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Interfacial Forces and Momentum Exchange Closure

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Book cover Mathematical Modeling of Disperse Two-Phase Flows

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 114))

Abstract

This chapter gives an introduction to the modeling of the different forces acting on a disperse particle, and exerted on it by the continuous fluid. Different academic situations are first examined: spherical particles, very small or very large Reynolds numbers… The forces acting on a particle are decomposed into two contributions. The first contribution comes from the unperturbed fluid (by the particle presence) and is constituted of the Archimedes and Tchen forces. The second contribution comes from the perturbations and is classically decomposed into the sum of the drag, added mass, lift, and history forces. The proximity of a wall gives an additional lubrication force which is called the wall force. The effects of the particles shape and concentration are also examined in Sect. 8.6. In the last Sect. 8.7, the mean momentum interfacial transfer term is derived from the knowledge of the different forces and a proper averaging procedure.

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Authors and Affiliations

  1. DRT/LITEN/DTNM/SERE/LRVM, Commissariat à l’Energie Atomique, Grenoble, France

    Christophe Morel

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  1. Christophe Morel
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Correspondence to Christophe Morel .

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Morel, C. (2015). Interfacial Forces and Momentum Exchange Closure. In: Mathematical Modeling of Disperse Two-Phase Flows. Fluid Mechanics and Its Applications, vol 114. Springer, Cham. https://doi.org/10.1007/978-3-319-20104-7_8

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  • DOI: https://doi.org/10.1007/978-3-319-20104-7_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20103-0

  • Online ISBN: 978-3-319-20104-7

  • eBook Packages: EngineeringEngineering (R0)

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