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Nonlinear taylor instability of a plane interface between two incompressible fluids with interfacial mass transfer
Author(s) -
Chang IHwa M.,
Bankoff S. G.
Publication year - 1983
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690290113
Subject(s) - instability , entrainment (biomusicology) , mass transfer , mechanics , thermodynamics , compressibility , condensation , nonlinear system , chemistry , materials science , physics , quantum mechanics , rhythm , acoustics
A principal mechanism for rapid mixing and fragmentation in vapor explosions, such as have occurred in the LNG, aluminum, steel and paper industries, is thought to be nonlinear Taylor instability. An analysis, based on a generalized coordinate method developed by Dienes for a fluid with an arbitrary constitutive law, is here extended to a two‐fluid model, with or without mass transfer between the fluids. Numerical results indicate that in a steam‐water system entrainment starts in times of order 10 −4 s at 100 G acceleration normal to the interface. For gas‐liquid systems the presence of the second fluid changes the instability growth only slightly. Condensation of steam, even when limited only by the kinetic theory interfacial resistance, also has minor effects on the growth rate. However, condensation on the entrained drops will have a major effect on the acceleration.