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TWO-FLUID MODELLING AND AVERAGED EQUATIONS

卷 15, 册 1-4, 2003, pp. 181-192
DOI: 10.1615/MultScienTechn.v15.i1-4.160
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摘要

Averaged-equations models are and will remain a practical necessity for many years to come. In spite of their importance and the large body of literature devoted to their derivation and numerical solution, this is an area where very serious difficulties still exist. The root of the problems is that, in order to formulate a closed system of equations, part of the information lost upon averaging must be reintroduced in the equations. There is no consensus on the proper way to effect this step and most of the approaches tried to date have failed to produce a well-behaved mathematical model. In their turn, the mathematical difficulties of the models generate difficulties for the numerical methods used for their solution. The formulation of satisfactory averaged equations emerges therefore as one of the foremost problems in multiphase flow. It is suggested that a better approach to the derivation of averaged equations might be reliance on the results of direct numerical simulations, in addition to experiment.

对本文的引用
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  3. Theofanous Theo, Nourgaliev Robert, Li Guangjun, Dinh Nam, Compressible Multi-Hydrodynamics (CMH): Breakup, Mixing, and Dispersal of Liquids/Solids in High Speed Flows, in IUTAM Symposium on Computational Approaches to Multiphase Flow, 81, 2006. Crossref

  4. Ström Henrik, Sasic Srdjan, Jareteg Klas, Demazière Christophe, Behaviour and Stability of the Two-Fluid Model for Fine-Scale Simulations of Bubbly Flow in Nuclear Reactors, International Journal of Chemical Reactor Engineering, 13, 4, 2015. Crossref

  5. Ávila Vinícius da Costa, Tessaro Isabel Cristina, Cardozo Nilo Sérgio Medeiros, Estimation of the spatial discretization error in numerical simulations of bubbly flows, Chemical Engineering Science, 236, 2021. Crossref

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