LINEAR-STABILITY ANALYSIS OF GAS-LIQUID INTERFACE

This paper extends the Rayleigh theory to study the interface instability of axisymmetric gas-liquid flows. The dispersion equations of cylindrical liquid sheets were derived and numerical solutions were obtained. Two families of instability curves were found; one for symmetric disturbances and the other for antisymmetric disturbances. Two limiting cases can be recovered from derived dispersion equations. The equation recovers the Rayleigh instability of round jets for symmetric disturbances and recovers the hollow jet or submerged jet instability for antisymmetric disturbances. Effects due to ambient fluid density and ambient fluid velocity on liquid-sheet instabilities were examined.