Fluid Statics

Example 3:

As shown in figure water flows through pipe A and B. The pressure difference of these two points is to be measured by multiple tube manometers. Oil with specific gravity 0.88 is in the upper portion of inverted U-tube and mercury in the bottom of both bends. Determine the pressure difference.

Solution :

Given data: Specific gravity of the oil in the inverted tube 0.88
                   Specific gravity of Mercury in the U-tube13.6

Calculate the Pressure difference between each two point as follow
                   P2 -P1 = h r g = h S rw g

Start from one and i.e. PA or P B .

                  
Fig. Ex3

Rearranging and summing all these equations we have PA - PB = 103.28 rw g
Answer: - 10.131 kPa
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