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    Evolution and scaling of the peak flame surface density in spherical turbulent premixed flames subjected to decaying isotropic turbulence

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    Type
    Article
    Authors
    Kulkarni, Tejas cc
    Bisetti, Fabrizio cc
    Date
    2020-07-25
    Online Publication Date
    2020-07-25
    Print Publication Date
    2020-07
    Embargo End Date
    2022-07-25
    Submitted Date
    2019-11-07
    Permanent link to this record
    http://hdl.handle.net/10754/664426
    
    Metadata
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    Abstract
    The peak flame surface density within the turbulent flame brush is central to turbulent premixed combustion models in the flamelet regime. This work investigates the evolution of the peak surface density in spherically expanding turbulent premixed flames with the help of direct numerical simulations at various values of the Reynolds and Karlovitz number. The flames propagate in decaying isotropic turbulence inside a closed vessel. The effects of turbulent transport, transport due to mean velocity gradient, and flame stretch on the peak surface density are identified and characterized with an analysis based on the transport equation for the flame surface density function. The three mechanisms are governed by distinct flow time scales; turbulent transport by the eddy turnover time, mean transport by a time scale related to the pressure rise in the closed chamber, and flame stretch by the Kolmogorov time scale. Appropriate scaling of the terms is proposed and shown to collapse the data despite variations in the dimensionless groups. Overall, the transport terms lead to a reduction in the peak value of the surface density, while flame stretch has the opposite effect. In the present configuration, a small imbalance between the two leads to an exponential decay of the peak surface density in time. The dimensionless decay rate is found to be consistent with the evolution of the wrinkling scale as defined in the Bray-Moss-Libby model.
    Citation
    Kulkarni, T., & Bisetti, F. (2020). Evolution and scaling of the peak flame surface density in spherical turbulent premixed flames subjected to decaying isotropic turbulence. Proceedings of the Combustion Institute. doi:10.1016/j.proci.2020.06.042
    Sponsors
    Tejas Kulkarni and Fabrizio Bisetti are sponsored in part by NSF grant #1805921. Numerical simulations were carried out on the “Shaheen” supercomputer at King Abdullah University of Science and Technology (KAUST); and on the “Stampede2” supercomputer at the Texas Advanced Computing Center (TACC) through the allocation TG-CTS180002 under the Extreme Science and Engineering Discovery Environment.
    Publisher
    Elsevier BV
    Journal
    Proceedings of the Combustion Institute
    DOI
    10.1016/j.proci.2020.06.042
    Additional Links
    https://linkinghub.elsevier.com/retrieve/pii/S1540748920300687
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.proci.2020.06.042
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