Aplikace termodynamické stability na modelování turbulentního proudění

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Application of Thermodynamic Stability Condition to the Modelling of Turbulent Channel Flow

Popis výsledku v původním jazyce

A modification of Ljapunov stability theory is used for the derivation of thermodynamic stability condition. The axiom of maximum probability is equivalent to the statement that entropy come to its maxima in every material point for locally equilibrium state. The extremal condition can be interpreted as the stability condition with respect to small fluctuations. For the fluid with convection the total enthalpy is used. The total enthalpy reaches it's minimum in every material point in local equilibriumstate. After the neglection of the influence of the temperature and external volume forces it can be shown that the material derivative of turbulent kinetic energy must be non-possitive. The condition of the non-positivity of the material derivative of the kinetic energy is satisfied in the developed channel and pipe flows due to definition of these flows. Two new approches to the modelling of turbulent developed channel flows were derived.

Název v anglickém jazyce

Application of Thermodynamic Stability Condition to the Modelling of Turbulent Channel Flow

Popis výsledku anglicky

A modification of Ljapunov stability theory is used for the derivation of thermodynamic stability condition. The axiom of maximum probability is equivalent to the statement that entropy come to its maxima in every material point for locally equilibrium state. The extremal condition can be interpreted as the stability condition with respect to small fluctuations. For the fluid with convection the total enthalpy is used. The total enthalpy reaches it's minimum in every material point in local equilibriumstate. After the neglection of the influence of the temperature and external volume forces it can be shown that the material derivative of turbulent kinetic energy must be non-possitive. The condition of the non-positivity of the material derivative of the kinetic energy is satisfied in the developed channel and pipe flows due to definition of these flows. Two new approches to the modelling of turbulent developed channel flows were derived.

Druh

D - Stať ve sborníku

CEP obor

BK - Mechanika tekutin

OECD FORD obor

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Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2003

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Proceedings of Workshop 2003 (online)

ISBN

80-01-02708-2

ISSN

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e-ISSN

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Počet stran výsledku

2

Strana od-do

664-665

Název nakladatele

ČVUT

Místo vydání

Praha

Místo konání akce

Praha

Datum konání akce

10. 2. 2003

Typ akce podle státní příslušnosti

EUR - Evropská akce

Kód UT WoS článku

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