FLUID FLOW MODELLING WITH FREE SURFACE

Fluid is a substance that can flow in the form of a liquid or a gas. Based on the movement of the fluid is divided into static and dynamic fluids. This study discusses fluid dynamics, namely modelling fluid flow accompanied by a free surface and an obstacle in the fluid flow. Fluid modelling general...

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Main Authors: Anjeryan Sapta Pratama, Evi Noviani, Yudhi Yudhi
Format: Article
Language:English
Published: Universitas Pattimura 2022-12-01
Series:Barekeng
Subjects:
Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5570
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author Anjeryan Sapta Pratama
Evi Noviani
Yudhi Yudhi
author_facet Anjeryan Sapta Pratama
Evi Noviani
Yudhi Yudhi
author_sort Anjeryan Sapta Pratama
collection DOAJ
description Fluid is a substance that can flow in the form of a liquid or a gas. Based on the movement of the fluid is divided into static and dynamic fluids. This study discusses fluid dynamics, namely modelling fluid flow accompanied by a free surface and an obstacle in the fluid flow. Fluid modelling generally makes some basic assumptions into mathematical equations. The assumptions are incompressible, steady-state and irrotational. The steps to obtain a fluid flow model are using Newton’s second law, the law of conservation of mass, and the law of conservation of momentum to obtain the general Navier-Stokes equation, the designing the Euler free surface equation, the Bernoulli equation, then making a free surface representation and linearizing the wave equation so that it is obtained fluid flow model. The resulting mathematical model is a Laplace equation with boundary conditions in the fluid.
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issn 1978-7227
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language English
publishDate 2022-12-01
publisher Universitas Pattimura
record_format Article
series Barekeng
spelling doaj-art-b737933bc7ce4e089be1cd73bb0e21472025-08-20T03:05:38ZengUniversitas PattimuraBarekeng1978-72272615-30172022-12-011641147115810.30598/barekengvol16iss4pp1147-11585570FLUID FLOW MODELLING WITH FREE SURFACEAnjeryan Sapta Pratama0Evi Noviani1Yudhi Yudhi2Department of Mathematics, Faculty of Mathematics and Science, Tanjungpura UniversityDepartment of Mathematics, Faculty of Mathematics and Science, Tanjungpura UniversityDepartment of Mathematics, Faculty of Mathematics and Science, Tanjungpura UniversityFluid is a substance that can flow in the form of a liquid or a gas. Based on the movement of the fluid is divided into static and dynamic fluids. This study discusses fluid dynamics, namely modelling fluid flow accompanied by a free surface and an obstacle in the fluid flow. Fluid modelling generally makes some basic assumptions into mathematical equations. The assumptions are incompressible, steady-state and irrotational. The steps to obtain a fluid flow model are using Newton’s second law, the law of conservation of mass, and the law of conservation of momentum to obtain the general Navier-Stokes equation, the designing the Euler free surface equation, the Bernoulli equation, then making a free surface representation and linearizing the wave equation so that it is obtained fluid flow model. The resulting mathematical model is a Laplace equation with boundary conditions in the fluid.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5570incompressiblesteady-stateirrotational
spellingShingle Anjeryan Sapta Pratama
Evi Noviani
Yudhi Yudhi
FLUID FLOW MODELLING WITH FREE SURFACE
Barekeng
incompressible
steady-state
irrotational
title FLUID FLOW MODELLING WITH FREE SURFACE
title_full FLUID FLOW MODELLING WITH FREE SURFACE
title_fullStr FLUID FLOW MODELLING WITH FREE SURFACE
title_full_unstemmed FLUID FLOW MODELLING WITH FREE SURFACE
title_short FLUID FLOW MODELLING WITH FREE SURFACE
title_sort fluid flow modelling with free surface
topic incompressible
steady-state
irrotational
url https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5570
work_keys_str_mv AT anjeryansaptapratama fluidflowmodellingwithfreesurface
AT evinoviani fluidflowmodellingwithfreesurface
AT yudhiyudhi fluidflowmodellingwithfreesurface