Thermal convection in inclined cylindrical containers

Olga Shishkina; Susanne Horn

doi:10.1017/jfm.2016.55

Thermal convection in inclined cylindrical containers

Olga Shishkina, Susanne Horn

Research output: Contribution to journal › Article › peer-review

67 Citations (Scopus)

182 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 language	English
Article number	R3
Journal	Journal of Fluid Mechanics
Volume	790
Early online date	11 Feb 2016
DOIs	https://doi.org/10.1017/jfm.2016.55
Publication status	Published - 10 Mar 2016
Externally published	Yes

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

Access to Document

10.1017/jfm.2016.55

Post-PrintAccepted author manuscript, 4.69 MBLicence: Unspecified

Susanne Horn
- Research Centre for Fluid and Complex Systems - Professor of Numerical and Mathematical Fluid Dynamics
Person: Teaching and Research

Cite this

@article{3ed7fbd4194f4c0d95cc22035c8d8977,

title = "Thermal convection in inclined cylindrical containers",

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.",

keywords = "Benard convection, Convection in cavities, Turbulent convection",

author = "Olga Shishkina and Susanne Horn",

note = "Copyright {\textcopyright} 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. ",

year = "2016",

month = mar,

day = "10",

doi = "10.1017/jfm.2016.55",

language = "English",

volume = "790",

journal = "Journal of Fluid Mechanics",

issn = "0022-1120",

publisher = "Cambridge University Press",

}

TY - JOUR

T1 - Thermal convection in inclined cylindrical containers

AU - Shishkina, Olga

AU - Horn, Susanne

N1 - 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.

PY - 2016/3/10

Y1 - 2016/3/10

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.

AB - 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.

KW - Benard convection

KW - Convection in cavities

KW - Turbulent convection

U2 - 10.1017/jfm.2016.55

DO - 10.1017/jfm.2016.55

M3 - Article

SN - 0022-1120

VL - 790

JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

M1 - R3

ER -

Thermal convection in inclined cylindrical containers

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Profiles

Susanne Horn

Cite this