Instability of Liquid Surfaces And the Formation of Drops

Cover Instability of Liquid Surfaces And the Formation of Drops
Instability of Liquid Surfaces And the Formation of Drops
Joseph B Keller
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As a secoid example, consider the production of an aerosol (i. E. Dispersion of liquid drops In air) by a -2- bomb containinp: an explosive surrounded by a layer of liquid. The high pressure gases resulting frora the explosion propel the liquid layer outward, and it Liltinately breaks ut) into drops. The present theory also attempts to account for this brealcup . In our proposed m. Echanlsm of breakup v;e assuiTie that there is a zero order accelerated flow of the liqiiid laj^er. The first orde...r perturbation of this flow, which satisfies linear equations, is represented as a series or integral of normal modes. Some of the modes are found to bo unstable in the sense that their a'apli tildes increase indefinitely with time. Among these, one or more are m. Ost unstable, in the sense that they grow most rapidly. In the case of constant acceleration the unstable modes grow exponentially, and the most unstable modes have the largest exponents. The most unstable modes are assumed to be responsible for the breakup of the laycv into pieces, which then become spherical due to surface tension.

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