Ten measurements of flow through a pipe are taken over time using a flow meter w

Question

Ten measurements of flow through a pipe are taken over time using a flow meter with a digital output. The flow meter has an accuracy of plus/minus 0.06 cubic feet per minute (CFM). The ten measurements are: 10.2, 11.5, 11.3, 10.8, 10.4, 11.1, 10.5, 11.0, 10.2, and 10.9 CFM. Determine the Nth order uncertainty of the measured flow rate (at 95% probability).

Ten measurements of flow through a pipe are taken over time using a flow meter with a digital output. The flow meter has an accuracy of plus/minus 0.06 cubic feet per minute (CFM). The ten measurements are: 10.2, 11.5, 11.3, 10.8, 10.4, 11.1, 10.5, 11.0, 10.2, and 10.9 CFM. Determine the Nth order uncertainty of the measured flow rate (at 95% probability).

Explanation / Answer

the flow rate is determined inferentially by measuring the liquid's velocity or the change in kinetic energy. Velocity depends on the pressure differential that is forcing the liquid through a pipe or conduit. Because the pipe's cross-sectional area is known and remains constant, the average velocity is an indication of the flow rate. The basic relationship for determining the liquid's flow rate in such cases is:

Q = V x A

where

Q = liquid flow through the pipe

V = average velocity of the flow

A = cross-sectional area of the pipe

The equation is:

R = 3160 x Q x Gt
D x

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