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Shock Propagation in Polydisperse Bubbly Liquids

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Bubble Dynamics and Shock Waves

Part of the book series: Shock Wave Science and Technology Reference Library ((SHOCKWAVES,volume 8))

Abstract

We investigate the shock dynamics of liquid flows containing small gas bubbles with numerical simulations based on a continuum bubbly flow model. Particular attention is devoted to the effects of distributed bubble sizes and gas-phase nonlinearity on shock dynamics. Ensemble-averaged conservation laws for polydisperse bubbly flows are closed with a Rayleigh–Plesset-type model for single bubble dynamics. Numerical simulations of one-dimensional shock propagation reveal that phase cancellations in the oscillations of different-sized bubbles can lead to an apparent damping of the averaged shock dynamics. Experimentally, we study the propagation of waves in a deformable tube filled with a bubbly liquid. The model is extended to quasi-one-dimensional cases. This leads to steady shock relations that account for the compressibility associated with tube deformation, bubbles and host liquid. A comparison between the theory and the water-hammer experiments suggests that the gas-phase nonlinearity plays an essential role in the propagation of shocks.

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Authors and Affiliations

  1. Keio University, Tokyo, Japan

    Keita Ando

  2. California Institute of Technology, Pasadena, USA

    Tim Colonius & Christopher E. Brennen

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  1. Keita Ando
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  2. Tim Colonius
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  3. Christopher E. Brennen
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Correspondence to Keita Ando .

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  1. , Department of Mechanical Engineering, Isik University, Mesrutiyet Koyu, Universite Sokak 2, Sile, 34980, Turkey

    Can F. Delale

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Ando, K., Colonius, T., Brennen, C.E. (2013). Shock Propagation in Polydisperse Bubbly Liquids. In: Delale, C. (eds) Bubble Dynamics and Shock Waves. Shock Wave Science and Technology Reference Library, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34297-4_5

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