A comparison between Boussinesq and non-Boussinesq approximations for numerical simulation of natural convection in an annulus cavity

P. Mayeli; G. J. Sheard

A comparison between Boussinesq and non-Boussinesq approximations for numerical simulation of natural convection in an annulus cavity

P. Mayeli, G. J. Sheard

Mechanical & Aerospace Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

1 Citation (Scopus)

Abstract

Traditionally, the Boussinesq approximation is adopted for numerical simulation of natural convection phenomena where density variations are supposed negligible except through the gravity term of the momentum equation. In this study, a rather new formulation based on a non-Boussinesq approximation is presented in which the density variations are also considered in advection terms. The results of the proposed formulation is compared against Boussinesq simulation in a concentric horizontal annulus cavity in terms of average and local Nusselt number up to Ra = 10⁵. Results indicate that the classic Boussinesq approximation works accurately up to Ra = 10⁴ but at Ra = 10⁵ computed thermo-fluid parameters via the two approaches are not identical.

Original language	English
Title of host publication	Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018
Editors	Timothy C.W. Lau, Richard M. Kelso
Publisher	Australasian Fluid Mechanics Society
ISBN (Electronic)	9780646597843
Publication status	Published - 2018
Event	Australasian Fluid Mechanics Conference 2018 - Adelaide Convention Centre, Adelaide, Australia Duration: 10 Dec 2018 → 13 Dec 2018 Conference number: 21st http://www.afms.org.au/proceedings/21.html (Proceedings) https://aomevents.eventsair.com/QuickEventWebsitePortal/21st-australasian-fluid-mechanics-conference/afmc2018

Publication series

Name	Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018

Conference

Conference	Australasian Fluid Mechanics Conference 2018
Abbreviated title	AFMC 2018
Country/Territory	Australia
City	Adelaide
Period	10/12/18 → 13/12/18
Internet address	http://www.afms.org.au/proceedings/21.html (Proceedings) https://aomevents.eventsair.com/QuickEventWebsitePortal/21st-australasian-fluid-mechanics-conference/afmc2018

Cite this

Mayeli, P., & Sheard, G. J. (2018). A comparison between Boussinesq and non-Boussinesq approximations for numerical simulation of natural convection in an annulus cavity. In T. C. W. Lau, & R. M. Kelso (Eds.), Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018 (Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018). Australasian Fluid Mechanics Society.

Mayeli, P. ; Sheard, G. J. / A comparison between Boussinesq and non-Boussinesq approximations for numerical simulation of natural convection in an annulus cavity. Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018. editor / Timothy C.W. Lau ; Richard M. Kelso. Australasian Fluid Mechanics Society, 2018. (Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018).

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title = "A comparison between Boussinesq and non-Boussinesq approximations for numerical simulation of natural convection in an annulus cavity",

abstract = "Traditionally, the Boussinesq approximation is adopted for numerical simulation of natural convection phenomena where density variations are supposed negligible except through the gravity term of the momentum equation. In this study, a rather new formulation based on a non-Boussinesq approximation is presented in which the density variations are also considered in advection terms. The results of the proposed formulation is compared against Boussinesq simulation in a concentric horizontal annulus cavity in terms of average and local Nusselt number up to Ra = 105. Results indicate that the classic Boussinesq approximation works accurately up to Ra = 104 but at Ra = 105 computed thermo-fluid parameters via the two approaches are not identical.",

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booktitle = "Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018",

address = "Australia",

note = "Australasian Fluid Mechanics Conference 2018, AFMC 2018 ; Conference date: 10-12-2018 Through 13-12-2018",

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Mayeli, P & Sheard, GJ 2018, A comparison between Boussinesq and non-Boussinesq approximations for numerical simulation of natural convection in an annulus cavity. in TCW Lau & RM Kelso (eds), Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018. Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018, Australasian Fluid Mechanics Society, Australasian Fluid Mechanics Conference 2018, Adelaide, South Australia, Australia, 10/12/18.

A comparison between Boussinesq and non-Boussinesq approximations for numerical simulation of natural convection in an annulus cavity. / Mayeli, P.; Sheard, G. J.
Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018. ed. / Timothy C.W. Lau; Richard M. Kelso. Australasian Fluid Mechanics Society, 2018. (Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

TY - GEN

T1 - A comparison between Boussinesq and non-Boussinesq approximations for numerical simulation of natural convection in an annulus cavity

AU - Mayeli, P.

AU - Sheard, G. J.

N1 - Conference code: 21st

PY - 2018

Y1 - 2018

N2 - Traditionally, the Boussinesq approximation is adopted for numerical simulation of natural convection phenomena where density variations are supposed negligible except through the gravity term of the momentum equation. In this study, a rather new formulation based on a non-Boussinesq approximation is presented in which the density variations are also considered in advection terms. The results of the proposed formulation is compared against Boussinesq simulation in a concentric horizontal annulus cavity in terms of average and local Nusselt number up to Ra = 105. Results indicate that the classic Boussinesq approximation works accurately up to Ra = 104 but at Ra = 105 computed thermo-fluid parameters via the two approaches are not identical.

AB - Traditionally, the Boussinesq approximation is adopted for numerical simulation of natural convection phenomena where density variations are supposed negligible except through the gravity term of the momentum equation. In this study, a rather new formulation based on a non-Boussinesq approximation is presented in which the density variations are also considered in advection terms. The results of the proposed formulation is compared against Boussinesq simulation in a concentric horizontal annulus cavity in terms of average and local Nusselt number up to Ra = 105. Results indicate that the classic Boussinesq approximation works accurately up to Ra = 104 but at Ra = 105 computed thermo-fluid parameters via the two approaches are not identical.

UR - https://www.scopus.com/pages/publications/85084095555

M3 - Conference Paper

AN - SCOPUS:85084095555

T3 - Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018

BT - Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018

A2 - Lau, Timothy C.W.

A2 - Kelso, Richard M.

PB - Australasian Fluid Mechanics Society

T2 - Australasian Fluid Mechanics Conference 2018

Y2 - 10 December 2018 through 13 December 2018

ER -

Mayeli P, Sheard GJ. A comparison between Boussinesq and non-Boussinesq approximations for numerical simulation of natural convection in an annulus cavity. In Lau TCW, Kelso RM, editors, Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018. Australasian Fluid Mechanics Society. 2018. (Proceedings of the 21st Australasian Fluid Mechanics Conference, AFMC 2018).

A comparison between Boussinesq and non-Boussinesq approximations for numerical simulation of natural convection in an annulus cavity

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