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Influence of baroclinic vorticity production on unsteady drag coefficient in shock–particle interaction

Journal Article · · Journal of Applied Physics
DOI:https://doi.org/10.1063/1.5055002· OSTI ID:1614518
 [1];  [2];  [2]
  1. Univ. of Florida, Gainesville, FL (United States); DOE/OSTI
  2. Univ. of Florida, Gainesville, FL (United States)

The influence of baroclinic vorticity production on the unsteady drag coefficient in shock–particle interaction is numerically studied in this work. Numerical simulations are performed for shock–particle interaction utilizing a high–resolution axisymmetric solver for the Euler equations that allows for multi-material interface and shock propagation in both the particle and surrounding medium. We consider an aluminum particle in nitromethane and allow for particle deformation. We compute the vorticity production and unsteady drag coefficient as a function of time to explain the complex physical mechanisms that occur during shock–particle interaction. We observe baroclinic vorticity production as the shock propagates over the particle and find that the vorticity is primarily generated at the surface of the particle. After the passage of the shock over the particle, the generated vortex traverses downstream, thus creating a sharpened particle edge and low pressure on the downstream side of the particle, followed by the trapping of the vortex at the particle edge. These mechanisms lead to the generation of a quasi-steady drag force even after the passage of the shock, thus suggesting the importance of baroclinic vorticity production to the unsteady drag coefficient. Finally, we compute the unsteady drag coefficient for various shock Mach numbers and particle ellipticities.

Research Organization:
Univ. of Florida, Gainesville, FL (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); Defense Threat Reduction Agency (DTRA)
Grant/Contract Number:
NA0002378
OSTI ID:
1614518
Journal Information:
Journal of Applied Physics, Journal Name: Journal of Applied Physics Journal Issue: 8 Vol. 125; ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (35)

A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows journal April 1999
Restoration of the contact surface in the HLL-Riemann solver journal July 1994
Explosive dispersal of solid particles journal January 2001
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
The effect of an unsteady drag force on the structure of a non-equilibrium region behind a shock wave in a gas-particle mixture journal October 2007
Modeling of the unsteady force for shock–particle interaction journal May 2009
Numerical simulations of the early stages of high-speed droplet breakup journal December 2014
Drag of nonspherical particles in a flow behind a shock wave journal January 2005
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II journal July 1989
Importance of unsteady contributions to force and heating for particles in compressible flows journal November 2011
Strategies for efficient machine learning of surrogate drag models from three-dimensional mesoscale computations of shocked particulate flows journal November 2018
An exact Riemann solver for compressible two-phase flow models containing non-conservative products journal March 2007
A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks journal March 2009
An interface capturing method for the simulation of multi-phase compressible flows journal September 2010
Vorticity generation by shock propagation through bubbles in a gas journal April 1988
Circulation deposition on shock-accelerated planar and curved density-stratified interfaces: models and scaling laws journal June 1994
The regular reflection→Mach reflection transition in unsteady flow over convex surfaces journal December 2017
Propagation of a strong shock over a random bed of spherical particles journal January 2018
Numerical simulation of collapsing volcanic columns with particles of two sizes journal April 1996
Particle momentum effects from the detonation of heterogeneous explosives journal June 2007
Interaction of a planar shock wave with a dense particle curtain: Modeling and experiments journal November 2012
Shock interaction with a deformable particle: Direct numerical simulation and point-particle modeling journal January 2013
Shock interaction with one-dimensional array of particles in air journal February 2015
Shock interaction with deformable particles using a constrained interface reinitialization scheme journal February 2016
Shock Tube Study of the Drag Coefficient of a Sphere in a Non-Stationary Flow journal August 1993
Shock interaction with solid particles in condensed matter and related momentum transfer
  • Zhang, Fan; Thibault, Paul A.; Link, Rick
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 459, Issue 2031 https://doi.org/10.1098/rspa.2002.1045
journal March 2003
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
Studies on shock interactions with moving cylinders using immersed boundary method journal June 2017
Aerobreakup in Rarefied Supersonic Gas Flows journal July 2004
Dispersion of a cloud of particles by a moving shock: Effects of the shape, angle of rotation, and aspect ratio journal November 2013
A Simple Method for Compressible Multifluid Flows journal January 1999
Shock-Bubble Interactions journal January 2011
Investigation of Aerodynamic Breakup of a Cylindrical Water Droplet journal January 2001
Two-Dimensional Simulation of Stripping Breakup of a Water Droplet journal May 2008

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