najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМОnajo-1073Research ArticlePHYSICSФИЗИКАResponse of a stratified viscous half-space to a perturbation of the free surfaceChivilikhinS. A.

St. Petersburg

chivilikhin@gmail.comAmosovA. S.

Corning

amosovas@corning.comMelikhovI. F.

St. Petersburg

ivan.melikhov@gmail.comSt. Petersburg National Research University of Information Technologies, Mechanics and OpticsRussian FederationCorning IncorporatedUnited States20131708202545592604Copyright © Chivilikhin S.A., Amosov A.S., Melikhov I.F., 20252025Chivilikhin S.A., Amosov A.S., Melikhov I.F.Chivilikhin S.A., Amosov A.S., Melikhov I.F.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1073

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.

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The authors declare that there are no conflicts of interest present.