Publication detail
On solution of laminar flow instability using Orr-Sommerfeld equation
KNOTEK, S. JÍCHA, M.
Czech title
Řešení nestability laminárního proudění pomocí Orrovy-Sommerfeldovy rovnice
English title
On solution of laminar flow instability using Orr-Sommerfeld equation
Type
journal article - other
Language
en
Original abstract
A special treatment of the boundary conditions for boundary value problem was used for solving the hydrodynamic instability problem described by the Orr-Sommerfeld equation. The procedure is based on the Chebyshev collocation method and was implemented in MATLAB. The results computed for the Poisseuille flow and for Blasius and Pohlhausen velocity profiles show a good agreement with the results reported in literature.
Czech abstract
Článek prezentuje speciální ošetření okrajových podmínek pro řešení okrajového problému hydrodynamické nestability popsaného Orrovou-Sommerfeldovou rovnicí. Procedura je založena na Čebyševově kolokační metodě a byla implementována v MATLABu. Výsledky spočtené pro Poisseuilleovo proudění a Blasiův a Pohlhausenův rychlostní profil vykazují dobrou shodu s literaturou.
English abstract
A special treatment of the boundary conditions for boundary value problem was used for solving the hydrodynamic instability problem described by the Orr-Sommerfeld equation. The procedure is based on the Chebyshev collocation method and was implemented in MATLAB. The results computed for the Poisseuille flow and for Blasius and Pohlhausen velocity profiles show a good agreement with the results reported in literature.
Keywords in English
collocation method, chebyshev polynomial, boundary-value problems, Orr-Sommerfeld equation, boundary layers, viscous fluids, hydrodynamic instability, laminar flow
RIV year
2011
Released
22.02.2011
Publisher
Institute of Thermomechanics, AS CR
Location
Praha
ISSN
0001-7043
Journal
Acta Technica ČSAV
Volume
2010
Number
4
Pages from–to
383–394
Pages count
12
BIBTEX
@article{BUT50240,
author="Stanislav {Knotek} and Miroslav {Jícha},
title="On solution of laminar flow instability using Orr-Sommerfeld equation",
journal="Acta Technica ČSAV",
year="2011",
volume="2010",
number="4",
month="February",
pages="383--394",
publisher="Institute of Thermomechanics, AS CR",
address="Praha",
issn="0001-7043"
}