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KNOTEK, S. JÍCHA, M.
Original Title
On solution of laminar flow instability using Orr-Sommerfeld equation
Type
journal article - other
Language
English
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.
Keywords
collocation method, chebyshev polynomial, boundary-value problems, Orr-Sommerfeld equation, boundary layers, viscous fluids, hydrodynamic instability, laminar flow
Authors
KNOTEK, S.; JÍCHA, M.
RIV year
2011
Released
22. 2. 2011
Publisher
Institute of Thermomechanics, AS CR
Location
Praha
ISBN
0001-7043
Periodical
Acta Technica ČSAV
Year of study
2010
Number
4
State
Czech Republic
Pages from
383
Pages to
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", pages="383--394", issn="0001-7043" }