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On the applicability of Falkner-Skan boundary layer equations to turbulent thermal convection

Shishkina, Olga and Horn, Susanne and Wagner, Sebastian (2013) On the applicability of Falkner-Skan boundary layer equations to turbulent thermal convection. ETC14, 01. - 04. Sept. 2013, Lyon, France.

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Official URL: http://etc14.ens-lyon.fr

Abstract

To approximate main flow characteristics like the velocity or temperature within the boundary layers which appear in turbulent thermal convection at moderate Rayleigh numbers (up to 10^14), one can use the Falkner–Skan boundary layer equations, which are obtained through a generalization of the Prandtl–Blasius ansatz to a non-zero-pressure-gradient case. Within this approach we derive several theoretical estimates with respect to turbulent Rayleigh–Bénard convection and validate them against numerical results obtained in our Direct Numerical Simulations for the operating fluids water and air. In particular it is found that the Falkner–Skan approximation leads to more accurate estimates of the ratio of the thermal and viscous boundary layer thicknesses, compared to the Prandtl–Blasius approach.

Item URL in elib:https://elib.dlr.de/80990/
Document Type:Conference or Workshop Item (Speech)
Title:On the applicability of Falkner-Skan boundary layer equations to turbulent thermal convection
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Shishkina, OlgaOlga.Shishkina (at) dlr.deUNSPECIFIED
Horn, SusanneSusanne.Horn (at) dlr.deUNSPECIFIED
Wagner, SebastianSebastian.Wagner (at) dlr.deUNSPECIFIED
Date:2013
Refereed publication:No
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Page Range:pp. 1-2
Series Name:Conference Proceedings on USB Stick
Status:Published
Keywords:Turbulent thermal convection, boundary layers, Falkner-Skan approximation
Event Title:ETC14
Event Location:Lyon, France
Event Type:international Conference
Event Dates:01. - 04. Sept. 2013
Organizer:Euromech
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Transport
HGF - Program Themes:Terrestrial Vehicles (old)
DLR - Research area:Transport
DLR - Program:V BF - Bodengebundene Fahrzeuge
DLR - Research theme (Project):V - Projekt Next Generation Train (old)
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Fluid Systems
Deposited By: Shishkina, PD Dr. habil. Olga
Deposited On:18 Oct 2013 10:08
Last Modified:08 May 2014 23:16

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