Multiphase Science and Technology A Quarterly

ISSN for PRINT: 0276-1459

For Online Access

Best Paper Award Selection - Editorial Board Site

1994, Volume8

Issue 1-4

786 pages

Issue price - $560.00

J. E. Flaherty
Department of Computer Science, Rensselaer Polytechnic Institute, Troy, New York 12180-3590, USA

Some results and techniques are presented for analysing the two-fluid model for two-phase flow. This model is based on the equations of balance of mass and momentum for each phase. Such models can become ill posed as an initial value problem due to complex characteristics which seem to arise from the coupling between the two momentum equations. Whilst it is true that a viscous system has real characteristics, in the limit of vanishing viscosity, the complex characteristics of the inviscid system give rise to small-scale instabilities which are artefacts of the model, and not physically real. It has been shown that the problem of complex characteristics can be overcome by numerical viscosity, though this does not seem to provide inadequate replacement for the missing physics. These problems are discussed in the context of various forms of numerical modelling.

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