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On the quest for a hyperbolic effective-field model of disperse flows

  • Author(s): Lhuillier, D
  • Chang, CH
  • Theofanous, TG
  • et al.

The cornerstone of multiphase flow applications in engineering practice is a scientific construct that translates the basic laws of fluid mechanics into a set of governing equations for effective interpenetrating continua, the effective-field (or two-fluid) model. Over more than half a century of development this model has taken many forms but all of them fail in a way that was known from the very beginning: mathematical ill-posedness. The aim of this paper is to refocus awareness of this problem from a unified fundamental perspective that clarifies the manner in which such failures took place and to suggest the means for a final closure. © 2013 Cambridge University Press.

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