012
Shock tube investigation of quasi-steady drag in shock-particle interactions Wagner, Justin L.; Beresh, Steven J.; Kearney, Sean P. Physics of Fluids, Vol. 24, Issue 12 https://doi.org/10.1063/1.4768816	journal	December 2012
Shock interaction with a deformable particle: Direct numerical simulation and point-particle modeling Ling, Y.; Haselbacher, A.; Balachandar, S. Journal of Applied Physics, Vol. 113, Issue 1 https://doi.org/10.1063/1.4772744	journal	January 2013
Numerical investigation of shock interaction with one-dimensional transverse array of particles in air Mehta, Y.; Jackson, T. L.; Zhang, J. Journal of Applied Physics, Vol. 119, Issue 10 https://doi.org/10.1063/1.4943616	journal	March 2016
Equation of motion for a small rigid sphere in a nonuniform flow Maxey, Martin R. Physics of Fluids, Vol. 26, Issue 4 https://doi.org/10.1063/1.864230	journal	January 1983
The Unsteady, Subsonic Motion of a Sphere in a Compressible Inviscid Fluid Longhorn, A. L. The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 5, Issue 1 https://doi.org/10.1093/qjmam/5.1.64	journal	January 1952
The Forces on a Body Placed in a Curved or Converging Stream of Fluid Taylor, G. I. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 120, Issue 785 https://doi.org/10.1098/rspa.1928.0148	journal	September 1928
Shock Tube Study of the Drag Coefficient of a Sphere in a Non-Stationary Flow Igra, O.; Takayama, K. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 442, Issue 1915 https://doi.org/10.1098/rspa.1993.0102	journal	August 1993
On the unsteady inviscid force on cylinders and spheres in subcritical compressible flow Parmar, M.; Haselbacher, A.; Balachandar, S. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1873 https://doi.org/10.1098/rsta.2008.0027	journal	March 2008
Shock interaction with three-dimensional face centered cubic array of particles Mehta, Y.; Neal, C.; Jackson, T. L. Physical Review Fluids, Vol. 1, Issue 5 https://doi.org/10.1103/PhysRevFluids.1.054202	journal	September 2016
Effect of Mach number and volume fraction in air-shock interacting with a bed of randomly distributed spherical particles Mehta, Y.; Salari, K.; Jackson, T. L. Physical Review Fluids, Vol. 4, Issue 1 https://doi.org/10.1103/PhysRevFluids.4.014303	journal	January 2019
Particle-resolved simulations of shock-induced flow through particle clouds at different Reynolds numbers Osnes, Andreas Nygård; Vartdal, Magnus; Omang, Marianne Gjestvold Physical Review Fluids, Vol. 5, Issue 1 https://doi.org/10.1103/PhysRevFluids.5.014305	journal	January 2020
Generalized Basset-Boussinesq-Oseen Equation for Unsteady Forces on a Sphere in a Compressible Flow Parmar, M.; Haselbacher, A.; Balachandar, S. Physical Review Letters, Vol. 106, Issue 8 https://doi.org/10.1103/PhysRevLett.106.084501	journal	February 2011
An Assessment of the Drag Models in the Case of a Shock Interacting With a Fixed Bed of Point Particles Koneru, Rahul Babu; Balachandar, S. Journal of Fluids Engineering, Vol. 143, Issue 1 https://doi.org/10.1115/1.4048130	journal	October 2020
A Simple Mesh Generator in MATLAB Persson, Per-Olof; Strang, Gilbert SIAM Review, Vol. 46, Issue 2 https://doi.org/10.1137/S0036144503429121	journal	January 2004
TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator Si, Hang ACM Transactions on Mathematical Software, Vol. 41, Issue 2 https://doi.org/10.1145/2629697	journal	February 2015
Compressibility and Rarefaction Effects on Drag of a Spherical Particle Loth, E. AIAA Journal, Vol. 46, Issue 9 https://doi.org/10.2514/1.28943	journal	September 2008
Improved Drag Correlation for Spheres and Application to Shock-Tube Experiments Parmar, M.; Haselbacher, A.; Balachandar, S. AIAA Journal, Vol. 48, Issue 6 https://doi.org/10.2514/1.J050161	journal	June 2010
Drag Coefficients of Spheres in Continuum and Rarefied Flows Henderson, Charles B. AIAA Journal, Vol. 14, Issue 6 https://doi.org/10.2514/3.61409	journal	June 1976
A WENO Reconstruction Algorithim for Unstructured Grids Based on Explicit Stencil Construction Haselbacher, Andreas 43rd AIAA Aerospace Sciences Meeting and Exhibit https://doi.org/10.2514/6.2005-879	conference	June 2012

Similar Records

Shock and contact interaction with a simple cubic array of particles

Journal Article · 2023 · Physics of Fluids · OSTI ID:2578430

Briney, Sam; Mehta, Y.; Osborne, B.; +2 more

Compressible pairwise interaction extended point-particle model for force prediction of shock-particle bed interaction

Journal Article · 2023 · Physical Review Fluids (Online) · OSTI ID:1975665

Hsiao, Smyther S.; Salari, Kambiz; Balachandar, S.

An Assessment of the Drag Models in the Case of a Shock Interacting With a Fixed Bed of Point Particles

Journal Article · 2020 · Journal of Fluids Engineering · OSTI ID:1850329

Koneru, Rahul Babu; Balachandar, S.

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
fluid drag
fluid mechanics
ideal gas
multiphase flows
shock waves
supersonic flows

Title: Modeling of shock-induced force on an isolated particle in water and air

Citation Formats

References (44)

Similar Records

Related Subjects