Stability of natural convection in an inclined square duct with perfectly conducting side walls |
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| Affiliation: | 1. Nuclear Engineering Department, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan;2. Department of Nuclear, Plasma and Radiological Engineering, University of Illinois at Urbana-Champaign, 216 Talbot Laboratory, 104 S. Wright St., Urbana, IL 61801, USA;3. Portland Technology Development, Intel Corporation, 2501 NW 229th Ave Hillsboro OR 97124, USA;1. Vattenfall Nuclear Fuel, Sweden;2. Westinghouse Electric, Sweden;1. The Sheard Lab, Department of Mechanical and Aerospace Engineering, Monash University, VIC 3800, Australia;2. Laboratory for Dynamic Imaging, Monash University, Melbourne, VIC 3800, Australia;1. Key Laboratory for Power Machinery and Engineering of Ministry of Education, School of Mechanical Engineering, Shanghai Jiao Tong University, 200240 Shanghai, China;2. School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore |
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| Abstract: | We have performed three-dimensional linear stability analyses for natural convection in an inclined square duct. The duct is heated from the bottom, while the lateral walls are assumed to be perfectly thermal conducting. Three-dimensional transverse rolls whose axes are normal to the axis of the duct occur from the motionless state when the Rayleigh number exceeds a critical value and the duct is placed horizontally (θ = 0°). However, it is found that when the duct is placed inclined (θ = 0.01°), a two-dimensional longitudinal roll which is unchanged in the axis of the duct occurs and is stable if the Rayleigh number is small. |
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