Dispersion of a cloud of particles by a moving shock: Effects of the shape, angle of rotation, and aspect ratio

S. L. Davis, T. B. Dittmann, G. B. Jacobs, Wai Sun DON

Research output: Contribution to journalJournal articlepeer-review

22 Citations (Scopus)


This paper discusses the particle-laden flow development from a cloud of particles in an accelerated flow behind a normal moving shock. The effects of the aspect ratio of a rectangular and ellipsoidal cloud and the cloud's angle of attack with respect to the carrier flow are studied. Computations are performed with an in-house high-order weighted essentially non-oscillatory (WENO-Z) finite-difference scheme-based Eulerian-Lagrangian solver that solves the conservation equations in the Eulerian frame, while particles are traced in the Lagrangian frame. Streamlined elliptically shaped clouds exhibit a lower dispersion than blunt rectangular clouds. The averaged and root-mean-square locations of the particle coordinates in the cloud show that the cloud's streamwise convection velocity increases with decreasing aspect ratio. With increasing rotation angle, the cross-stream dispersion increases if the aspect ratio is larger than unity. The particle-laden flow development of an initially moderately rotated rectangle is qualitatively and quantitatively comparable to the dispersion of an initially triangular cloud.

Original languageEnglish
Pages (from-to)900-912
Number of pages13
JournalJournal of Applied Mechanics and Technical Physics
Issue number6
Publication statusPublished - 2013

Scopus Subject Areas

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

User-Defined Keywords

  • dispersion of particles
  • high-order finite-difference monotonic scheme
  • shock wave


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