A hurricane is a tropical storm formed over the ocean by tow atmospheric pressur

Question

A hurricane is a tropical storm formed over the ocean by tow atmospheric pressures. As a hurricane approaches land, inordinate ocean swells (very high tides) accompany the hurricane. A Class-5 hurricane features winds in excess of 155 mph. although the wind velocity at the center 'eye is very low. The figure on the right depicts a hurricane hovering over the ocean swell below The atmospheric pressure 200 mi from the eye (at point 1) is 30.0 in Hg and the winds are calm. The atmospheric pressure at the eye of the storm is 22.0 in Hg. Assuming that the flow conditions in the hurricane are such that the Bernoulli equation applies between any points: Estimate the ocean swell at the eye of the hurricane Estimate the ocean swell at point 2. where the wind velocity is 155 mph. Density of sea water: rho = 64 lbm/ft Density of mercurgy: rho = 848 Ibm/ft^3 Density of air at normal sea-level temperature and pressure: rho = 0.076 lbm/ft^3.

Explanation / Answer

velocity of hurricane = 155 mph

Pressure at the wind = 200 mi

head = 30.0 Hg

head of the storm = 22.0 Hg

density of sea water = 64 lbm/ft^3

density of mercury = 848 lbm /ft^3

Density of air at sea level = 0.076 lbm/ft^3 .

applying bernouilis equation between storm and sea eye

Pressure energy + Kinetic energy at storm + datum energy at storm = pressure energy at sea eye + kinetic energy at sea level + datum energy

200 / 848 x 21.937 + 155 ^2 / 2 x 21.937 + 30 = 20 / 64 x 21.937 + 155^2 /2 x 21.937 + 22-

0.0107 - 1.424 - 22

hf = 8.9 ft

2 ) if the wind velocity 155 mph

155 / 848 x 21.937 + ha = 200 /0.076 x 21.937 +hf

ha - hf = 0.80 ft

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