Journal article
Patterns of a slow air-water flow in a semispherical container
Department of Applied Mathematics and Computer Science, Technical University of Denmark1
Mathematics, Department of Applied Mathematics and Computer Science, Technical University of Denmark2
Office for Study Programmes and Student Affairs, Administration, Technical University of Denmark3
University of Seville4
Shtern Research and Consulting5
This numerical study analyzes the development of eddies in a slow steady axisymmetric air-water flow in a sealed semispherical container, driven by a rotating top disk. As the water height, Hw, increases, new flow cells emerge in both water and air. First, an eddy emerges near the axis-bottom intersection.
Then this eddy expands and reaches the interface, inducing a new cell in the air flow. This cell appears as a thin near-axis layer which then expands and occupies the entire air domain. As the disk rotation intensifies at Hw = 0.8, the new air cell shrinks to the axis and disappears. The bulk water circulation becomes separated from the interface by a thin layer of water counter-circulation.
These changes in the flow topology occur due to (a) competing effects of the air meridional flow and swirl, which drive meridional motions of opposite directions in water, and (b) feedback of water flow on the air flow. In contrast to flows in cylindrical and conical containers, there is no interaction with Moffatt corner vortices here.
Language: | English |
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Year: | 2016 |
Pages: | 1-8 |
ISSN: | 18737390 and 09977546 |
Types: | Journal article |
DOI: | 10.1016/j.euromechflu.2016.03.004 |
ORCIDs: | Brøns, Morten , 0000-0003-4771-7714 and 0000-0003-0388-8001 |