(Solution Download) A tornado can be idealized as a Rankine vortex with a corc of diameter 30 m. The gaugc pressure at a


A tornado can be idealized as a Rankine vortex with a corc of diameter 30 m. The gaugc pressure at a radius of 15 m is -2000 N/m2 (that is, the absolute pressure is 2000N/m2 below atmospheric). (a) Show that the circulation around any circuit surrounding the core is 5485m2/s. [Hint: Apply the Bernoulli equation between infinity and the cdge of the core.] (b) Such a tornado is moving at a linear speed of 25 m/s relative to the pund. Find tbc time required For the gauge pressure to drop from -500 to -2000N/mZ. Neglect compressibility effects and assume an air temperaturc of 25 T. (Note that the tornado causes a sudden decrease of the local atmospheric pressure. The damage to structures is oftcn caused by the resulting excess pressure on the inside of the walls, which can cause a house to explode.)

 







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