Stability of natural convection boundary layer flow on an evenly heated vertical plate

T. Aberra; S. W. Armfield; M. Behnia; G. D. McBain

doi:10.1063/1.2204541

Stability of natural convection boundary layer flow on an evenly heated vertical plate

T. Aberra^*, S. W. Armfield, M. Behnia, G. D. McBain

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

2 Citations (Scopus)

Abstract

Stability of natural convection flow adjacent to a vertical plate with uniform heat flux is studied using direct numerical simulation (DNS). Stability of the fully developed boundary layer is examined by adding a perturbation to the simulation in the region of the plate origin, with the resulting traveling waves tracked as they travel up the boundary layer. The approach allows the critical height on the plate at which the traveling waves become unstable to be identified, providing a critical Rayleigh number for the occurrence of instability in this flow. The full details available from the numerical solution also allow the phase speed and amplitude of the most unstable mode to be identified. Flow with Rayleigh number Ra = 1.0 × 10¹⁰ and Prandtl number Pr = 6.7 is studied. Finally the DNS results are compared with the results obtained using the conventional linearized stability analysis.

Original language	English
Title of host publication	Flow Dynamics
Subtitle of host publication	the Second International Conference on Flow Dynamics
Place of Publication	Melville, NY
Publisher	AIP Publishing
Pages	456-460
Number of pages	5
Volume	832
ISBN (Print)	0735403244, 9780735403246
DOIs	https://doi.org/10.1063/1.2204541
Publication status	Published - 5 May 2006
Externally published	Yes
Event	FLOW DYNAMICS: The Second International Conference on Flow Dynamics - Sendai, Japan Duration: 16 Nov 2005 → 18 Nov 2005

Other

Other	FLOW DYNAMICS: The Second International Conference on Flow Dynamics
Country/Territory	Japan
City	Sendai
Period	16/11/05 → 18/11/05

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10.1063/1.2204541

Cite this

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title = "Stability of natural convection boundary layer flow on an evenly heated vertical plate",

abstract = "Stability of natural convection flow adjacent to a vertical plate with uniform heat flux is studied using direct numerical simulation (DNS). Stability of the fully developed boundary layer is examined by adding a perturbation to the simulation in the region of the plate origin, with the resulting traveling waves tracked as they travel up the boundary layer. The approach allows the critical height on the plate at which the traveling waves become unstable to be identified, providing a critical Rayleigh number for the occurrence of instability in this flow. The full details available from the numerical solution also allow the phase speed and amplitude of the most unstable mode to be identified. Flow with Rayleigh number Ra = 1.0 × 1010 and Prandtl number Pr = 6.7 is studied. Finally the DNS results are compared with the results obtained using the conventional linearized stability analysis.",

author = "T. Aberra and Armfield, {S. W.} and M. Behnia and McBain, {G. D.}",

year = "2006",

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doi = "10.1063/1.2204541",

language = "English",

isbn = "0735403244",

volume = "832",

pages = "456--460",

booktitle = "Flow Dynamics",

publisher = "AIP Publishing",

note = "FLOW DYNAMICS: The Second International Conference on Flow Dynamics ; Conference date: 16-11-2005 Through 18-11-2005",

}

Aberra, T, Armfield, SW, Behnia, M & McBain, GD 2006, Stability of natural convection boundary layer flow on an evenly heated vertical plate. in Flow Dynamics: the Second International Conference on Flow Dynamics. vol. 832, AIP Publishing, Melville, NY, pp. 456-460, FLOW DYNAMICS: The Second International Conference on Flow Dynamics, Sendai, Japan, 16/11/05. https://doi.org/10.1063/1.2204541

Stability of natural convection boundary layer flow on an evenly heated vertical plate. / Aberra, T.; Armfield, S. W.; Behnia, M. et al.
Flow Dynamics: the Second International Conference on Flow Dynamics. Vol. 832 Melville, NY: AIP Publishing, 2006. p. 456-460.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

TY - GEN

T1 - Stability of natural convection boundary layer flow on an evenly heated vertical plate

AU - Aberra, T.

AU - Armfield, S. W.

AU - Behnia, M.

AU - McBain, G. D.

PY - 2006/5/5

Y1 - 2006/5/5

N2 - Stability of natural convection flow adjacent to a vertical plate with uniform heat flux is studied using direct numerical simulation (DNS). Stability of the fully developed boundary layer is examined by adding a perturbation to the simulation in the region of the plate origin, with the resulting traveling waves tracked as they travel up the boundary layer. The approach allows the critical height on the plate at which the traveling waves become unstable to be identified, providing a critical Rayleigh number for the occurrence of instability in this flow. The full details available from the numerical solution also allow the phase speed and amplitude of the most unstable mode to be identified. Flow with Rayleigh number Ra = 1.0 × 1010 and Prandtl number Pr = 6.7 is studied. Finally the DNS results are compared with the results obtained using the conventional linearized stability analysis.

AB - Stability of natural convection flow adjacent to a vertical plate with uniform heat flux is studied using direct numerical simulation (DNS). Stability of the fully developed boundary layer is examined by adding a perturbation to the simulation in the region of the plate origin, with the resulting traveling waves tracked as they travel up the boundary layer. The approach allows the critical height on the plate at which the traveling waves become unstable to be identified, providing a critical Rayleigh number for the occurrence of instability in this flow. The full details available from the numerical solution also allow the phase speed and amplitude of the most unstable mode to be identified. Flow with Rayleigh number Ra = 1.0 × 1010 and Prandtl number Pr = 6.7 is studied. Finally the DNS results are compared with the results obtained using the conventional linearized stability analysis.

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SN - 9780735403246

VL - 832

SP - 456

EP - 460

BT - Flow Dynamics

PB - AIP Publishing

CY - Melville, NY

T2 - FLOW DYNAMICS: The Second International Conference on Flow Dynamics

Y2 - 16 November 2005 through 18 November 2005

ER -

Stability of natural convection boundary layer flow on an evenly heated vertical plate

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