Make an analytical model of a tornado using an irrotational vortex (with velocity inversely…

Make an analytical model of a tornado using
an irrotational vortex (with velocity inversely proportional to distance from
the center) outside a central core (with velocity directly proportional to
distance). Assume that the core diameter is 200 ft and the static pressure at
the center of the core is 38 psf below ambient pressure. Find

(a) the maximum wind velocity;

(b) the time it would take a tornado moving
at 60 mph to lower the static pressure from 10 to 38 psfg;

(c) the variation in stagnation pressure
across the tornado. Euler’s equation may be used to relate the pressure
gradient
»

Make an analytical model of a tornado using
an irrotational vortex (with velocity inversely proportional to distance from
the center) outside a central core (with velocity directly proportional to
distance). Assume that the core diameter is 200 ft and the static pressure at
the center of the core is 38 psf below ambient pressure. Find

(a) the maximum wind velocity;

(b) the time it would take a tornado moving
at 60 mph to lower the static pressure from 10 to 38 psfg;

(c) the variation in stagnation pressure
across the tornado. Euler’s equation may be used to relate the pressure
gradient in the core to the fluid acceleration.

»

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