Abstract
A linear stability analysis has been carried out for viscous incompressible liquid sheets in two compressible gas streams of unequal velocities. It is found that there exist two independent unstable modes: parasinuous and paravaricose. Although both modes are unstable, the parasinuous mode is predominant under the conditions typically found for practical applicationsof liquid atomization and sprays. Gas compressibility increases the wave growth rate and dominant wave number for both of the unstable modes; hence, it can enhance signi cantly the breakup of liquid sheets and the production of small droplets in sprays.
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