Local turbulent energy dissipation rate in an agitated vessel: New approach to dimensionless definition

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F17%3A00312009" target="_blank" >RIV/68407700:21220/17:00312009 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1134/S0040579517020105" target="_blank" >http://dx.doi.org/10.1134/S0040579517020105</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1134/S0040579517020105" target="_blank" >10.1134/S0040579517020105</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Local turbulent energy dissipation rate in an agitated vessel: New approach to dimensionless definition

Popis výsledku v původním jazyce

Using theory of turbulence, particularly using turbulence spectrum analysis, the relations epsilon(*) = epsilon/(u(4)/nu) = const., v(K)/u = const. and Lambda/eta(K) = const. were derived. Assuming that u proportional to(Nd) from this it follows that the widely used dimensionless local turbulent energy dissipation rate defined as epsilon/((N-3 d(2)) is directly proportional to impeller Reynolds number, i.e. epsilon/((N-3 d(2)) proportional to Re, and length scale ratio Lambda/d is indirectly proportional to impeller Reynolds number, i.e. Lambda/d proportional to Re-1, in an agitated vessel at high Reynolds number. The relations obtained by turbulence spectrum analysis were used for estimation of local turbulent energy dissipation rates experimentally measured by Stahl Wernersson and Tragardh (1998, 1999) covering the range of Re = 87600-910200 and own experimental data covering the range of Re = 50000-189000. The experiments have been performed in tanks of 300 mm and 400 mm in the inner diameter for three different viscosities and for various impeller rotational speeds.

Název v anglickém jazyce

Local turbulent energy dissipation rate in an agitated vessel: New approach to dimensionless definition

Popis výsledku anglicky

Using theory of turbulence, particularly using turbulence spectrum analysis, the relations epsilon(*) = epsilon/(u(4)/nu) = const., v(K)/u = const. and Lambda/eta(K) = const. were derived. Assuming that u proportional to(Nd) from this it follows that the widely used dimensionless local turbulent energy dissipation rate defined as epsilon/((N-3 d(2)) is directly proportional to impeller Reynolds number, i.e. epsilon/((N-3 d(2)) proportional to Re, and length scale ratio Lambda/d is indirectly proportional to impeller Reynolds number, i.e. Lambda/d proportional to Re-1, in an agitated vessel at high Reynolds number. The relations obtained by turbulence spectrum analysis were used for estimation of local turbulent energy dissipation rates experimentally measured by Stahl Wernersson and Tragardh (1998, 1999) covering the range of Re = 87600-910200 and own experimental data covering the range of Re = 50000-189000. The experiments have been performed in tanks of 300 mm and 400 mm in the inner diameter for three different viscosities and for various impeller rotational speeds.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20301 - Mechanical engineering

Projekt

<a href="/cs/project/GA16-20175S" target="_blank" >GA16-20175S: Lokální rychlost disipace turbulentní energie v dispersních systémech</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Theoretical Foundations of Chemical Engineering

ISSN

0040-5795

e-ISSN

1608-3431

Svazek periodika

51

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

RU - Ruská federace

Počet stran výsledku

16

Strana od-do

159-174

Kód UT WoS článku

000399957500005

EID výsledku v databázi Scopus

2-s2.0-85018591111