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Effect of Mach number and volume fraction in air-shock interacting with a bed of randomly distributed spherical particles

Journal Article · · Physical Review Fluids
 [1];  [2];  [1];  [1]
  1. Univ. of Florida, Gainesville, FL (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Shock-particle interaction is a fundamental problem in many engineering applications, with the dynamics being heavily influenced by the incident-shock Mach number and the particle volume fraction. In this paper we present fully resolved inviscid simulations of an incident-shock wave traveling through a bed of randomly distributed spherical particles. We vary the strength of the incident shock along with the particle volume fraction in order to study the complex wave interaction during shock-particle interaction. In this study we are interested in the early-time behavior during which the particles do not move and hence in our simulations all the particles are fixed in space. We compute the streamwise average of flow field quantities to generate the x - t contour plots to study the unsteady oscillations inside the particle bed. We observe that the transmitted shock slows down under certain conditions and it is partly due to tortuosity and partly due to weakening caused by energy dissipation. We also present the force histories of the streamwise drag and lift forces for all the particles. The random distribution of particles leads to high variability in the drag force experienced by the particles. We compute the mean peak drag force as a function of the streamwise location to study the mean behavior of the transmitted shock. Based on our findings, we propose simple modifications to improve the current point-particle models used in Euler-Lagrange simulations of shock interacting with a bed of particles.
Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344; NA0002378
OSTI ID:
1836935
Alternate ID(s):
OSTI ID: 1490920
Report Number(s):
LLNL-JRNL--751463; 935050
Journal Information:
Physical Review Fluids, Journal Name: Physical Review Fluids Journal Issue: 1 Vol. 4; ISSN 2469-990X
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (26)

Acceleration of a sphere behind planar shock waves journal December 1995
Interaction of a shock with a sphere suspended in a vertical shock tube journal November 2003
Unsteady drag on a sphere by shock wave loading journal June 2005
Effect of Compressible Foam Properties on Pressure Amplification During Shock Wave Impact journal June 2006
The effect of porosity on shock interaction with a rigid, porous barrier journal March 2007
Modeling of the unsteady force for shock–particle interaction journal May 2009
Blast wave mitigation by dry aqueous foams journal August 2012
Fluid/Structure Interaction Computational Investigation of Blast-Wave Mitigation Efficacy of the Advanced Combat Helmet journal August 2010
Head-on interaction of planar shock waves with ideal rigid open-cell porous materials. Analytical model journal September 1995
A physical description of coal mine explosions. Part II journal January 1979
Numerical simulation of a novel blast wave mitigation device journal May 2008
Unsteady effects in dense, high speed, particle laden flows journal May 2014
Investigation and quantification of flow unsteadiness in shock-particle cloud interaction journal April 2018
Equation of motion for a sphere in non-uniform compressible flows journal April 2012
Faxén form of time-domain force on a sphere in unsteady spatially varying viscous compressible flows journal March 2017
Propagation of a strong shock over a random bed of spherical particles journal January 2018
Unsteady force measurement technique in shock tubes journal February 2004
VORO++ : A three-dimensional Voronoi cell library in C++ journal December 2009
Numerical simulation of fluid flow through random packs of cylinders using immersed boundary method journal April 2014
Shock interaction with one-dimensional array of particles in air journal February 2015
Numerical investigation of shock interaction with one-dimensional transverse array of particles in air journal March 2016
Turbulence and Magnetic Field Amplification in Supernova Remnants: Interactions Between a Strong Shock wave and Multiphase Interstellar Medium journal April 2009
Shock Tube Study of the Drag Coefficient of a Sphere in a Non-Stationary Flow journal August 1993
Shock interaction with three-dimensional face centered cubic array of particles journal September 2016
Generalized Basset-Boussinesq-Oseen Equation for Unsteady Forces on a Sphere in a Compressible Flow journal February 2011
A semi-implicit, second-order-accurate numerical model for multiphase underexpanded volcanic jets journal January 2013

Cited By (2)

Pseudo-turbulence in inviscid simulations of shock interacting with a bed of randomly distributed particles journal June 2019
Particle-resolved simulations of shock-induced flow through particle clouds at different Reynolds numbers journal January 2020

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