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Multiphase Science and Technology

Выходит 4 номеров в год

ISSN Печать: 0276-1459

ISSN Онлайн: 1943-6181

SJR: 0.144 SNIP: 0.256 CiteScore™:: 1.1 H-Index: 24

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LINEAR STABILITY ANALYSIS OF THE DISCRETIZED ONE-DIMENSIONAL TWO-FLUID MODEL EQUATIONS FOR SLUG CAPTURING IN VERTICAL FLOW

Том 27, Выпуск 2-4, 2015, pp. 215-227
DOI: 10.1615/MultScienTechn.v27.i2-4.80
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Краткое описание

In this paper, a Von Neumann analysis of the discretized form of the 1D two-fluid model is presented for slug flow in vertical pipes in order to study the effect of the discretization scheme on the ill-posedness of the system. The resulting growth rate is compared to that obtained from a stability analysis of the parent system of differential equations. It is shown that the discretization of the equations introduces a cutoff limit for short wavelengths, below which all the perturbations are damped. This is equivalent to rendering the system numerically well posed. It is suggested here that this effect, for practical sizes of the mesh, is sufficient to stabilize the system and to yield valid solutions that lead to the prediction of the initiation of slugs in vertical configurations, and hence the computations for intermittent vertical flow using the two-fluid model. Those computations have been validated in a companion paper against experimental data.

ЦИТИРОВАНО В
  1. Fontalvo Eric M.G., Branco Rodrigo L. Castello, Carneiro João N.E., Nieckele Angela O., Assessment of closure relations on the numerical predictions of vertical annular flows with the two-fluid model, International Journal of Multiphase Flow, 126, 2020. Crossref

  2. Leporini Mariella, Bonzanini Arianna, Ferrari Marco, Poesio Pietro, The extension of the one‐dimensional two‐fluid slug capturing method to simulate slug flow in vertical pipes , International Journal for Numerical Methods in Fluids, 93, 3, 2021. Crossref

  3. Castello Branco Rodrigo L., Fontalvo Eric M.G., de Paula Igor Braga, Carneiro João N.E., Nieckele Angela O., Stability analysis of vertical annular flows with the 1D Two–Fluid Model: effect of closure relations on wave characteristics, International Journal of Multiphase Flow, 152, 2022. Crossref

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