DYNAMICS OF DEFORMATION OF LIQUID DROPS.
NEW YORK UNIV BRONX DEPT OF AERONAUTICS AND ASTRONAUTICS
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A time dependent analysis is made of the deformation of an initially spherical drop moving in an unbound fluid at low Reynolds number. It is found that the excitation of a particular mode of deformation, including simple deformation, oscillation, and unstable deformation, depends on the Reynolds number, Weber number, the ratios of the two fluid densities and viscosities. The result of an analysis in the limit of vanishing voscosities shows that the droplet vibrates. The characteristic frequency obtained in the present analysis agrees with that previously obtained by H. Lamb. For large viscosities a limiting analysis indicates that a droplet deforms asymptotically to the equilibrium shape predicted by T. D. Taylor and A. Acrivos. The characteristic time of the deformation for ethyl alcohol droplets of 20 to 80 micrometers in diameter vary approximately from 0.001 sec to 0.005 sec. The effects of increasing temperature and pressure, free stream velocity and the droplet size are examined numerically for the deformation of ethyl alcohol drops. The unstable modes of deformation are likely to be excited at Reynolds number and Weber number both greater than unity. Author
- Fluid Mechanics