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"
}