Discharge coefficient 1 0.8 0.9 0.8 0.7 0.6 0.2 0.5 0.4 0.3 10 100 0.7 0.6 0.4 0.5 1000 Parameter denotes orifice-to-pipe diameter ratio Reynolds number through the orifice 104 10$ Pipe wall Pipe wall P1 Differential Pressure Sensor Nut Pipe threads - Orifice plate P3 vena contracta point of maximum cond ปีกก อ -Stud Nut Figure 1. Illustration of the proposed orifice plate flow meter. The distance between the port locations is 19.5", the pipe is Nominal 2 in Schedule 40, the orifice plate radius is 0.5", and the thickness is 0.5".
Consider Figure 1, which includes an illustration of the proposed orifice plate meter. The piping is
Nominal 2 in Schedule 40, the orifice plate radius is 0.5′′ in, and the plate itself is 0.5′′ thick.
Flow goes left to right, and to measure pressure losses during flow you will install a differential
pressure sensor along the length that will measure the pressure losses. One port for the differential
sensor will be placed 4′′ upstream (P1 ) and the other port will be placed 15′′ downstream (P3).
The distance between the ports will be 19.5′′. The ports will be flush with the inner pipe wall so
we can assume the pressure measured is the fluid pressure at the wall of the pipe
If the fluid (viscosity = 0.001 Pa·s and density = 1200 kg/m 3) flows at 1 gpm, estimate the
pressure lost over the 19.5′′ span with the orifice plate in place. You should estimate CD
from Figure 2 and do not neglect pipe friction.
C. If we think of this orifice plate as a “fitting,” what is the equivalent length (L/D) e? Base
your calculations on your answer to part A.
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