Fluid Dynamics Question-Help Please 2-15. The structure shown is used for the te

Question

Fluid Dynamics Question-Help Please

2-15. The structure shown is used for the temporary storage of crude oil at sea for later loading into ships. When it is not filled with oil, the water level in the stem is at B (sea level). Why? As the oil is loaded into the stem, the water is displaced through exit ports at E. If the stem is filled with oil, that is, to the depth of C, determine the height h of the oil level above sea level. Take po = 900 kg/m^3, pw = 1020 kg/m^3. *2-16. If the water in the structure in Prob. 2-45 is displaced with crude oil to the level D at the bottom of the cone, then how high h will the oil extend above sea level? Take po, = 900 kg/m^3, pw = 1020 kg/m^3.

Explanation / Answer

At the level of point C when the stem is filled with oil, the pressure of the water (from the ocean) pushing upwards need to be equal to the pressure of the oil (from the stem) pusing downwards. The length of the column of water (from ocean) above point C is 40 m

Pw =rho(w)*g*40

Po =rho(o)*g*(40+h)

rho(w)*40 =rho(o)*(40+h)

1020*40 =900*40 +900*h

h =5.33 m

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