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Direct Numerical Simulation of Shock Propagation in 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

The presence ofmany compressible bubbles in a liquidmakes the mixture compressible, even when the compressibility of the liquid can be neglected. In classical models of such a compressible mixture a relation between the bubble volume (i.e. the density of the mixture) and the local pressure is usually obtained by solving a Rayleigh-Plesset equation for a single bubble in unbounded quiescent flow. Here we discuss the use of Direct Numerical Simulations (DNS), where every continuum length and time scale are fully resolved, to understand the effect of bubble-flow and bubble-bubble interactions. DNS of multiphase flows have progressed significantly in the last two decades and it is now possible to follow reliably the motion of large number of bubbles for a long time. We examine the state of the art in simulations of bubbly flows in general and outline one specific numerical approach. Results for both the collapse of a single cavitation bubble and the impact of flow on the collapse are reviewed and results for simulations of shock propagation in a domain containing several bubbles are then presented. We conclude by discussing possible future studies and the outlook for DNS of cavitating flows.

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Authors and Affiliations

  1. University of Notre Dame, Notre Dame, IN, USA, 46556

    Gretar Tryggvason & Sadegh Dabiri

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  1. Gretar Tryggvason
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  2. Sadegh Dabiri
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Correspondence to Gretar Tryggvason .

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Editors and Affiliations

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

    Can F. Delale

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Tryggvason, G., Dabiri, S. (2013). Direct Numerical Simulation of Shock Propagation in 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_6

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