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    On the role of thermal fluctuations in Rayleigh–Taylor mixing

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    RTI-Narayanan-Samtaney-2019-v2.pdf
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    Type
    Article
    Authors
    Narayanan, Kiran cc
    Samtaney, Ravi cc
    KAUST Department
    Fluid and Plasma Simulation Group (FPS)
    Investment Fund
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    KAUST Grant Number
    BAS/1/1349-01-01
    Date
    2019-11-06
    Online Publication Date
    2019-11-06
    Print Publication Date
    2020-01
    Embargo End Date
    2021-11-06
    Permanent link to this record
    http://hdl.handle.net/10754/660218
    
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    Abstract
    We study the significance of thermal fluctuations in fluid mixing that is induced by the Rayleigh–Taylor instability (RTI) using numerical solutions of the fluctuating compressible Navier–Stokes equations. Our results indicate that thermal fluctuations can trigger the onset of RTI at an initially unperturbed fluid–fluid interface and lead to mixing of multi-mode character with growth rates of αs = 0.035 and αb = 0.023 for the spikes and bubbles, respectively. In addition, we find that whether or not thermal fluctuations quantitatively affect the mixing behavior, depends on the magnitude of the dimensionless Boltzmann number of the system, and not solely on its size. When the Boltzmann number is much smaller than unity, the quantitative effect of thermal fluctuations on the mixing behavior is negligible and the behavior is the average of the outcome from several stochastic instances, with the ensemble of stochastic instances providing bounds on behavior. When the Boltzmann number is of order unity, we find that thermal fluctuations can significantly affect the mixing behavior; the ensemble-averaged solution shows a departure from the deterministic solution at late times. We conclude that for such systems, it is important to account for thermal fluctuations in order to correctly capture their physical behavior.
    Citation
    Narayanan, K., & Samtaney, R. (2019). On the role of thermal fluctuations in Rayleigh–Taylor mixing. Physica D: Nonlinear Phenomena, 132241. doi:10.1016/j.physd.2019.132241
    Sponsors
    All simulations were performed on the CRAY XC-40 Shaheen-II at the KAUST Supercomputing Core Laboratory. This work was supported by the KAUST baseline research funds BAS/1/1349-01-01.
    Publisher
    Elsevier BV
    Journal
    Physica D: Nonlinear Phenomena
    DOI
    10.1016/j.physd.2019.132241
    Additional Links
    https://linkinghub.elsevier.com/retrieve/pii/S0167278919303264
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.physd.2019.132241
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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