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Dissolution of an ellipsoidal bubble in a slightly viscous liquid
Authors:A M Golovin
Abstract:The steady-state velocity, the degree of deformation, and the convective-diffusion-limited rate of quasisteady-state growth (or dissolution) are considered for gas bubbles having shapes close to those of spheres or disks. It is assumed that there are no surface-active substances in the liquid. A qualitative agreement is found between the calculated dissolution rate and the experimental data.Notation a radius of the sphere of equivalent volume - u bubble velocity with respect to the still liquid at infinity - gamma kinematic viscosity of the liquid - rgr liquid density - D gas diffusion coefficient in the liquid - sgr surface tension - g gravitational acceleration - d R=2au/ngr]-Reynolds number - e P=2au/D]-Peclet number - f W=2argru2/sgr]-Weber number The author thanks V. G. Levich for a discussion of these results.
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