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    Efficient simulation of gas-liquid pipe flows using a generalized population balance equation coupled with the algebraic slip model

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    Type
    Article
    Authors
    Icardi, Matteo cc
    Ronco, Gianni
    Marchisio, Daniele Luca
    Labois, Mathieu
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Applied Mathematics and Computational Science Program
    Date
    2014-09
    Permanent link to this record
    http://hdl.handle.net/10754/563735
    
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    Abstract
    The inhomogeneous generalized population balance equation, which is discretized with the direct quadrature method of moment (DQMOM), is solved to predict the bubble size distribution (BSD) in a vertical pipe flow. The proposed model is compared with a more classical approach where bubbles are characterized with a constant mean size. The turbulent two-phase flow field, which is modeled using a Reynolds-Averaged Navier-Stokes equation approach, is assumed to be in local equilibrium, thus the relative gas and liquid (slip) velocities can be calculated with the algebraic slip model, thereby accounting for the drag, lift, and lubrication forces. The complex relationship between the bubble size distribution and the resulting forces is described accurately by the DQMOM. Each quadrature node and weight represents a class of bubbles with characteristic size and number density, which change dynamically in time and space to preserve the first moments of the BSD. The predictions obtained are validated against previously published experimental data, thereby demonstrating the advantages of this approach for large-scale systems as well as suggesting future extensions to long piping systems and more complex geometries. © 2014 Elsevier Inc.
    Citation
    Icardi, M., Ronco, G., Marchisio, D. L., & Labois, M. (2014). Efficient simulation of gas–liquid pipe flows using a generalized population balance equation coupled with the algebraic slip model. Applied Mathematical Modelling, 38(17-18), 4277–4290. doi:10.1016/j.apm.2014.04.052
    Publisher
    Elsevier BV
    Journal
    Applied Mathematical Modelling
    DOI
    10.1016/j.apm.2014.04.052
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.apm.2014.04.052
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division

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