Moderately strong vorticity in a bathtub-type flow
نویسنده
چکیده
Theoretical and numerical analysis is performed for an inviscid axisymmetric vortical bathtubtype flow. The level of vorticity is kept high so that the image of the flow on the radial-axial plane (r-z plane) is not potential. The most significant findings are: 1) the region of validity of the strong vortex approximation is separated from the drain by a buffer region; 2) the powerlaw asymptote of the stream function, specified by ∆ψ ∼ r∆z, appears near the axis when vorticity in the flow is sufficiently strong and 3) the local Rossby number in the region of 4/3 power-law is not very sensitive to the changes of the initial vorticity level in the flow and the global Rossby number. Published: Theoret. Comput. Fluid Dynamics (2001) 14: 243257
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