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Shock propagation in regular wetted arrays of fibers

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Abstract

We present results of shock propagation in a wetted foam modeled as a regular staggered row lattice of parallel cylinders in two-dimensions immersed in a background of different density. Both media are perfect mono-atomic gases. We show that shock velocity increases due to the heterogeneity of wetted foams in comparison to the velocity of shock in a homogeneous medium with the same average density. The post-shock medium is characterized by turbulence and multiple vortices. Destructive or constructive interactions between vortices appear in the downstream fluid depending on the fiber alignment. We show that the shock velocity increase is related to the kinetic energy stored in the downstream fluid in the turbulence and the vortices. A turbulent model is used to analytically relate the turbulent kinetic energy to the shock velocity increase.

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Acknowledgments

B. Canaud would like to thank C. Cornet for fruitful discussion.

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Authors and Affiliations

  1. CMLA, ENS, 61 Avenue du president wilson, 94235 , Cachan, France

    D. Elbaz & F. Dias

  2. CEA, DAM, DIF, 91297 , Arpajon, France

    B. Canaud & P. Ballereau

  3. University College Dublin, Dublin, Ireland

    F. Dias

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  1. D. Elbaz
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  2. B. Canaud
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  3. P. Ballereau
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  4. F. Dias
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Correspondence to B. Canaud.

Additional information

Communicated by A. Hadjadj.

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Elbaz, D., Canaud, B., Ballereau, P. et al. Shock propagation in regular wetted arrays of fibers. Shock Waves 23, 81–89 (2013). https://doi.org/10.1007/s00193-012-0424-5

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  • DOI: https://doi.org/10.1007/s00193-012-0424-5

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