Vortical flow of incompressible viscous fluid in finite cylinder

The effective use of vortex energy in production of strong velocity fields by different devices is one of the modern areas of applications, developed during the last decade. In this paper the distribution of velocity field for viscous incompressible fluid in a pipe with a system of finite number of...

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Main Authors: Harijs Kalis, Ilmārs Kangro
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2008-09-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/7023
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spelling doaj-13b4d9b2c86b47b4bfa30a92a45de8452021-07-02T10:28:29ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102008-09-0113310.3846/1392-6292.2008.13.371-381Vortical flow of incompressible viscous fluid in finite cylinderHarijs Kalis0Ilmārs Kangro1Institute of Mathematics Latvian Academy of Sciences and University of Latvia, Akademijas laukums 1, LV-1524 Rıga, LatviaRezekne Higher Education Institution, Departament of engineering science, Atbrıivosanas aleja 90, LV-4601, Rezekne, Latvija The effective use of vortex energy in production of strong velocity fields by different devices is one of the modern areas of applications, developed during the last decade. In this paper the distribution of velocity field for viscous incompressible fluid in a pipe with a system of finite number of circular vortex lines, positioned on the inner surface of the finite cylinder is calculated. The approximation of the corresponding boundary value problem for the Navier‐Stokes equations is based on the finite difference method. This procedure allows us to reduce the 2D problem decribed by the system of Navier‐ Stokes PDEs to the monotonous difference equations. Calculations are done using the computer program Matlab and the following regimes are calculated: a) the flow in a smooth pipe; b) the flow, poured inside a pipe through the circle; c) the flow, poured inside a pipe through the ring. The model is investigated for different values of parameters Re (Reynolds number), G(swirl number) and A (vortex intensity). First Published Online: 14 Oct 2010 https://journals.vgtu.lt/index.php/MMA/article/view/70232D problemmonotonous finite differencefinite difference methodNavier – Stokes equationsviscous fluidmonotonous finite difference schemes
collection DOAJ
language English
format Article
sources DOAJ
author Harijs Kalis
Ilmārs Kangro
spellingShingle Harijs Kalis
Ilmārs Kangro
Vortical flow of incompressible viscous fluid in finite cylinder
Mathematical Modelling and Analysis
2D problem
monotonous finite difference
finite difference method
Navier – Stokes equations
viscous fluid
monotonous finite difference schemes
author_facet Harijs Kalis
Ilmārs Kangro
author_sort Harijs Kalis
title Vortical flow of incompressible viscous fluid in finite cylinder
title_short Vortical flow of incompressible viscous fluid in finite cylinder
title_full Vortical flow of incompressible viscous fluid in finite cylinder
title_fullStr Vortical flow of incompressible viscous fluid in finite cylinder
title_full_unstemmed Vortical flow of incompressible viscous fluid in finite cylinder
title_sort vortical flow of incompressible viscous fluid in finite cylinder
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2008-09-01
description The effective use of vortex energy in production of strong velocity fields by different devices is one of the modern areas of applications, developed during the last decade. In this paper the distribution of velocity field for viscous incompressible fluid in a pipe with a system of finite number of circular vortex lines, positioned on the inner surface of the finite cylinder is calculated. The approximation of the corresponding boundary value problem for the Navier‐Stokes equations is based on the finite difference method. This procedure allows us to reduce the 2D problem decribed by the system of Navier‐ Stokes PDEs to the monotonous difference equations. Calculations are done using the computer program Matlab and the following regimes are calculated: a) the flow in a smooth pipe; b) the flow, poured inside a pipe through the circle; c) the flow, poured inside a pipe through the ring. The model is investigated for different values of parameters Re (Reynolds number), G(swirl number) and A (vortex intensity). First Published Online: 14 Oct 2010
topic 2D problem
monotonous finite difference
finite difference method
Navier – Stokes equations
viscous fluid
monotonous finite difference schemes
url https://journals.vgtu.lt/index.php/MMA/article/view/7023
work_keys_str_mv AT harijskalis vorticalflowofincompressibleviscousfluidinfinitecylinder
AT ilmarskangro vorticalflowofincompressibleviscousfluidinfinitecylinder
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