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ISSN Печать: 1044-5110
ISSN Онлайн: 1936-2684
Indexed in
THE KINETIC-SECTIONAL APPROACH FOR NONCOLLIDING EVAPORATING SPRAYS
Краткое описание
The sectional approach, introduced by Y. Tambour [6], is aimed at reducing the numerical costs when dealing with polydisperse sprays. Indeed, by grouping the particles into sections of size, it is possible to write a system of equations involving mean quantities of each section. These mean quantities are the new unknowns of the problem, and the sectional approach proposes a method for deriving the equations. The relation between the Williams equation and the sectional approach was made precise by Greenberg et al. [3]. However, some choices in the derivation may appear arbitrary. The aim of this article is to show that, using kinetic schemes, one can write precise schemes for evaporating sprays. The study emphasizes the meaning of the different parameters involved in the derivation of the scheme.
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Laurent Frédérique, Numerical analysis of Eulerian multi-fluid models in the context of kinetic formulations for dilute evaporating sprays, ESAIM: Mathematical Modelling and Numerical Analysis, 40, 3, 2006. Crossref
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Massot Marc, Laurent Frédérique, Kah Damien, de Chaisemartin Stéphane, A Robust Moment Method for Evaluation of the Disappearance Rate of Evaporating Sprays, SIAM Journal on Applied Mathematics, 70, 8, 2010. Crossref
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Dufour Guillaume, Villedieu Philippe, A second-order multi-fluid model for evaporating sprays, ESAIM: Mathematical Modelling and Numerical Analysis, 39, 5, 2005. Crossref
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Haeri S., Shrimpton J.S., A mesoscopic description of polydispersed particle laden turbulent flows, Progress in Energy and Combustion Science, 37, 6, 2011. Crossref
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Schneider Lukas, Le Lostec Nechtan, Villedieu Philippe, Sadiki Amsini, A moment method for splashing and evaporation processes of polydisperse sprays, International Journal of Multiphase Flow, 36, 4, 2010. Crossref
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Shrimpton J. S., Haeri S., Scott Stephen J., A Poly-dispersed EE Model, in Statistical Treatment of Turbulent Polydisperse Particle Systems, 2014. Crossref
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Shrimpton J. S., Haeri S., Scott Stephen J., Eulerian–Eulerian Field Equations, in Statistical Treatment of Turbulent Polydisperse Particle Systems, 2014. Crossref
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Dufour G., A New Accurate Method for Simulating Polydispersed Two-Phase Flows, in Computational Fluid Dynamics 2004, 2006. Crossref