Effects of Surface Tension and General Rotation on the Rayleigh-Taylor Instability of Three-Layer Flow

G. A. Hoshoudy

Abstract


The stability of two interfaces separating three fluids, where the fluids are assumed to be incompressible, inviscid, and of constant density, has been investigated for a system that is acted upon by a general rotation. The effect of surface tension at the two interfaces is taken into account. A general dispersion relation for the system is obtained analytically by formulating the problem in terms of complex variables. Numerical calculations were performed for a hexane-NaCl-CCl4 system to investigate stable case, and special cases that isolate the effect of various parameters on the growth rate of the Rayleigh-Taylor instability are discussed. It is found that the two cutoff wave numbers for the system with surface tension are unchanged by the addition of a general rotation, and that for the system considered, all growth rates are reduced in the presence of a general rotation.


Full Text: PDF DOI: 10.5539/mer.v3n1p87

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Mechanical Engineering Research   ISSN 1927-0607 (Print)   ISSN 1927-0615 (Online)

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