Modelling of the surface of the liquid metal drop with nonfixed radius

Two first order nonlinear differential equations system with the separated boundary conditions and nonlocal integral conditions is considered. The system is modeling the surface of the liquid micro volume drop with nonfixed radius on the horizontal plane. The boundary problem is brought to the init...

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Main Author: Regimantas Čiupaila
Format: Article
Language:English
Published: Vilnius University Press 2005-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/29203
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author Regimantas Čiupaila
author_facet Regimantas Čiupaila
author_sort Regimantas Čiupaila
collection DOAJ
description Two first order nonlinear differential equations system with the separated boundary conditions and nonlocal integral conditions is considered. The system is modeling the surface of the liquid micro volume drop with nonfixed radius on the horizontal plane. The boundary problem is brought to the initial one. The iterative algorithm is proposed to count the curve of the crest of the drop depending on some geometrical and mechanical parameters.
format Article
id doaj-art-84205603bc9d4a63bbaf8774480e6415
institution Kabale University
issn 0132-2818
2335-898X
language English
publishDate 2005-12-01
publisher Vilnius University Press
record_format Article
series Lietuvos Matematikos Rinkinys
spelling doaj-art-84205603bc9d4a63bbaf8774480e64152025-01-20T18:15:46ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2005-12-0145spec.10.15388/LMR.2005.29203Modelling of the surface of the liquid metal drop with nonfixed radiusRegimantas Čiupaila0Vilnius Gediminas Technical University Two first order nonlinear differential equations system with the separated boundary conditions and nonlocal integral conditions is considered. The system is modeling the surface of the liquid micro volume drop with nonfixed radius on the horizontal plane. The boundary problem is brought to the initial one. The iterative algorithm is proposed to count the curve of the crest of the drop depending on some geometrical and mechanical parameters. https://www.journals.vu.lt/LMR/article/view/29203system of nonlinear differential equationsnonlocal conditionliquid drop
spellingShingle Regimantas Čiupaila
Modelling of the surface of the liquid metal drop with nonfixed radius
Lietuvos Matematikos Rinkinys
system of nonlinear differential equations
nonlocal condition
liquid drop
title Modelling of the surface of the liquid metal drop with nonfixed radius
title_full Modelling of the surface of the liquid metal drop with nonfixed radius
title_fullStr Modelling of the surface of the liquid metal drop with nonfixed radius
title_full_unstemmed Modelling of the surface of the liquid metal drop with nonfixed radius
title_short Modelling of the surface of the liquid metal drop with nonfixed radius
title_sort modelling of the surface of the liquid metal drop with nonfixed radius
topic system of nonlinear differential equations
nonlocal condition
liquid drop
url https://www.journals.vu.lt/LMR/article/view/29203
work_keys_str_mv AT regimantasciupaila modellingofthesurfaceoftheliquidmetaldropwithnonfixedradius