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Simulation and scaling analysis of a spherical particle-laden blast wave

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Abstract

A spherical particle-laden blast wave, generated by a sudden release of a sphere of compressed gas–particle mixture, is investigated by numerical simulation. The present problem is a multiphase extension of the classic finite-source spherical blast-wave problem. The gas–particle flow can be fully determined by the initial radius of the spherical mixture and the properties of gas and particles. In many applications, the key dimensionless parameters, such as the initial pressure and density ratios between the compressed gas and the ambient air, can vary over a wide range. Parametric studies are thus performed to investigate the effects of these parameters on the characteristic time and spatial scales of the particle-laden blast wave, such as the maximum radius the contact discontinuity can reach and the time when the particle front crosses the contact discontinuity. A scaling analysis is conducted to establish a scaling relation between the characteristic scales and the controlling parameters. A length scale that incorporates the initial pressure ratio is proposed, which is able to approximately collapse the simulation results for the gas flow for a wide range of initial pressure ratios. This indicates that an approximate similarity solution for a spherical blast wave exists, which is independent of the initial pressure ratio. The approximate scaling is also valid for the particle front if the particles are small and closely follow the surrounding gas.

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Acknowledgements

This work was supported by the US Department of Energy, National Nuclear Security Administration, Advanced Simulation and Computing Program, as a Cooperative Agreement under the Predictive Science Academic Alliance Program, under Contract No. DE-NA0002378. The authors would also acknowledge the support from the High Performance and Research Computing Services at Baylor University.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Baylor University, Waco, TX, 76798, USA

    Y. Ling

  2. Department of Mechanical and Aerospace Engineering, University of Florida, Gainesville, FL, 32611, USA

    S. Balachandar

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  1. Y. Ling
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Correspondence to Y. Ling.

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Communicated by D. Frost and A. Higgins.

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Ling, Y., Balachandar, S. Simulation and scaling analysis of a spherical particle-laden blast wave. Shock Waves 28, 545–558 (2018). https://doi.org/10.1007/s00193-017-0799-4

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