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Statistical Treatment of Turbulent Polydisperse Particle Systems pp 29–53Cite as

Eulerian–Eulerian Field Equations

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Abstract

In this chapter, different methods for writing EE field equations are discussed. RANS- and PDF-type methods are introduced, and the advantages of PDF methods are discussed.

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Notes

  1. 1.

    The author believes that the phase indicator function is not strictly applicable for averaging the instantaneous equations that already represent a continuum.

  2. 2.

    The general notation adopted from this point onward is that Eulerian variablesEulerian variables are denoted by lower-case characters, and Lagrangian variablesLagrangian variables are denoted by upper-case characters.*****

  3. 3.

    A derivation of Eq. 3.44 can be found in Subramaniam [100]

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Authors and Affiliations

  1. Faculty of Engineering and the Environment, University of Southampton, Southampton, UK

    J. S. Shrimpton

  2. University of Southampton, Southampton, UK

    S. Haeri

  3. York, UK

    Stephen J. Scott

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  1. J. S. Shrimpton
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Shrimpton, J.S., Haeri, S., Scott, S.J. (2014). Eulerian–Eulerian Field Equations. In: Statistical Treatment of Turbulent Polydisperse Particle Systems. Green Energy and Technology. Springer, London. https://doi.org/10.1007/978-1-4471-6344-2_3

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