Influence of the angle between the wind and the isothermal surfaces on the boundary layer structures in turbulent thermal convection

Olga Shishkina, Sebastian Wagner, Susanne Horn

Research output: Contribution to journalArticle

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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-Bénard convection for Pr=0.1, 1, and 10 and moderate Rayleigh numbers up to 108 we evaluate the value of β that is found to be around 0.7πfor 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.
Original languageEnglish
Article number033014
Number of pages6
JournalPhysical Review E
Volume89
DOIs
Publication statusPublished - 21 Mar 2014
Externally publishedYes

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Thermal Convection
boundary layer thickness
direct numerical simulation
free convection
Boundary Layer
boundary layers
Angle
laminar boundary layer
asymptotes
free flow
Rayleigh number
Prandtl number
convection
Asymptote
predictions
Rayleigh
Convection
Influence
Evaluate
Prediction

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Influence of the angle between the wind and the isothermal surfaces on the boundary layer structures in turbulent thermal convection. / Shishkina, Olga; Wagner, Sebastian; Horn, Susanne.

In: Physical Review E, Vol. 89, 033014, 21.03.2014.

Research output: Contribution to journalArticle

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