Abstract
Similarity equations relating to steady and unsteady vortices in a stratified atmosphere are shown to possess more general solutions than hitherto reported. Solutions with n cells, where n = 1,2,3, ..., are possible such that the axial and radial velocities tend to zero far from the axis of the vortex. For solutions with a finite number of cells, far from the axis the radial mass flow is directed towards the axis, with the exception of a subclass of solutions relating to one-cell and two-cell vortices associated with the unsteady configuration where the radial velocity is directed outwards.
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Sozou, C. Similarity vortices in a stratified atmosphere. Boundary-Layer Meteorol 55, 207–226 (1991). https://doi.org/10.1007/BF00122578
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DOI: https://doi.org/10.1007/BF00122578