IUTAM Symposium on Turbulent Mixing and Combustion
2002, Fluid Mechanics and Its Applications
https://doi.org/10.1007/978-94-017-1998-8…
22 pages
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Abstract
The purpose of this series is to focus on subjects in which fluid mechanics plays a fundamental role. As well as the more traditional applications of aeronautics, hydraulics, heat and mass transfer etc., books will be published dealing with topics which are currently in a state of rapid development, such as turbulence, suspensions and multi phase fluids, super and hypersonic flows and numerical modelling techniques.
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The asymptotic self-similar evolution of the bubble front of the RT and RM instabilities for immiscible fluids is evaluated in 2D and 3D, using solutions to a new formulation of Haan's [1] and Ofer-Shvarts [2] modecoupling models. In the RT case the model result, using the nominal values for Haan's saturation level, is α RT ∼0.04 in 2D, consistent with 2D numerical simulations, and ∼0.05 in 3D, consistent with the LEM experiments [3] but a factor of ∼2 higher than the results of 3D numerical simulations [4]. In the RM case it is shown that the power law exponent is 2/5 in 2D, consistent with the Alon-Shvarts prediction and 2D numerical simulations [5], and 1/3 in 3D, higher than the value of ∼0.25±0.05, obtained in the LEM experiments [3], in 3D numerical simulations [6] and proposed 3D models [7]. The reasons for that large spread in the self-similar parameters and an attempt to put them together in a unified framework will be presented. Newly proposed experiments on NIF, using very long laser pulses, in order to confirm the proposed new framework will be described.

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References (7)
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