Chaotic phenomena of natural convection for water in a V-shaped enclosure

Bhowmick, S; Xu, F; Molla, MM; Saha, SC

Chaotic phenomena of natural convection for water in a V-shaped enclosure

Bhowmick, S Xu, F Molla, MM Saha, SC

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Publisher:: ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Publication Type:: Journal Article
Citation:: International Journal of Thermal Sciences, 2022, 176
Issue Date:: 2022-06-01

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Field	Value	Language
dc.contributor.author	Bhowmick, S
dc.contributor.author	Xu, F
dc.contributor.author	Molla, MM
dc.contributor.author	Saha, SC
dc.date.accessioned	2023-03-12T23:17:49Z
dc.date.available	2023-03-12T23:17:49Z
dc.date.issued	2022-06-01
dc.identifier.citation	International Journal of Thermal Sciences, 2022, 176
dc.identifier.issn	1290-0729
dc.identifier.issn	1778-4166
dc.identifier.uri	http://hdl.handle.net/10453/167100
dc.description.abstract	The changes from steady-state to chaotic natural convection in a V-shaped differentially heated enclosure have been studied numerically because of their importance in nature, such as in a river or lake. The finite volume method (FVM) is applied to simulate the Navier-Stokes and Energy equations with proper boundary conditions. The working fluid is considered water with the Prandtl number, Pr = 7.0 for various Rayleigh numbers ranging from Ra = 100 to 106 with a fixed aspect ratio, A = 0.5. A group of bifurcations in the transitional flow is investigated, including a Pitchfork and a Hopf bifurcations. The occurrence of Pitchfork bifurcation happens between Ra = 1.3 × 104 and 1.4 × 104 and of Hopf bifurcation happens between Ra = 1.6 × 105 and 1.7 × 105. Moreover, another bifurcation occurs between Ra = 2.6 × 105 and 2.7 × 105 for the changeover from intervallic state to chaotic state. Power spectral density of temperature time series, phase space trajectories, and the largest Lyapunov exponents of the unsteady chaotic flows are also investigated. Additionally, heat and mass transfer are measured and explained elaborately with physical significance.
dc.language	English
dc.publisher	ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
dc.relation.ispartof	International Journal of Thermal Sciences
dc.relation.isbasedon	10.1016/j.ijthermalsci.2022.107526
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0913 Mechanical Engineering, 0915 Interdisciplinary Engineering
dc.subject.classification	Mechanical Engineering & Transports
dc.title	Chaotic phenomena of natural convection for water in a V-shaped enclosure
dc.type	Journal Article
utslib.citation.volume	176
utslib.for	0102 Applied Mathematics
utslib.for	0913 Mechanical Engineering
utslib.for	0915 Interdisciplinary Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access	*
dc.date.updated	2023-03-12T23:17:46Z
pubs.publication-status	Published
pubs.volume	176

Abstract:

The changes from steady-state to chaotic natural convection in a V-shaped differentially heated enclosure have been studied numerically because of their importance in nature, such as in a river or lake. The finite volume method (FVM) is applied to simulate the Navier-Stokes and Energy equations with proper boundary conditions. The working fluid is considered water with the Prandtl number, Pr = 7.0 for various Rayleigh numbers ranging from Ra = 100 to 106 with a fixed aspect ratio, A = 0.5. A group of bifurcations in the transitional flow is investigated, including a Pitchfork and a Hopf bifurcations. The occurrence of Pitchfork bifurcation happens between Ra = 1.3 × 104 and 1.4 × 104 and of Hopf bifurcation happens between Ra = 1.6 × 105 and 1.7 × 105. Moreover, another bifurcation occurs between Ra = 2.6 × 105 and 2.7 × 105 for the changeover from intervallic state to chaotic state. Power spectral density of temperature time series, phase space trajectories, and the largest Lyapunov exponents of the unsteady chaotic flows are also investigated. Additionally, heat and mass transfer are measured and explained elaborately with physical significance.

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http://hdl.handle.net/10453/167100