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多相流动科学与技术
SJR: 0.183 SNIP: 0.483 CiteScore™: 0.5

ISSN 打印: 0276-1459
ISSN 在线: 1943-6181

多相流动科学与技术

DOI: 10.1615/MultScienTechn.v15.i1-4.160
pages 181-192

TWO-FLUID MODELLING AND AVERAGED EQUATIONS

A. Prosperetti
Department of Mechanical Engineering, The John Hopkins University, Baltimore, MD 21218, USA; and Department of Applied Physics, IMPACT, University of Twente, AE 7500 Enschede, The Netherlands

ABSTRACT

Averaged-equations models are and will remain a practical necessity for many years to come. In spite of their importance and the large body of literature devoted to their derivation and numerical solution, this is an area where very serious difficulties still exist. The root of the problems is that, in order to formulate a closed system of equations, part of the information lost upon averaging must be reintroduced in the equations. There is no consensus on the proper way to effect this step and most of the approaches tried to date have failed to produce a well-behaved mathematical model. In their turn, the mathematical difficulties of the models generate difficulties for the numerical methods used for their solution. The formulation of satisfactory averaged equations emerges therefore as one of the foremost problems in multiphase flow. It is suggested that a better approach to the derivation of averaged equations might be reliance on the results of direct numerical simulations, in addition to experiment.


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