Dynamics of the Wavy Film Down an Inclined Plane. V. Newtonian Orr-Sommerfeld Problem Revisited.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985858%3A_____%2F01%3A27013011" target="_blank" >RIV/67985858:_____/01:27013011 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Dynamics of the Wavy Film Down an Inclined Plane. V. Newtonian Orr-Sommerfeld Problem Revisited.
Original language description
Linear stability of the Newtonian film flow along an inclined plate is studied by treating the related 2D linearized equations of fluctuating motion (Orr-Sommerfeld). Quadratic character of the Orr-Sommerfeld (OS) equations and the corresponding multiplicity of solution (the regular and singular branch) is demonstrated. Region of validity of both the long-wave (20 terms) and short-wave (4 terms) analytic asymptotes to the regular branch is estimated by comparing it with numerical solution to the full Orr-Sommerfeld problem. In particular, the c1-stability criterion of the regular long-wave asymptote is confirmed. In addition to the basic wave characteristics of the inception region (celerity, growth rate, wavelength), the characteristics of the fluctuating wall shear rate are given.
Czech name
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Czech description
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Classification
Type
V<sub>x</sub> - Unclassified - Research report containing classified information
CEP classification
CI - Industrial chemistry and chemical engineering
OECD FORD branch
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Result continuities
Project
<a href="/en/project/IAA4072914" target="_blank" >IAA4072914: The Evolution of Surface Waves in Film Flow Down an Oscillating Inclined Plane</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2001
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Number of pages
25
Place of publication
Praha
Publisher/client name
Ústav chemických procesů AV ČR
Version
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