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The Influence of the Angle between the Wind and the Isothermal Surfaces on the Boundary Layer Structures in Turbulent Thermal Convection

Shishkina, Olga and Wagner, Sebastian and Horn, Susanne (2014) The Influence of the Angle between the Wind and the Isothermal Surfaces on the Boundary Layer Structures in Turbulent Thermal Convection. Physical Review E, 89 (03), pp. 1-6. American Physical Society. DOI: 10.1103/PhysRevE.89.033014 ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.89.033014

Abstract

We derive the asymptotes for the ratio of the thermal to viscous boundary layer thicknesses for infinite and infinitesimal Prandtl numbers Pr as functions of the angle β between the large-scale circulation and an isothermal heated or cooled surface for the case of turbulent thermal convection with laminar-like boundary layers. For this purpose, we apply the Falkner-Skan ansatz,which is a generalization of the Prandtl-Blasius one to a nonhorizontal free-stream flow above the viscous boundary layer. Based on our direct numerical simulations (DNS) of turbulent Rayleigh-B´enard convection for Pr = 0.1, 1, and 10 and moderate Rayleigh numbers up to 10^8 we evaluate the value of β that is found to be around 0.7π for all investigated cases. Our theoretical predictions for the boundary layer thicknesses for this β and the considered Pr are in good agreement with the DNS results.

Item URL in elib:https://elib.dlr.de/83697/
Document Type:Article
Additional Information:Paper: 033014
Title:The Influence of the Angle between the Wind and the Isothermal Surfaces on the Boundary Layer Structures in Turbulent Thermal Convection
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Shishkina, OlgaOlga.Shishkina (at) dlr.deUNSPECIFIED
Wagner, SebastianSebastian.Wagner (at) DLR.deUNSPECIFIED
Horn, SusanneSusanne.Horn (at) dlr.deUNSPECIFIED
Date:2014
Journal or Publication Title:Physical Review E
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
Volume:89
DOI :10.1103/PhysRevE.89.033014
Page Range:pp. 1-6
Publisher:American Physical Society
ISSN:1539-3755
Status:Published
Keywords:turbulent thermal convection, boundary layers
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 - Project Next Generation Train II (old)
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Fluid Systems
Deposited By: Shishkina, PD Dr. habil. Olga
Deposited On:03 Apr 2014 13:49
Last Modified:16 Feb 2016 05:04

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