Response of a stratified viscous half-space to a perturbation of the free surface
Аннотация
The flow of a highly viscous liquid in a half-space due to the deformation of the free surface is investigated. The viscosity of the layer adjoining to the free surface is different from the viscosity of the remaining half-space. In the framework of small perturbation theory, the relationship between the deformation of the free surface and the deformation of the layer/half-space interface is obtained. It was demonstrated that the volume and geometrical center of the perturbation on the interface and on the free surface are the same. The dependence of the perturbation’s amplitude and width on layer thickness was investigated. The results of numerical and analytical calculations are close, even for moderate free surface perturbations.
Об авторах
S. Chivilikhin
St. Petersburg National Research University of Information Technologies, Mechanics and Optics
Россия
Россия
A. Amosov
Corning Incorporated
Соединённые Штаты Америки
Соединённые Штаты Америки
I. Melikhov
St. Petersburg National Research University of Information Technologies, Mechanics and Optics
Россия
Россия
Список литературы
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Рецензия
Для цитирования:
, , . Наносистемы: физика, химия, математика. 2013;4(5):592-604.
For citation:
Chivilikhin S.A., Amosov A.S., Melikhov I.F. Response of a stratified viscous half-space to a perturbation of the free surface. Nanosystems: Physics, Chemistry, Mathematics. 2013;4(5):592-604.
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