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The eye of a tornado has a radius R. Find the variation of pressure in the flow field outside the eye if the maximum wind

The “eye” of a tornado has a radius R. Find the variation of pressure in the flow field outside the eye if the maximum wind velocity is v. Assume that the core or so-called eye of the tornado behaves closely to that of solid body rotation, while the flow outside the eye is well represented by a free vortex field. Neglect changes of the air density outside the eye.  

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