Thermal convection in inclined cylindrical containers

Olga Shishkina, Susanne Horn

Research output: Contribution to journalArticle

29 Citations (Scopus)
7 Downloads (Pure)

Abstract

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
JournalJournal of Fluid Mechanics
Volume790
Early online date11 Feb 2016
DOIs
Publication statusPublished - 10 Mar 2016
Externally publishedYes

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convection cells
Nusselt number
containers
free convection
Containers
convection
Rayleigh number
Prandtl number
direct numerical simulation
inclination
aspect ratio
Reynolds number
Direct numerical simulation
cells
Aspect ratio
Hot Temperature
Convection

Bibliographical note

Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

Keywords

  • Benard convection
  • Convection in cavities
  • Turbulent convection

Cite this

Thermal convection in inclined cylindrical containers. / Shishkina, Olga; Horn, Susanne.

In: Journal of Fluid Mechanics, Vol. 790, 10.03.2016.

Research output: Contribution to journalArticle

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N2 - 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.

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