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Similarity solutions of a Blasius flow with variable fluid properties and viscous dissipation

Kromer, Christian 1; Schwitzke, Corina 1; Bauer, Hans-Jörg 1
1 Institut für Thermische Strömungsmaschinen (ITS), Karlsruher Institut für Technologie (KIT)

Abstract (englisch):

An analytical model of the Blasius flow is studied including temperature-dependent fluid properties and viscous dissipation. The friction coefficient and Nusselt number at the wall are calculated from the resulting dimensionless velocity and temperature fields. The variable properties model is compared to a constant properties model to verify if and under which conditions this simplification is valid. Air, water and oil are analyzed as fluids over a representative operating regime, respectively. For air, the variable properties do not influence the friction coefficient and the Nusselt number. For water, the influence of the variable properties is present for both parameters but limited since no large temperature difference can occur in water without a phase change. New correlations for the friction coefficient and Nusselt number were derived for water and oil over a large range of operating conditions. Viscous dissipation does not significantly affect these parameters for air and water because of their relatively low Prandtl numbers. The high Prandtl number of oil in combination with a viscosity that is strongly decreasing with increasing temperature, leads to a more complex behavior. ... mehr

Verlagsausgabe §
DOI: 10.5445/IR/1000161560
Veröffentlicht am 21.08.2023
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Thermische Strömungsmaschinen (ITS)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2023
Sprache Englisch
Identifikator ISSN: 0947-7411, 1432-1181
KITopen-ID: 1000161560
Erschienen in Heat and Mass Transfer
Verlag Springer
Vorab online veröffentlicht am 16.08.2023
Nachgewiesen in Scopus
Web of Science
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