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ANALYSIS OF VOID WAVE PROPAGATION AND SONIC VELOCITY USING A TWO-FLUID MODEL

卷 17, 册 4, 2005, pp. 293-320
DOI: 10.1615/MultScienTechn.v17.i4.10
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摘要

In this study, a state-of-the-art, ensemble-averaged, two-fluid model, which is an extension of the model proposed by Park et al. [1998], was used for the analysis of void wave propagation. Ensemble-averaging is the most fundamentally rigorous form of averaging [Buyevich, 1971], [Batchelor, 1970], since, in the ensemble averaging process, the ensemble is a set of flows that can occur at a specified position and time. Thus, the ensemble-average may include all the phasic interactions without specifying the time and length scales, in contrast to space/time averaging techniques [Drew and Passman, 1998].
Since the properties of void waves have been found to be sensitive to the two-fluid model's closure relations [Boure, 1982], [Pauchon and Banerjee, 1988], [Park et al., 1990a], [Biesheuvel and Gorrisen, 1990], [Lahey, 1991], the well-posedness of the incompressible two-fluid model was studied by considering the mathematical system's void wave characteristics. The model was found to be well-posed within a range of void fractions which depends on an interfacial pressure parameter, Cp. When Cp has physically realistic values, the incompressible two-fluid model is well-posed over the whole range of void fractions.
Void wave propagation phenomenon was also analyzed by performing a dispersion analysis of the linearized incompressible two-fluid model. The celerity, stability and damping of the frequency dependent void waves were obtained and regions of instability for the incompressible two-fluid model were identified. Finally, the two-phase sonic velocity implied by the compressible two-fluid model was evaluated and shown to agree with bubbly flow data.

对本文的引用
  1. Zanotti Angel L., Méndez Carlos G., Nigro Norberto M., Storti Mario, A Preconditioning Mass Matrix to Avoid the Ill-Posed Two-Fluid Model, Journal of Applied Mechanics, 74, 4, 2007. Crossref

  2. Kumbaro Anela, Ndjinga Michaël, Influence of Interfacial Pressure Term on the Hyperbolicity of a General Multifluid Model, The Journal of Computational Multiphase Flows, 3, 3, 2011. Crossref

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  4. Lahey Richard T., Baglietto Emilio, Bolotnov Igor A., Progress in multiphase computational fluid dynamics, Nuclear Engineering and Design, 374, 2021. Crossref

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