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

Y. Mehta1, K. Salari2, T. L. Jackson1, and S. Balachandar1

  • 1Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, Florida 32611, USA
  • 2Lawrence Livermore National Laboratory, Livermore, California 94550, USA

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Phys. Rev. Fluids 4, 014303 – Published 15 January, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.014303

Abstract

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.

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Outline

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Phys. Rev. Fluids 4, 014303– Published 15 January, 2019
  • Received 14 August 2018
Article part of CHORUS
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