Publication: On the instability of fluid surfaces when accelerated perpendicular to their planes
Abstract
The analysis of instability of a gas-liquid interface when accelerated in a direction perpendicular to its plane has been found to be a singular perturbation problem. The problem is solved by the method of succesive approximations. The results which are determined to the third order, differ qualitatively and quantitatively from those of the linear theory. Surfactension and curvature are included in the analysis. The growth factor of the interface is found to depend not only on the wave number but also on the amplitude of the initial disturbance. The results are in good agreement with the experiments. © 1970 Springer-Verlag.