Viscous effects on perturbed spherical flows

作者：Andréa Prosperetti · 发表于：Quarterly of Applied Mathematics · 年份：1977 · DOI：10.1090/qam/99652 · 被引用次数：255 · 研究领域：Fluid Dynamics and Turbulent Flows、Fluid Dynamics and Heat Transfer、Computational Fluid Dynamics and Aerodynamics

The problem of two viscous, incompressible fluids separated by a nearly spherical free surface is considered in general terms as an initial-value problem to first order in the perturbation of the spherical symmetry. As an example of the applications of the theory, the free oscillations of a viscous liquid drop and of a bubble in a viscous liquid are studied in some detail. It is shown that the oscillations are initially describable in terms of an irrotational approximation, and that the normal-mode results are recovered as t → ∞ t \to \infty . In between these asymptotic regimes, however, the motion is significantly different from either approximation.