Problem 3 (40 pts) Hong Kong's tropical typhoon season is approaching. A vortex is a flow pattern for which the streamli

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Problem 3 40 Pts Hong Kong S Tropical Typhoon Season Is Approaching A Vortex Is A Flow Pattern For Which The Streamli 1 (51.81 KiB) Viewed 21 times

Problem 3 (40 pts) Hong Kong's tropical typhoon season is approaching. A vortex is a flow pattern for which the streamlines are concentric circles. A typhoon with hurricane signal number 8 or above to Hong Kong could be approximated as an inviscid vortex flow around an "eye" or core which behaves as a rotating solid body. (i) Using Laplace's equation, find v,and ve for inviscid vortex flow. (ii) A rough rule of thumb is that the radius of the eye of a typhoon is 30 m. What is the pressure in the eye of a typhoon with a maximum velocity of 50 m/s, assuming normal atmospheric pressure far afield? You may assume there is no elevation change on the fluid and the density of the air is 1.23 kg/m³.