Publication result detail

A new form of equation for force determination based on Navier-Stokes equations

FIALOVÁ, S.; POCHYLÝ, F.; ŠEDIVÝ, D.

Original Title

A new form of equation for force determination based on Navier-Stokes equations

English Title

A new form of equation for force determination based on Navier-Stokes equations

Type

Paper in proceedings (conference paper)

Original Abstract

This work is focused on calculating the force effects of an incompressible homogeneous liquid on a surface of a rigid or a flexible tube. An unsteady flow induced by differential pressure at the beginning and at the end of the tube is assumed. The pressure difference for the unsteady flow is determined experimentally. The mathematical model is based on modified Navier-Stokes equations. The unsteady term is modified in order to be able to use the Gauss-Ostrogradsky theorem to calculate the force. This method of solution will allow the calculation of the force by integration of the Navier-Stokes equations, which will help to refine and simplify the calculations. In the article, both methods of force calculation will be presented and compared both through the ANSYS FEA and CFD ANSYS Fluent solvers and by the integration of the Navier-Stokes equation. The calculation will not only respect the compliance of the tube but also its movement status.

English abstract

This work is focused on calculating the force effects of an incompressible homogeneous liquid on a surface of a rigid or a flexible tube. An unsteady flow induced by differential pressure at the beginning and at the end of the tube is assumed. The pressure difference for the unsteady flow is determined experimentally. The mathematical model is based on modified Navier-Stokes equations. The unsteady term is modified in order to be able to use the Gauss-Ostrogradsky theorem to calculate the force. This method of solution will allow the calculation of the force by integration of the Navier-Stokes equations, which will help to refine and simplify the calculations. In the article, both methods of force calculation will be presented and compared both through the ANSYS FEA and CFD ANSYS Fluent solvers and by the integration of the Navier-Stokes equation. The calculation will not only respect the compliance of the tube but also its movement status.

Keywords

FSI, Navier-Stokes equations, flexible wall

Key words in English

FSI, Navier-Stokes equations, flexible wall

Authors

FIALOVÁ, S.; POCHYLÝ, F.; ŠEDIVÝ, D.

RIV year

2020

Released

12.11.2018

Publisher

EDP Sciences

Book

EPJ Web of Conferences

ISBN

2100-014X

Periodical

EPJ Web of Conferences

Volume

213

Number

1

State

French Republic

Pages from

1

Pages to

6

Pages count

6

URL

https://www.epj-conferences.org/articles/epjconf/abs/2019/18/epjconf_efm18_02018/epjconf_efm18_02018.html

Full text in the Digital Library

http://hdl.handle.net/11012/194234

BibTex

@inproceedings{BUT153418,
  author="Simona {Fialová} and František {Pochylý} and Dominik {Šedivý}",
  title="A new form of equation for force determination based on Navier-Stokes equations",
  booktitle="EPJ Web of Conferences",
  year="2018",
  journal="EPJ Web of Conferences",
  volume="213",
  number="1",
  pages="1--6",
  publisher="EDP Sciences",
  doi="10.1051/epjconf/201921302018",
  issn="2100-014X",
  url="https://www.epj-conferences.org/articles/epjconf/abs/2019/18/epjconf_efm18_02018/epjconf_efm18_02018.html"
}

Documents

EFM18_Proceedings_B5_148
epjconf_efm18_02018