## Abstract

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 language | English |
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Pages (from-to) | 900-912 |

Number of pages | 13 |

Journal | Journal of Applied Mechanics and Technical Physics |

Volume | 54 |

Issue number | 6 |

DOIs | |

Publication status | Published - 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