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Mathematical Modeling of Disperse Two-Phase Flows pp 77–110Cite as

Population Balances and Moments Transport Equations for Disperse Two-Phase Flows

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

Abstract

In this chapter, a link is derived between the interfacial area transport equation derived in Chap. 4 and the population balance equation for disperse flows. The particles birth and death phenomena are formalized. These phenomena are mechanical ones (coalescence and breakup) or are due to phase change (nucleation and collapse). Transport equations are derived for the moments of the particle size distribution function. These moments equations being unclosed, we briefly review two quadrature methods of moments to close and solve the set of equations. A completely different method based on the discretization of the bubble size distribution function is also presented in the context of isothermal bubbly flows.

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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). Population Balances and Moments Transport Equations for Disperse Two-Phase Flows. 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_5

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  • DOI: https://doi.org/10.1007/978-3-319-20104-7_5

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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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