National Taiwan Ocean University Institutional Repository:Item 987654321/49993
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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/49993

Title: Study of cellular flow structure and pitchfork bifurcation in a laterally-heated cube
Authors: R. K. Lin
W. H. Sheu
Contributors: 國立臺灣海洋大學:輪機工程學系
Keywords: Three-dimensional
Nonlinear system
Pitchfork bifurcation
Quasi-periodic bifurcation
Hopf bifurcation
Cellular flow
Date: 2015-04
Issue Date: 2018-09-07
Publisher: International Journal of Heat and Mass Transfer
Abstract: Abstract: This paper is the continuation of our study of flow development from a motionless conductive state in a thermally driven cavity. A series of complex nonlinear bifurcations was addressed in a three-dimensional partially heated rectangular cavity. Prior to chaos, the dynamic phenomena in the investigated nonlinear system include pitchfork bifurcation, Hopf bifurcation, periodic ultraharmonics, and quasi-periodic bifurcation. In this study the formation of different cellular flow structures and the scenario of pitchfork bifurcation are addressed. The solutions for the incompressible fluid flow investigated at different Rayleigh numbers are computed from the divergence-free compensated solution algorithm and the wavenumber-optimized upwinding scheme for accurately approximating the convection terms. The three-dimensional cellular flow details and the physically meaningful vortical flow insight are extracted to improve our understanding of the change of three-dimensional vortical and cellular flow features with respect to the Rayleigh number in the thermal driven cavity.
Relation: 83 pp.39-50
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/49993
Appears in Collections:[Department of Marine Engineering] Periodical Articles

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