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    Implicitly Coupled Phase Fraction Equations for the Eulerian Multi-Fluid Model

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    1-s2.0-S0045793019302403-main.pdf
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    1.368Mb
    Format:
    PDF
    Description:
    Accepted Manuscript
    Embargo End Date:
    2021-08-23
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    Type
    Article
    Authors
    Keser, Robert cc
    Vukčević, Vuko cc
    Battistoni, Michele cc
    Im, Hong G. cc
    Jasak, Hrvoje
    KAUST Department
    Clean Combustion Research Center
    Computational Reacting Flow Laboratory (CRFL)
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    KAUST Grant Number
    OSR-2017-CRG6-3409.03
    Date
    2019-08-23
    Online Publication Date
    2019-08-23
    Print Publication Date
    2019-08
    Embargo End Date
    2021-08-23
    Permanent link to this record
    http://hdl.handle.net/10754/656654
    
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    Abstract
    In this work, the implementation, verification and validation of an implicitly coupled solution procedure for the phase fraction equations in the Eulerian multi-fluid model are presented. The model is implemented within the foam-extendtoolbox, a community-driven fork of OpenFOAM. The implicitly coupled system for an arbitrary number of phases is based on the modified formulation of the phase fraction equation. This formulation takes advantage of the mixture divergence-free velocity and the cross-coupling with the remaining phase fraction equations via the non-linear relative velocity term. The linearised and implicitly coupled phase-fraction equations are solved simultaneously within a single block matrix. The model is tested for a bubbly air-water upward flow which forms a mixing layer inside a square duct. In the first test, the mesh verification analysis is performed on structured grids with different levels of refinement. The second test investigates the influence of the number of bubble phases on the flow solution for the same flow conditions. In the third test, the implemented model is validated against experimental data from the literature. The last test compares the performance of the implemented implicitly coupled solution procedure for the phase fraction equations against the standard segregated implementation. The proposed method shows good agreement with experimental data, and has proven to be consistent both in terms of the number of phases and grid refinement. Furthermore, the method improved the convergence of the solution for flows at higher bubble phase fraction
    Citation
    Keser, R., Vukčević, V., Battistoni, M., Im, H., & Jasak, H. (2019). Implicitly Coupled Phase Fraction Equations for the Eulerian Multi-Fluid Model. Computers & Fluids, 104277. doi:10.1016/j.compfluid.2019.104277
    Sponsors
    This work was supported by the King Abdullah University of Science and Technology within the OSR-2017-CRG6-3409.03 research grant, and the Croatian Science Foundation (project number DOK-01-2018). In this document normal symbols represent scalar quantities, boldface Roman symbols represent vectors and boldface Greek symbols represent tensor quantities.
    Publisher
    Elsevier BV
    Journal
    Computers & Fluids
    DOI
    10.1016/j.compfluid.2019.104277
    Additional Links
    https://linkinghub.elsevier.com/retrieve/pii/S0045793019302403
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.compfluid.2019.104277
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program; Clean Combustion Research Center

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