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Title of the article

ANALYTICAL AND NUMERICAL RESEARCH OF THE FORMS OF EQUILIBRIUM OF A LIQUID LIMITED VOLUME ON A ROTATING HORIZONTAL BASE
Authors

AUDZEICHYK Yauheni V., Undergraduate Student of the Department of Theoretical and Applied Mechanics, Belarusian State University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

KONON Pavel N., Ph. D. in Phys. and Math., Associate Professor of the Department of Theoretical and Applied Mechanic, Belarusian State University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

MOGILEVSKIY Evgeniy I., Ph. D. in Phys. and Math., Associate Professor of the Department of Aeromechanics and Gas Dynamics, Lomonosov Moscow State University, Moscow, Russia, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.
In the section MECHANICS OF DEFORMED SOLIDS
Year 2020 Issue 2 Pages 91–96
Type of article RAR Index UDK 532.516 Index BBK  
Abstract The article studies axisymmetric forms of drop relative equilibrium on a rotating disk due to the action of gravitational, centrifugal and capillary forces. It is obtained that there are two main types of forms of equilibrium: with simply connected and not simply connected sets of points of contact of liquid and solid phases. A number of statements about these forms of equilibrium are proved analytically. The findings are consistent with the numerically found drop shapes for various examples of the input data. Curves for determination of dependencies between various parameters of liquid volume in relative rest are constructed.
Keywords

rotating disk, relative equilibrium, Navier–Stokes equations, Laplace formula, surface tension, contact angle, axisymmetric drop
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