TECHNICAL PAPERS: Natural and Mixed Convection

Spatial and Temporal Stabilities of Flow in a Natural Circulation Loop: Influences of Thermal Boundary Condition

[+] Author and Article Information
Y. Y. Jiang, M. Shoji

Department of Mechanical Engineering, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan

J. Heat Transfer 125(4), 612-623 (Jul 17, 2003) (12 pages) doi:10.1115/1.1571846 History: Received April 29, 2002; Revised March 05, 2003; Online July 17, 2003
Copyright © 2003 by ASME
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Grahic Jump Location
Schematic configuration of a natural circulation loop and its coordinate system (r,φ,θ)
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Velocity and temperature fields of the basic flow; In each graph the right half shows streamlines ψ, and velocity components (u,w), while the left one shows isotherms (solid and broken lines correspond to positive and negative values, respectively)
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Transitions of flow behavior as functions of δ and Ra. The curves are fitted by numerical data; each designates a margin of its two neighboring domains.
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Typical decaying processes of perturbation about the steady flow (a) toward a node (b) toward a focus
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Two typical bifurcation routes predicted the model
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Trajectories of the flow at different Rayleigh number for δ=0.5
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Typical return maps of z in flows for δ=0.5: (a) Lorenz chaos, (b) periodic flow
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Trajectories of the flow at different Rayleigh number for δ=1
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Transition from Lorenz chaos to periodic cellular flow (Ra=1630, δ=0.86)



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