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Modeling compressible multiphase flows with dispersed particles in both dense and dilute regimes

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Abstract

Many important explosives and energetics applications involve multiphase formulations employing dispersed particles. While considerable progress has been made toward developing mathematical models and computational methodologies for these flows, significant challenges remain. In this work, we apply a mathematical model for compressible multiphase flows with dispersed particles to existing shock and explosive dispersal problems from the literature. The model is cast in an Eulerian framework, treats all phases as compressible, is hyperbolic, and satisfies the second law of thermodynamics. It directly applies the continuous-phase pressure gradient as a forcing function for particle acceleration and thereby retains relaxed characteristics for the dispersed particle phase that remove the constituent material sound velocity from the eigenvalues. This is consistent with the expected characteristics of dispersed particle phases and can significantly improve the stable time-step size for explicit methods. The model is applied to test cases involving the shock and explosive dispersal of solid particles and compared to data from the literature. Computed results compare well with experimental measurements, providing confidence in the model and computational methods applied.

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Acknowledgements

This work was supported by the Office of Naval Research under the In-House Laboratory and Independent Research (ILIR) Program and the Naval Undersea Research Program (NURP). The authors wish to thank the ILIR and NURP program management and review boards for their support and guidance of this research. Additionally, this work benefited from the U.S. Department of Energy, National Nuclear Security Administration, Advanced Simulation and Computing Program, as a Cooperative Agreement to the University of Florida under the Predictive Science Academic Alliance Program, under Contract No. DE-NA0002378 and from the Defense Threat Reduction Agency Basic Research Award No. HDTRA1-14-1-0028 to the University of Florida.

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Authors and Affiliations

  1. Indian Head Explosive Ordnance Disposal Technology Division, Naval Surface Warfare Center, 4103 Fowler Rd., Indian Head, MD, 20640, USA

    T. McGrath & J. St. Clair

  2. Department of Mechanical and Aerospace Engineering, University of Florida, 231 MAE-A, P.O. Box 116250, Gainesville, FL, 32611, USA

    S. Balachandar

Authors
  1. T. McGrath
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  2. J. St. Clair
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  3. S. Balachandar
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Correspondence to T. McGrath.

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Communicated by D. Frost.

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McGrath, T., St. Clair, J. & Balachandar, S. Modeling compressible multiphase flows with dispersed particles in both dense and dilute regimes. Shock Waves 28, 533–544 (2018). https://doi.org/10.1007/s00193-017-0726-8

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  • DOI: https://doi.org/10.1007/s00193-017-0726-8

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