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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Vilnius Gediminas Technical University
2008-09-01
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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
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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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1721331968784728064 |