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FLUID MECHANICS - CASE STUDY SOLUTION


Problem Diagram I
 

By assuming the fluid is incompressible and at rest, the hydrostatic pressure distribution is expressed as:

     p1 = ρgh + p0

From standard handbooks, it is noted that the atmospheric pressure at the sea level is p0 = 101.3 kPa and the acceleration of gravity is g = 9.8 m/s2. At fresh water temperature of 16oC, the density of water = 999 kg/m3 and the density of seawater = 1030 kg/m3.

     

Problem Diagram II
 

The absolute pressure at a depth of 12 meters of water is
     p1 = (999 kg/m3) (9.8 m/s2) (12 m) + 101.3 kPa
         = 219 kPa

whereas for seawater:
     p1 = (1030 kg/m3) (9.8 m/s2) (12 m) + 101.3 kPa
         = 222 kPa

Therefore, it can be concluded that the density of the fluid (fresh water vs. seawater) in this scenario plays a very small role (1%) in the design criteria.

     
   
 
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