Occurrence of Taylor vortices in the flow between two rotating conical cylinders |
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| Institution: | 1. Department of Mathematics, Beijing University of Chemical Technology, Beijing 100029, PR China;2. Division of Molecular and Materials Simulation, Key Lab for Nanomaterials, Ministry of Education, Beijing University of Chemical Technology, Beijing 100029, PR China;1. Siberian Physical-Technical Institute of V.D. Kuznetsova, National Research Tomsk State University, Novosobornaya Sq. 1, Tomsk 634050, Russia;2. Dept de Física, Universitat de les Illes Balears, Cra. de Valldemossa, km 7.5, E07122 Palma de Mallorca, Spain;1. School of Mechanical Engineering, Shiraz University, Shiraz, Iran;2. Department of Mechanical and Aeronautical Engineering, Clarkson University, Potsdam, NY, USA;1. Departamento de Energía, Universidad Autónoma Metropolitana-Azcapotzalco, Av. San Pablo 180, Col. Reynosa Tamaulipas, Azcapotzalco, CDMX 02200, Mexico;2. Departamento de IPH, Universidad Autónoma Metropolitana-Iztapalapa, San Rafael Atlixco #186, Col. Vicentina, Iztapalapa, CDMX 09340, Mexico;3. CONACYT-Universidad Autónoma Metropolitana-Azcapotzalco, Av. San Pablo 180, Col. Reynosa Tamaulipas, Azcapotzalco, CDMX 02200, Mexico;4. Departamento de Bioprocesos y Bioingeniería, UPIBI-Instituto Politécnico Nacional, Av. Acueducto S/N, Barrio La Laguna Ticoman, Gustavo A Madero, CDMX 07340, Mexico;1. Vietnam National University, Hanoi, 144 Xuan Thuy, Cau Giay, Hanoi, Viet Nam;2. The University of Melbourne, Parkville 3010, VIC, Australia;3. Vietnam Mechanics Society, 264 Doi Can, Ba Dinh, Hanoi, Viet Nam |
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| Abstract: | The behavior of the flow between two coaxial conical cylinders with the inner one rotating and the outer one stationary is studied numerically. Special attention is paid to the occurrence of Taylor vortices in basic flow and unsteady helical vortices. It is found that, in basic flow, the vortices occur in the direction toward smaller radius, while toward bigger radius in unsteady helical vortices; moreover, the unsteady helical vortices can coexist with unstable steady Taylor vortices. The results suggest that the behavior of conical flow is dominated by a competition between the meridional flow and radial flow. The effect of meridional flow is most significant at small apex angle or in basic flow and helical vortices, while the radial flow dominates the structure at larger apex angle or in steady vortical flow. In order to get better understanding the competition and the transition of Taylor–Couette flow to conical flow, a velocity angle related to velocity components is defined, and the pattern evolution of velocity, streamlines and the velocity angle are examined with respect to apex angle, as well as Reynolds number. Finally, the statistical properties of turbulent conical flow are investigated. |
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