skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Numerical investigation of shock interaction with one-dimensional transverse array of particles in air

Abstract

In this work, we present numerical simulations of shock propagation in air over a one-dimensional transverse array of particles. Simulations are carried out by varying the particle spacing and shock Mach number. We compute the unsteady inviscid drag coefficient as a function of time and make relevant comparisons to that for a single particle. We find that deviations in the drag coefficient in time from that of a single particle can be correlated to the acoustic-particle interaction time. Finally, we investigate and classify the interaction of the bow shocks in front of the transverse array of particles.

Authors:
 [1];  [1];  [2];  [1]
  1. Univ. of Florida, Gainesville, FL (United States). Dept. of Mechanical and Aerospace Engineering
  2. Florida Inst. of Technology, Melbourne, FL (United States). Dept. of Mechanical and Aerospace Engineering
Publication Date:
Research Org.:
Univ. of Florida, Gainesville, FL (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); Defense Threat Reduction Agency (DTRA)
OSTI Identifier:
1468533
Alternate Identifier(s):
OSTI ID: 1241422
Grant/Contract Number:  
NA0002378; HDTRA1-14-1-0031; HDTRA1-14-1-0028
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 119; Journal Issue: 10; Journal ID: ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supersonics; wave mechanics; flow dynamics; shock waves; fluid dynamics; fluid drag; chemical elements; Mach reflection; crystal structure; acoustics

Citation Formats

Mehta, Y., Jackson, T. L., Zhang, J., and Balachandar, S. Numerical investigation of shock interaction with one-dimensional transverse array of particles in air. United States: N. p., 2016. Web. doi:10.1063/1.4943616.
Mehta, Y., Jackson, T. L., Zhang, J., & Balachandar, S. Numerical investigation of shock interaction with one-dimensional transverse array of particles in air. United States. doi:10.1063/1.4943616.
Mehta, Y., Jackson, T. L., Zhang, J., and Balachandar, S. Fri . "Numerical investigation of shock interaction with one-dimensional transverse array of particles in air". United States. doi:10.1063/1.4943616. https://www.osti.gov/servlets/purl/1468533.
@article{osti_1468533,
title = {Numerical investigation of shock interaction with one-dimensional transverse array of particles in air},
author = {Mehta, Y. and Jackson, T. L. and Zhang, J. and Balachandar, S.},
abstractNote = {In this work, we present numerical simulations of shock propagation in air over a one-dimensional transverse array of particles. Simulations are carried out by varying the particle spacing and shock Mach number. We compute the unsteady inviscid drag coefficient as a function of time and make relevant comparisons to that for a single particle. We find that deviations in the drag coefficient in time from that of a single particle can be correlated to the acoustic-particle interaction time. Finally, we investigate and classify the interaction of the bow shocks in front of the transverse array of particles.},
doi = {10.1063/1.4943616},
journal = {Journal of Applied Physics},
number = 10,
volume = 119,
place = {United States},
year = {2016},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

A multiphase shock tube for shock wave interactions with dense particle fields
journal, February 2012

  • Wagner, Justin L.; Beresh, Steven J.; Kearney, Sean P.
  • Experiments in Fluids, Vol. 52, Issue 6
  • DOI: 10.1007/s00348-012-1272-x

A Simple Mesh Generator in MATLAB
journal, January 2004


Collective Bow Shock Ahead of a Transverse System of Spheres in a Supersonic Flow Behind a Moving Shock Wave
journal, March 2004


Compressibility and Rarefaction Effects on Drag of a Spherical Particle
journal, September 2008


Shock wave interaction with a cloud of particles
journal, October 1997


The fluid dynamics and thermodynamics of eruption columns
journal, June 1988


An interface capturing method for the simulation of multi-phase compressible flows
journal, September 2010

  • Shukla, Ratnesh K.; Pantano, Carlos; Freund, Jonathan B.
  • Journal of Computational Physics, Vol. 229, Issue 19
  • DOI: 10.1016/j.jcp.2010.06.025

Shock interaction with a deformable particle: Direct numerical simulation and point-particle modeling
journal, January 2013

  • Ling, Y.; Haselbacher, A.; Balachandar, S.
  • Journal of Applied Physics, Vol. 113, Issue 1
  • DOI: 10.1063/1.4772744

TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
journal, February 2015

  • Si, Hang
  • ACM Transactions on Mathematical Software, Vol. 41, Issue 2
  • DOI: 10.1145/2629697

Modeling of the unsteady force for shock–particle interaction
journal, May 2009


Shock-wave shapes around spherical-and cylindrical-nosed bodies.
journal, June 1967

  • Billig, Frederick S.
  • Journal of Spacecraft and Rockets, Vol. 4, Issue 6
  • DOI: 10.2514/3.28969

Interaction of a shock with a sphere suspended in a vertical shock tube
journal, November 2003


Open-Ended Shock Tube Flows: Influence of Pressure Ratio and Diaphragm Position
journal, August 2007

  • Haselbacher, A.; Balachandar, S.; Kieffer, S. W.
  • AIAA Journal, Vol. 45, Issue 8
  • DOI: 10.2514/1.23081

The interaction between shock waves and solid spheres arrays in a shock tube
journal, June 2004

  • Honghui, Shi; Yamamura, Kazuki
  • Acta Mechanica Sinica, Vol. 20, Issue 3
  • DOI: 10.1007/BF02486714

Shock Tube Study of the Drag Coefficient of a Sphere in a Non-Stationary Flow
journal, August 1993

  • Igra, O.; Takayama, K.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 442, Issue 1915
  • DOI: 10.1098/rspa.1993.0102

Motion of a particle behind the shock wave front
journal, March 2010

  • Fedorov, A. V.; Shul’gin, A. V.; Poplavski, S. V.
  • Combustion, Explosion, and Shock Waves, Vol. 46, Issue 2
  • DOI: 10.1007/s10573-010-0031-7

Numerical modelling of the entrainment of particles in inviscid supersonic flow
journal, April 2011


Unsteady force measurement technique in shock tubes
journal, February 2004

  • Tanno, H.; Komuro, T.; Takahashi, M.
  • Review of Scientific Instruments, Vol. 75, Issue 2
  • DOI: 10.1063/1.1641156

Proximal bodies in hypersonic flow
journal, October 2007


Shock Interaction of Metal Particles in Condensed Explosive Detonation
conference, January 2006

  • Ripley, Robert C.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2005: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings
  • DOI: 10.1063/1.2263369

Importance of unsteady contributions to force and heating for particles in compressible flows
journal, November 2011


Shock interaction with one-dimensional array of particles in air
journal, February 2015

  • Sridharan, P.; Jackson, T. L.; Zhang, J.
  • Journal of Applied Physics, Vol. 117, Issue 7
  • DOI: 10.1063/1.4913217

A Sequel to AUSM: AUSM+
journal, December 1996


Unsteady drag on a sphere by shock wave loading
journal, June 2005


Acceleration of a sphere behind planar shock waves
journal, December 1995

  • Britan, A.; Elperin, T.; Igra, O.
  • Experiments in Fluids, Vol. 20, Issue 2
  • DOI: 10.1007/BF01061585

Shock tube investigation of quasi-steady drag in shock-particle interactions
journal, December 2012

  • Wagner, Justin L.; Beresh, Steven J.; Kearney, Sean P.
  • Physics of Fluids, Vol. 24, Issue 12
  • DOI: 10.1063/1.4768816

A meteorite crater on Earth formed on September 15, 2007: The Carancas hypervelocity impact
journal, December 2009


Interaction of a planar shock wave with a dense particle curtain: Modeling and experiments
journal, November 2012

  • Ling, Y.; Wagner, J. L.; Beresh, S. J.
  • Physics of Fluids, Vol. 24, Issue 11
  • DOI: 10.1063/1.4768815

Equation of motion for a sphere in non-uniform compressible flows
journal, April 2012

  • Parmar, M.; Haselbacher, A.; Balachandar, S.
  • Journal of Fluid Mechanics, Vol. 699
  • DOI: 10.1017/jfm.2012.109

Unsteady effects in dense, high speed, particle laden flows
journal, May 2014