MECH 322 Instrumentation Lab 6 Fluid Speed and Volume Flow Rate Performed: February 27, 2007 Group 0 Miles Greiner Lab Instructors: Mithun Gudipati, Venkata Venigalla Abstract • The volumetric flow rate and centerline speed of air in a tube wind tunnel were measured for a range of blower speeds. As a consistency check, the measured centerline speed was compared to the centerline speeds calculated from the volume flow rate based on slug and parabolic velocity profiles. • The volume flow rate and centerline speed were determined by measuring the pressure from a Venturi tube and a Pitot probe using pressure transmitters. • The maximum volume flow rate was 0.062 ± 0.001 m3/s • The measured centerline speed was bracketed by the values predicted for slug and parabolic velocity for all blower speeds. Table 1 Atmospheric Conditions, Dimensions and Parameters for Experiment Tatm Patm Dpipe Dtube Apipe 2 [°C] [mbar] [inch] [inch] [m ] 22 873 2.07 2.25 0.002165 Atube 2 [m ] 0.002565 K [-] 0.381 W 40-inch W 3-inch [Pa] 25 [Pa] 1.9 • This table presents the atmospheric temperature and pressure during the experiment. • It also presents the pipe and tube inner diameters and areas, and the Venturi tube flow coefficient. • The manufacturer stated uncertainties of the pressure transmitters are also included. Table 2 Measured Pressure Transmitter Currents Blower Condition Blower off 1 2 3 4 5 6 7 8 9 10 Blower off IV [mA] 4.01 8.9 8.59 8.33 7.74 7.15 6.74 6.39 6.09 5.59 5.09 4.02 IP IG [mA] [mA] 4.02 4 14.9 5 14.34 4.99 13.17 4.88 12.05 4.78 11.4 4.72 10.87 4.68 10.4 4.62 8.38 4.43 7.96 4.4 6.18 4.21 4.02 4.01 Table 3 Measurement Reading and Calculated Values Blower Condition Blower off 1 2 3 4 5 6 7 8 9 10 Blower off Uncertainty PV [Pa] 6.2 3048.3 2855.4 2693.7 2326.7 1959.6 1704.6 1486.8 1300.2 989.1 678.1 12.4 24.9 PP [Pa] 0.9 508.6 482.4 427.8 375.6 345.3 320.5 298.6 204.4 184.8 101.7 0.9 1.9 PG [Pa] 0 622 616 547 485 448 423 386 268 249 131 6 25 P [kPa] 87.3 86.7 86.7 86.8 86.8 86.9 86.9 86.9 87.0 87.1 87.2 87.3 0.5 r [kg/m3] 1.031 1.024 1.024 1.025 1.025 1.026 1.026 1.027 1.028 1.028 1.030 1.031 Wr [kg/m3] 0.007 0.007 0.007 0.007 0.007 0.007 0.007 0.007 0.007 0.007 0.007 0.007 Q [m3/s] 0.0029 0.0637 0.0616 0.0598 0.0556 0.0510 0.0475 0.0444 0.0415 0.0362 0.0299 0.0041 WQ [m3/s] 0.0057 0.0013 0.0013 0.0012 0.0012 0.0011 0.0010 0.0010 0.0009 0.0009 0.0008 0.0041 VC [m/s] 1.35 31.5 30.7 28.9 27.1 25.9 25 24.1 19.9 19 14.1 1.35 WVc [m/s] 1.35 0.12 0.12 0.12 0.11 0.11 0.11 0.11 0.11 0.11 0.14 1.35 VP [m/s] 2.2 49.6 48.0 46.6 43.3 39.7 37.1 34.6 32.3 28.2 23.3 3.2 VS [m/s] 1.1 24.8 24.0 23.3 21.7 19.9 18.5 17.3 16.2 14.1 11.7 1.6 ReP 3,881 85,608 82,858 80,509 74,850 68,708 64,090 59,869 56,024 48,870 40,491 5,489 • This table presents the transmitter pressure differences for the Venturi tube, Pitot probe and gage pressure for different flow conditions. The uncertainty of the pressures is also included. • The calculated tube absolute pressure, density, volume flow rate and centerline speed are also presented. • The uncertainty of the volume flow rate and speed are based on uncertainties of the Venturi tube flow coefficient and pressure measurements. • When the blower was on, the pipe Reynolds number is within or close to the prescribed range for the Venturi tube calibration, 54,000 < 𝑅𝑒P < 137,000 Figure 1 Measured and Predicted Centerline Velocities Versus Volume Flow Rate • When the blower was on, the measured centerline speed was between the values predicted for slug and parabolic velocity profiles. • The uncertainty in Q was more significant than that for VC