Mixture pressure and stress in disperse two-phase flow

M. Marchioro, M. Tanksley, A. Prosperetti

Research output: Contribution to journalArticleAcademicpeer-review

30 Citations (Scopus)
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The definition and interpretation of average pressure in an incompressible disperse two-phase flow are ambiguous and have been the object of debate in the literature. For example, the physical meaning of definitions involving an internal ‘pressure’ inside rigid particles is unclear. The appearance of the particle internal stresses in averaged equations of the two-fluid types is similarly puzzling as, provided the particles are sufficiently rigid, the precise numerical value of such stresses would not be expected to affect the flow. This paper deals with these matters using a new approach. A proper definition of mixture pressure follows quite naturally by identifying the isotropic component of the mixture stress that — just like the usual pressure in incompressible single-phase flow — is covariant under the gauge transformation p→p+ψ, where ψ can be thought of as the potential of body forces. This transformation includes as special cases the more usual gauge transformation.
Original languageEnglish
Pages (from-to)1395-1429
Number of pages35
JournalInternational journal of multiphase flow
Issue number6-7
Publication statusPublished - 1999
Externally publishedYes


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