Bifurcation and stability of forced convection in tightly coiled ducts: stability |
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| Affiliation: | 1. Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong;2. Center for Space Thermal Science, Shandong University, Jinan, P.R. China;1. LOMC, UMR 6294, CNRS-University of Le Havre, CS80540, F-76058 Le Havre Cedex, France;2. Department of Mechanical Engineering, Inha University, Incheon 402-751, Republic of Korea;1. Institute of Continuous Media Mechanics, Academician Korolev Street, 1, 614013, Perm, Russia;2. Perm State University, Bukireva Street, 15, 614990, Perm, Russia |
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| Abstract: | A numerical study is made on the stability of multiple steady flows and heat transfer in tightly coiled ducts by examining their responses to finite random disturbances. It is found that possible physically realizable fully developed flows evolve, as the Dean number increases, from a stable steady symmetric 2-cell flow at lower Dean numbers to a temporal periodic oscillation, a temporal intermittent oscillation, another temporal periodic oscillation, the co-existence of stable steady symmetric 2-cell flow and temporal oscillating flows (either periodic or aperiodic), and the co-existence of three stable steady 2-cell flows (either symmetric or asymmetric) and aperiodic oscillating flows. |
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