Problem 4.2.5

 

Water is flowing through an 8-inch pipe diameter pipe at a rate of 2.23 cubic foot per second.  A square-edged orifice plate (5.75-inch) is installed in the pipe.  What manometer reading in inches of mercury would be expected?

 

Solution:

 

Velocity in the main pipe, based upon d2, is 6.419 foot per second.  That yields Reynolds number of 8.97 timea105.  For beta (d1 over d2) of 0.721, orifice coefficient can be read as 0.70.

 

Using orifice area, A1, as 0.181 ft2, pressure drop is found to be 295 pounds per square foot.

Manometer deflection could be calculated as 0.375 foot or 4.5 inch of mercury.