Centrifugal buoyancy driven turbulent convection in a thin cylindrical shell

Amirreza Rouhi, Daniel Chung, Ivan Marusic, Detlef Lohse, Chao Sun

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

Abstract

Centrifugal buoyancy driven convection is closely related to Rayleigh–Bénard convection, and offers another approach to the ultimate regime of thermal convection. Here, we perform direct numerical simulations (DNSs) of centrifugal convection in a cylindrical shell rotating about its axis at constant angular velocity. The walls undergo solid-body rotation, and the flow is purely driven by the temperature difference between the cold inner wall and the hot outer wall. We invoke the thin-shell limit where radial variations in centrifugal acceleration can be neglected. The Prandtl number is 0.7 corresponding to air. For this setup we have two input parameters: 1) the Rayleigh number Ra characterising the driving by centrifugal (buoyancy) effect, and 2) the Rossby number Ro characterising the Coriolis effect. Here, we vary Ra from 107 to 1010, and the inverse Rossby number Ro−1 from 0 (no rotation) to 1. We find that the flow dynamics is subjected to an interplay between the driving buoyancy force and the stabilising Coriolis force, similar to that of Chong et al. (Phys. Rev. Lett., vol. 119, 2017, 064501), but with an important difference owing to the different axis of rotation. Instead of the formation of highly coherent plume-like structures at optimal condition that maximises heat transport, here, the formation of strong bidirectional wind at optimal condition (Roopt1 ≈ 0.8) minimises heat transport. By increasing Ra at Roopt1, the mean flow approaches the Prandtl–von Kármán (logarithmic) behaviour, yet full collapse on the logarithmic law is not reached at Ra = 1010.

Original languageEnglish
Title of host publicationProceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018
EditorsTimothy C.W. Lau, Richard M. Kelso
PublisherAustralasian Fluid Mechanics Society
ISBN (Electronic)9780646597843
Publication statusPublished - 1 Jan 2018
Event21st Australasian Fluid Mechanics Conference, AFMC 2018 - Adelaide Convention Centre, Adelaide, Australia
Duration: 10 Dec 201813 Dec 2018
Conference number: 21

Conference

Conference21st Australasian Fluid Mechanics Conference, AFMC 2018
Abbreviated titleAFMC 2018
CountryAustralia
CityAdelaide
Period10/12/1813/12/18

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Buoyancy
Coriolis force
Prandtl number
Direct numerical simulation
Angular velocity
Convection
Air
Hot Temperature
Temperature

Cite this

Rouhi, A., Chung, D., Marusic, I., Lohse, D., & Sun, C. (2018). Centrifugal buoyancy driven turbulent convection in a thin cylindrical shell. In T. C. W. Lau, & R. M. Kelso (Eds.), Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018 [154054] Australasian Fluid Mechanics Society.
Rouhi, Amirreza ; Chung, Daniel ; Marusic, Ivan ; Lohse, Detlef ; Sun, Chao. / Centrifugal buoyancy driven turbulent convection in a thin cylindrical shell. Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018. editor / Timothy C.W. Lau ; Richard M. Kelso. Australasian Fluid Mechanics Society, 2018.
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abstract = "Centrifugal buoyancy driven convection is closely related to Rayleigh–B{\'e}nard convection, and offers another approach to the ultimate regime of thermal convection. Here, we perform direct numerical simulations (DNSs) of centrifugal convection in a cylindrical shell rotating about its axis at constant angular velocity. The walls undergo solid-body rotation, and the flow is purely driven by the temperature difference between the cold inner wall and the hot outer wall. We invoke the thin-shell limit where radial variations in centrifugal acceleration can be neglected. The Prandtl number is 0.7 corresponding to air. For this setup we have two input parameters: 1) the Rayleigh number Ra characterising the driving by centrifugal (buoyancy) effect, and 2) the Rossby number Ro characterising the Coriolis effect. Here, we vary Ra from 107 to 1010, and the inverse Rossby number Ro−1 from 0 (no rotation) to 1. We find that the flow dynamics is subjected to an interplay between the driving buoyancy force and the stabilising Coriolis force, similar to that of Chong et al. (Phys. Rev. Lett., vol. 119, 2017, 064501), but with an important difference owing to the different axis of rotation. Instead of the formation of highly coherent plume-like structures at optimal condition that maximises heat transport, here, the formation of strong bidirectional wind at optimal condition (Ro−opt1 ≈ 0.8) minimises heat transport. By increasing Ra at Ro−opt1, the mean flow approaches the Prandtl–von K{\'a}rm{\'a}n (logarithmic) behaviour, yet full collapse on the logarithmic law is not reached at Ra = 1010.",
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Rouhi, A, Chung, D, Marusic, I, Lohse, D & Sun, C 2018, Centrifugal buoyancy driven turbulent convection in a thin cylindrical shell. in TCW Lau & RM Kelso (eds), Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018., 154054, Australasian Fluid Mechanics Society, 21st Australasian Fluid Mechanics Conference, AFMC 2018, Adelaide, Australia, 10/12/18.

Centrifugal buoyancy driven turbulent convection in a thin cylindrical shell. / Rouhi, Amirreza; Chung, Daniel; Marusic, Ivan; Lohse, Detlef; Sun, Chao.

Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018. ed. / Timothy C.W. Lau; Richard M. Kelso. Australasian Fluid Mechanics Society, 2018. 154054.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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N2 - Centrifugal buoyancy driven convection is closely related to Rayleigh–Bénard convection, and offers another approach to the ultimate regime of thermal convection. Here, we perform direct numerical simulations (DNSs) of centrifugal convection in a cylindrical shell rotating about its axis at constant angular velocity. The walls undergo solid-body rotation, and the flow is purely driven by the temperature difference between the cold inner wall and the hot outer wall. We invoke the thin-shell limit where radial variations in centrifugal acceleration can be neglected. The Prandtl number is 0.7 corresponding to air. For this setup we have two input parameters: 1) the Rayleigh number Ra characterising the driving by centrifugal (buoyancy) effect, and 2) the Rossby number Ro characterising the Coriolis effect. Here, we vary Ra from 107 to 1010, and the inverse Rossby number Ro−1 from 0 (no rotation) to 1. We find that the flow dynamics is subjected to an interplay between the driving buoyancy force and the stabilising Coriolis force, similar to that of Chong et al. (Phys. Rev. Lett., vol. 119, 2017, 064501), but with an important difference owing to the different axis of rotation. Instead of the formation of highly coherent plume-like structures at optimal condition that maximises heat transport, here, the formation of strong bidirectional wind at optimal condition (Ro−opt1 ≈ 0.8) minimises heat transport. By increasing Ra at Ro−opt1, the mean flow approaches the Prandtl–von Kármán (logarithmic) behaviour, yet full collapse on the logarithmic law is not reached at Ra = 1010.

AB - Centrifugal buoyancy driven convection is closely related to Rayleigh–Bénard convection, and offers another approach to the ultimate regime of thermal convection. Here, we perform direct numerical simulations (DNSs) of centrifugal convection in a cylindrical shell rotating about its axis at constant angular velocity. The walls undergo solid-body rotation, and the flow is purely driven by the temperature difference between the cold inner wall and the hot outer wall. We invoke the thin-shell limit where radial variations in centrifugal acceleration can be neglected. The Prandtl number is 0.7 corresponding to air. For this setup we have two input parameters: 1) the Rayleigh number Ra characterising the driving by centrifugal (buoyancy) effect, and 2) the Rossby number Ro characterising the Coriolis effect. Here, we vary Ra from 107 to 1010, and the inverse Rossby number Ro−1 from 0 (no rotation) to 1. We find that the flow dynamics is subjected to an interplay between the driving buoyancy force and the stabilising Coriolis force, similar to that of Chong et al. (Phys. Rev. Lett., vol. 119, 2017, 064501), but with an important difference owing to the different axis of rotation. Instead of the formation of highly coherent plume-like structures at optimal condition that maximises heat transport, here, the formation of strong bidirectional wind at optimal condition (Ro−opt1 ≈ 0.8) minimises heat transport. By increasing Ra at Ro−opt1, the mean flow approaches the Prandtl–von Kármán (logarithmic) behaviour, yet full collapse on the logarithmic law is not reached at Ra = 1010.

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Rouhi A, Chung D, Marusic I, Lohse D, Sun C. Centrifugal buoyancy driven turbulent convection in a thin cylindrical shell. In Lau TCW, Kelso RM, editors, Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018. Australasian Fluid Mechanics Society. 2018. 154054