Analytical and Numerical Research of the Forms of Equilibrium of a Liquid Limited Volume on a Rotating Horizontal Base

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...

Full description

Bibliographic Details
Main Authors:	Yauheni V. Audzeichyk, Pavel N. Konon, Evgeniy I. Mogilevskiy
Format:	Article
Language:	English
Published:	National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering" 2020-06-01
Series:	Механика машин, механизмов и материалов
Subjects:	rotating disk relative equilibrium navier–stokes equations laplace formula surface tension contact angle axisymmetric drop
Online Access:	http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=1580

id	doaj-51b8d7e1bf7340c7a4413f2a2c1988f3
record_format	Article
spelling	doaj-51b8d7e1bf7340c7a4413f2a2c1988f32021-08-30T13:34:53ZengNational Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"Механика машин, механизмов и материалов1995-04702518-14752020-06-012(51)9196Analytical and Numerical Research of the Forms of Equilibrium of a Liquid Limited Volume on a Rotating Horizontal BaseYauheni V. Audzeichyk0Pavel N. Konon1Evgeniy I. Mogilevskiy2https://orcid.org/0000-0002-0609-5659Belarusian State UniversityBelarusian State UniversityLomonosov Moscow State UniversityThe 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.http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=1580rotating diskrelative equilibriumnavier–stokes equationslaplace formulasurface tensioncontact angleaxisymmetric drop
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Yauheni V. Audzeichyk Pavel N. Konon Evgeniy I. Mogilevskiy
spellingShingle	Yauheni V. Audzeichyk Pavel N. Konon Evgeniy I. Mogilevskiy Analytical and Numerical Research of the Forms of Equilibrium of a Liquid Limited Volume on a Rotating Horizontal Base Механика машин, механизмов и материалов rotating disk relative equilibrium navier–stokes equations laplace formula surface tension contact angle axisymmetric drop
author_facet	Yauheni V. Audzeichyk Pavel N. Konon Evgeniy I. Mogilevskiy
author_sort	Yauheni V. Audzeichyk
title	Analytical and Numerical Research of the Forms of Equilibrium of a Liquid Limited Volume on a Rotating Horizontal Base
title_short	Analytical and Numerical Research of the Forms of Equilibrium of a Liquid Limited Volume on a Rotating Horizontal Base
title_full	Analytical and Numerical Research of the Forms of Equilibrium of a Liquid Limited Volume on a Rotating Horizontal Base
title_fullStr	Analytical and Numerical Research of the Forms of Equilibrium of a Liquid Limited Volume on a Rotating Horizontal Base
title_full_unstemmed	Analytical and Numerical Research of the Forms of Equilibrium of a Liquid Limited Volume on a Rotating Horizontal Base
title_sort	analytical and numerical research of the forms of equilibrium of a liquid limited volume on a rotating horizontal base
publisher	National Academy of Sciences of Belarus, State Scientific Institution “The Joint Institute of Mechanical Engineering"
series	Механика машин, механизмов и материалов
issn	1995-0470 2518-1475
publishDate	2020-06-01
description	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.
topic	rotating disk relative equilibrium navier–stokes equations laplace formula surface tension contact angle axisymmetric drop
url	http://mmmm.by/en/readers-en/archive-room-en?layout=edit&id=1580
work_keys_str_mv	AT yauhenivaudzeichyk analyticalandnumericalresearchoftheformsofequilibriumofaliquidlimitedvolumeonarotatinghorizontalbase AT pavelnkonon analyticalandnumericalresearchoftheformsofequilibriumofaliquidlimitedvolumeonarotatinghorizontalbase AT evgeniyimogilevskiy analyticalandnumericalresearchoftheformsofequilibriumofaliquidlimitedvolumeonarotatinghorizontalbase
_version_	1721185005614399488

Analytical and Numerical Research of the Forms of Equilibrium of a Liquid Limited Volume on a Rotating Horizontal Base

Similar Items