Fluid Statics

Example 2 :

Determine (a) the gauge pressure and (b) The absolute pressure of water at a depth of 9 m from the surface.

Solution :

Given data:

                 Depth of water = 9 m

                 the density of water = 998.2 kg/m3

                 And acceleration due to gravity = 9.81 m/s2

                 Thus the pressure at that depth due to the overlying water is P = r gh = 88.131 kN/m2

      Case a)  as already discussed, gauge pressure is the pressure above the normal atmospheric pressure.

                Thus, the gauge pressure at that depth = 88.131 kN/m2

     Case b) The standard atmospheric pressure is 101.213 kN/m2

               Thus, the absolute pressure as P abs = 88.131+101.213 = 189.344 kN/m2
     Answer:    88.131 kN/m2 ;       101.213 kN/m2
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