Reduction of the mathematical model of liquid flow within an instability

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F19%3APU131790" target="_blank" >RIV/00216305:26210/19:PU131790 - isvavai.cz</a>

Výsledek na webu

<a href="https://iopscience.iop.org/article/10.1088/1755-1315/240/7/072026" target="_blank" >https://iopscience.iop.org/article/10.1088/1755-1315/240/7/072026</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1755-1315/240/7/072026" target="_blank" >10.1088/1755-1315/240/7/072026</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Reduction of the mathematical model of liquid flow within an instability

Popis výsledku v původním jazyce

The instability of stationary vortex structures is manifested by an oscillation at several fundamental frequencies which are associated with characteristic shapes. It is caused by the non-linear convective terms in the Navier-Stokes equations. The frequency of unstable oscillation can be detected by the Fourier transform of the velocity and the pressure field themselves or their constitutive modes. It is this knowledge of the constitutive modes that is the basis for using the inverse method to define a reduced mathematical model in a finite-dimensional space. This model allows to analyze the vortex structures in the region of instability and their dependence on inhomogeneous boundary conditions. Present paper describes the essential steps of deriving an inverse method. The inverse method is applied to fluid flow in the draft tube of a swirl generator. The dynamic mode decomposition and the discrete Fourier transform of the flow field are assessed as possible methods that can provide the modal and spectral matrix for the model.

Název v anglickém jazyce

Reduction of the mathematical model of liquid flow within an instability

Popis výsledku anglicky

The instability of stationary vortex structures is manifested by an oscillation at several fundamental frequencies which are associated with characteristic shapes. It is caused by the non-linear convective terms in the Navier-Stokes equations. The frequency of unstable oscillation can be detected by the Fourier transform of the velocity and the pressure field themselves or their constitutive modes. It is this knowledge of the constitutive modes that is the basis for using the inverse method to define a reduced mathematical model in a finite-dimensional space. This model allows to analyze the vortex structures in the region of instability and their dependence on inhomogeneous boundary conditions. Present paper describes the essential steps of deriving an inverse method. The inverse method is applied to fluid flow in the draft tube of a swirl generator. The dynamic mode decomposition and the discrete Fourier transform of the flow field are assessed as possible methods that can provide the modal and spectral matrix for the model.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20301 - Mechanical engineering

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

IOP Conference Series: Earth and Environmental Science

ISBN

—

ISSN

1755-1315

e-ISSN

—

Počet stran výsledku

10

Strana od-do

1-10

Název nakladatele

Neuveden

Místo vydání

neuveden

Místo konání akce

Kyoto

Datum konání akce

17. 9. 2018

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000560282602074