| 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{dollar}sb2{dollar} jet in water, is investigated. The mechanism for formation of CO{dollar}sb2{dollar} hydrates at the CO{dollar}sb2{dollar}/water interface and the effect of hydrates on jet instability are discussed. |
