Publication detail
Solution of Navier-Stokes equations with Large Deformation of Boundaries
POCHYLÝ, F. FIALOVÁ, S. HABÁN, V.
Czech title
Řešení Navier Stokesových rovnic s velkou deformací hranice
English title
Solution of Navier-Stokes equations with Large Deformation of Boundaries
Type
conference paper
Language
en
Original abstract
The solution of liquid flow with the moving boundary has many technical applications – for example the flow in the diaphragm pump, in the plunger pump, in the human heart and many other examples of unsteady movement of the elastic or stiff body in a liquid. The liquid flow induced by the unsteady movement of the boundary is presented in the paper. The flow description comes out from the Euler field conception, so the velocity vector and the pressure depend both on the spatial Cartesian coordinate and on time. The problem becomes more difficult, when time dependent movement of boundaries is assumed. The shape is generally changed in time and the coordinates xi that describe the boundary shape are function of time as well.
Czech abstract
Řešení proudění s pohyblivou hranicí má velké množství technických aplikací například popis proudění v membránovém čerpadle, v lidském srdci a mnoho dalších případů nestacionárního pohybu pružného nebo pevného tělesa v kapalině. V článku je popsáno proudění kapaliny vyvolané nestacionárním pohybem hranice. Popis proudění vychází z Eulerovy koncepce, tedy z toho, že jak vektor rychlostí tak tlak závisejí na čase a prostorové Kartézské souřadnici. Případ se stane mnohem složitějším, jestliže je předpokládána časová závislost pohybu hranice. Tvar se obecně mění v čase a souřadnice xi , které popisují tvar hranice, jsou také časově závislé.
English abstract
The solution of liquid flow with the moving boundary has many technical applications – for example the flow in the diaphragm pump, in the plunger pump, in the human heart and many other examples of unsteady movement of the elastic or stiff body in a liquid. The liquid flow induced by the unsteady movement of the boundary is presented in the paper. The flow description comes out from the Euler field conception, so the velocity vector and the pressure depend both on the spatial Cartesian coordinate and on time. The problem becomes more difficult, when time dependent movement of boundaries is assumed. The shape is generally changed in time and the coordinates xi that describe the boundary shape are function of time as well.
Keywords in Czech
Navier-Stokesova rovnice
Keywords in English
Navier-Stokes equations
RIV year
2004
Released
09.07.2004
Publisher
E. DE LANGRE & F. AXISA
Location
Paris, France
ISBN
2-7302-1142-X
Book
Flow-Induced Vibration Volume Il
Pages from–to
123–127
Pages count
5
BIBTEX
@inproceedings{BUT14281,
author="František {Pochylý} and Simona {Fialová} and Vladimír {Habán},
title="Solution of Navier-Stokes equations with Large Deformation of Boundaries",
booktitle="Flow-Induced Vibration Volume Il",
year="2004",
month="July",
pages="123--127",
publisher="E. DE LANGRE & F. AXISA",
address="Paris, France",
isbn="2-7302-1142-X"
}