Abstract
The three-dimensional unsteady viscous flow resulting from the interaction of a dissipating vortex with a plane rigid surface is considered. It is assumed that at the initial instant of time there exists a potential field of flow from a linear vortex filament perpendicular to the wall. Subsequently, the processes of vortex diffusion and the development of the induced boundary layer proceed simultaneously. The ratio of the circulation of the initial vortex 2πΓ to the kinematic viscosity coefficient of the mediumν (the Reynolds number of the problem) is assumed to be large. This makes it possible to use the method of matched asymptotic expansions for investigating the flow field. Since the problem has no characteristic linear dimension, the investigated flow field is self-similar. The most remarkable property of the solution obtained is the inevitability of boundary layer separation and the formation near the axis of symmetry of a very extensive “eye” with almost stationary fluid. This and certain other properties of the flow field in question are characteristic of existing descriptions of tornados.
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