A two‐phase flow model of the Rayleigh–Taylor mixing zone
作者:
Yupin Chen,
James Glimm,
David H. Sharp,
Qiang Zhang,
期刊:
Physics of Fluids
(AIP Available online 1996)
卷期:
Volume 8,
issue 3
页码: 816-825
ISSN:1070-6631
年代: 1996
DOI:10.1063/1.868863
出版商: AIP
数据来源: AIP
摘要:
The Rayleigh–Taylor instability of an interface separating fluids of distinct density is driven by an acceleration across the interface. Low order statistical moments of fluctuating fluid quantities characterize the hydrodynamics of the mixing zone. A new model is proposed for the momentum coupling between the two phases. This model is validated against computational data for compressible flows, including flows near the incompressible limit. Our main result is a zero parameter first order closure for ensemble averaged two phase flow equations. We do not, however, fully solve the closure problem, as the equations we derive are missing an (internal) boundary condition along any surface for which either phase goes to zero volume fraction. In this sense, the closure problem is reduced from a volume to a surface condition, rather than being solved completely. We compare two formulations of the statistical moments, one based on two phase flow and the other on turbulence models. These formulations describe different aspects of the mixing process. For the problem considered, the two phase flow moments appear to be preferable, in that they subsume the turbulence moments but not conversely. ©1996 American Institute of Physics.
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