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Numerical simulation of turbulent duct flows with constant power input

Hasegawa, Yosuke; Quadrio, Maurizio; Frohnapfel, Bettina

The numerical simulation of a flow through a duct requires an externally specified forcing that makes the fluid flow against viscous friction. To this end, it is customary to enforce a constant value for either the flow rate (CFR) or the pressure gradient (CPG). When comparing a laminar duct flow before and after a geometrical modification that induces a change of the viscous drag, both approaches lead to a change of the power input across the comparison. Similarly, when carrying out direct numerical simulation or large-eddy simulation of unsteady turbulent flows, the power input is not constant over time. Carrying out a simulation at constant power input (CPI) is thus a further physically sound option, that becomes particularly appealing in the context of flow control, where a comparison between control-on and control-off conditions has to be made. We describe how to carry out a CPI simulation, and start with defining a new power-related Reynolds number, whose velocity scale is the bulk flow that can be attained with a given pumping power in the laminar regime. Under the CPI condition, we derive a relation that is equivalent to the Fukagata–I ... mehr

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DOI: 10.1017/jfm.2014.269
Zitationen: 12
Web of Science
Zitationen: 11
Seitenaufrufe: 102
seit 26.04.2018
Zugehörige Institution(en) am KIT Institut für Strömungsmechanik (ISTM)
Publikationstyp Zeitschriftenaufsatz
Jahr 2014
Sprache Englisch
Identifikator ISSN: 0022-1120
KITopen-ID: 1000047788
Erschienen in Journal of Fluid Mechanics
Band 750
Seiten 191-209
Nachgewiesen in Scopus
Web of Science
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