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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The velocity in turbulent tube flows varies approximately as

where uc is the velocity at the center of the tube and r0 is the tube radius. An experimental setup using air in a 30-cm-diameter tube is used to check this relation. The air temperature is 20◦C and pressure is 1.0 atm. The maximum flow velocity is 15 m/s and a Pitot tube is used to traverse the flow and to obtain a measurement of the velocity distribution. Measurements are taken at radii of 0, 5, 10, and 12 cm, and the uncertainty in the dynamic-pressure measurement is ±5 Pa. Using the above relation and Eq. (7.55), calculate the nominal velocity and dynamic pressure at each radial location. Then, calculate the uncertainty in the velocity measurement at each location based on the uncertainty in the pressure measurement. Assuming that the above relation does represent the true velocity profile, calculate the uncertainty which could result in a mass flow determined from the experimental data. The mass flow would be obtained by performing the integration


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