Two-dimensional convection in a horizontal fluid layer with spatially periodic boundary temperatures |
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| Affiliation: | 1. Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh;2. Department of Computer Science and Engineering, Stamford University Bangladesh, Dhaka, Bangladesh;3. Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science and Technology University, Gopalganj, Bangladesh;4. Department of Applied Mathematics, Gono Bishwabidyalay, Dhaka, Bangladesh;5. Mathematics Discipline, Khulna University, Khulna, Bangladesh;6. Department of Quantitative Sciences, International University of Business Agriculture and Technology, Dhaka, Bangladesh;1. Department of Mechanical Engineering, College of Engineering, University of Basrah, Basrah, Iraq;2. Mechanical Engineering Department, College of Engineering and Petroleum, Kuwait University Sabah Al Salem University City, Kuwait;3. Department of Mechanical Engineering, University of Al-Qadisiyah, Al-Qadisiyah, Iraq;4. School of Engineering, Australian University, Safat, Kuwait;5. Department of Mechanical and Aerospace Engineering, Monash University, VIC 3800, Australia;1. Pediatric Service of Hospital “Miguel Pérez Carreñ, Caracas, Venezuela;2. Epilepsy Unit and Electroencephalography, El Tigre, Anzoátegui, Venezuela;3. Pediatric Service of Hospital ‘Felipe Guevara Rojas’, El Tigre, Anzoátegui, Venezuela;4. Department of Nursing, University of Valencia, Valencia, Spain |
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| Abstract: | Two-dimensional thermal convection in a fluid layer confined between two horizontal rigid walls kept at spatially periodic temperatures is investigated by direct numerical simulations. With increasing the Rayleigh number, convection evolves from a steady state to a temporally chaotic flow. It is observed that the transition to the chaos occurs via quasi-periodic states with two or three basic frequencies or via sequences of period-doubling bifurcations, according to the boundary temperature distributions. |
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