Thermal convection in inclined cylindrical containers

Olga Shishkina, Susanne Horn

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By means of Direct Numerical Simulations (DNS) we investigate the effect of a tilt angle β, 0 6 β 6 π/2, of a Rayleigh–B´enard convection (RBC) cell of the aspect ratio 1, on the Nusselt number Nu and Reynolds number Re. The considered Rayleigh numbers Ra are from 106 to 108 and Prandtl numbers are from 0.1 to 100 and the total number of the studied cases is 108. We show that the Nu(β)/Nu(0) dependence is not universal and is strongly influenced by a combination of Ra and Pr . Thus, with a small inclination β of the RBC cell, the Nusselt number can decrease or increase, compared to that in the RBC case, for large and small Pr, respectively. A slight cell tilting may not only stabilise the plane of the large-scale circulation (LSC) but can also enforce one for cases when the preferred state in the perfect RBC case is not an LSC but a more complicated multiple roll state. Close to β = π/2, Nu and Re decrease with growing β in all considered cases.
Generally, the Nu(β)/Nu(0) dependence is a complicated, non-monotonic function of β.
Original languageEnglish
Article numberR3
JournalJournal of Fluid Mechanics
Early online date11 Feb 2016
Publication statusPublished - 10 Mar 2016
Externally publishedYes

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  • Benard convection
  • Convection in cavities
  • Turbulent convection


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