Publication detail

Reduction of the mathematical model of liquid flow within an instability

POCHYLÝ, F. URBAN, O. FIALOVÁ, S.

Original Title

Reduction of the mathematical model of liquid flow within an instability

Type

conference paper

Language

English

Original Abstract

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.

Keywords

mathematical model, liquid flow

Authors

POCHYLÝ, F.; URBAN, O.; FIALOVÁ, S.

Released

28. 3. 2019

ISBN

1755-1315

Periodical

IOP Conference Series: Earth and Environmental Science

Year of study

240

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1

Pages to

10

Pages count

10

URL

https://iopscience.iop.org/article/10.1088/1755-1315/240/7/072026

BibTex

@inproceedings{BUT156445,
  author="František {Pochylý} and Ondřej {Urban} and Simona {Fialová}",
  title="Reduction of the mathematical model of liquid flow within an instability",
  booktitle="IOP Conference Series: Earth and Environmental Science",
  year="2019",
  journal="IOP Conference Series: Earth and Environmental Science",
  volume="240",
  pages="1--10",
  doi="10.1088/1755-1315/240/7/072026",
  issn="1755-1315",
  url="https://iopscience.iop.org/article/10.1088/1755-1315/240/7/072026"
}