Other
Scientific paper
Jan 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phdt........23t&link_type=abstract
Thesis (PH.D.)--UNIVERSITY OF HAWAII, 1994.Source: Dissertation Abstracts International, Volume: 56-02, Section: B, page: 0886.
Other
Dispersion Equation
Scientific paper
Interfacial instability of slightly miscible, laminar, cylindrical liquid jets in another fluid is examined. A general explicit dispersion equation is derived using an integro-differential approach. Under appropriate conditions, the resultant equation reduces to the dispersion relationships of Rayleigh, Weber, and Bogy, and matches Tomotika's equation for both limiting and non-limiting cases. The influence of jet and ambient fluid properties, mass transfer, and jet velocity on instability are examined employing the dispersion equation of this study. The present study of interfacial instability is extended to the analysis of instability of a liquid film on a wire in another fluid; film thickness is found to be an important parameter for film instability. Nonlinear instability of an inviscid cylindrical liquid jet in a gas is also investigated via a third-order perturbation analysis. The analysis shows that the pattern of jet-breakup is strongly influenced by the mode and the initial amplitude of the disturbance. A droplet-size equation for low-velocity systems and a jet-length equation for liquid-in-gas systems are derived for laminar flows. The resultant expressions are tested by comparing the predictions of this study with experimental data reported in the literature. Good agreement is observed. A special liquid-in-liquid system with phase-change at the interface, represented by a liquid CO_2 jet in water, is investigated. The mechanism for formation of CO_2 hydrates at the CO_2/water interface and the effect of hydrates on jet instability are discussed.
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