Inlet Calibration Object : To calibrate the inlet by the use f the traversing pitot-static tube. Procedure : A range of volume flow rates are set up using the resistance screens single or in combinations, first with one fan only running and for higher flows with fans No1 and 2 in parallel. At each setting the inlet pressure drop is measured to atmosphere using an inclined manometer. Fort his, connect the negative side of the manometer tube to the inlet pressure tapings and leave the positive side open to the atmosphere. At the same time, the mean velocity pressure is determined by traversing the pitot-statics tube. This is also connected to an inclined manometer, the pitot-probe being connected to the positive side and the static tube to the negative side, so that velocity pressure is indicated directly. Measurements are made at positions according to the log-linear rule follows: 0.032D, 0.135D, 0.321D, 0.679D, 0.865D, 0.968D Where D=diameter of the duct at the traverse cross-section. Atmospheric temperature and pressure should also be recorded to determine air density for the calculation of mean velocity. Results and Calculations: Diameter of the duct, D=290 mm =0ç29m Positions in the duct from the center (to the nearest mm.) at which the center of the Pitot - static tube should be set: 0.032D 136 i) ii) 0.135D 106 0.321D 52 0.679D -52 0.865D -106 0.968D -136 Plot a graph of inlet pressure drop (pi) against mean velocity pressure (Pv), obtained by averaging the 6 values of Pv. From the graph obtain a relationship expressing Pv in terms of Pi, i.e. Pv=K. Pi where K is constant of proportionality. Pv =1/2p v2 (N/m2 or Pa) Rearringing gives V= sqrt(2*Pv)/p) (m/s) Where V= mean air velocity in the duct P= air density (kg/m3) =0.4627B/(273+t) Where B=atmospheric pressure in mm. Hg. And t=atmospheric temperature in C0 Q= air volumetric flow rate (m3/s) A= cross-sectional area of flow = 0.066m2 Then Q=A*V = 0.066*sqrt(2*Pv/p) in here sqrt means square root = 0.0934 sqrt(K*Pi/p) m3/s Anemometer Calibration Object: To determine the true air vaelcity from an anemometer by calibrating it against a pitotstatic tube. Procedure: A range of velocities are set up in the duct as in previous experiment. The anemometer is adjust to be axial with the flow and th epitot-static tube postioned so the that it is axial and in line with the centre of the anemometer vane whell. Connect the Pitot-static tube to an inclined manometer to measure velocity pressure (Pv). At each velocity setting, take three readings of Pv and velocity with the Pitot-static tube and anemometer respectively. These are then averaged and the true air velocity as read on the anemometer (Va). Atmospheric temperature and pressure should be recoreded to determine air density. Yaw of a Pitot-static Tube Object: To determine the effect of mis-aligment of Pitot-static tube to an airstream. Definition : “Yaw” or “Angle of Yaw” is the angle between the axis of the instrument and direction of the mean velocity Procedure: Axially align the Pitot-static tube i,rr the centre of the duct checking that the protractor reads zero degrees (if not then adjust it to be so.) Connect the Pitot-static tube to an inclined manometer to measure velocity pressure (Pv). Set up a suitable velocity pressure' say about 80 Pa; this may be achieved by using 2 fans in parallel with one 8 mesh/inch. resistance screen in the inlet. Connect the inlet pressure tappings to an inclined manometer to check that mean air velocity does not vary during the experiment. Measure the velocity pressure ir the axial position (Pvo) and at 50 increments between +- 450 measured on the protractor. Note the inlet pressure drop and atmospheric temperature and pressure. Record results. Part B : Static Pressure Variation with Angle of Yaw With thhe Pitot static tube positioned as in Part A, disconnected the total pressure tapping. Set up the static presuure to about 200 Pa; this may be achieved using 2 fans in parallelwith one 8 mesh/inch resistance screen in the inlet. Again check to ensure there are no variations in velocity. Measure the static pressure in axial position (Pso) and at 50 increments between +-450 Note the inlet pressure drop and atmospheric temperature and pressure. Yaw of an Anemometer: Object: To determine the effect of misalignment of an anemometer to an airstream. Definition: “yaw” and angle of yaw” is the angle between the axis of instrument and direction of the mean velocity. Procedure: Axially align the anemometer and check that the protractor reads zero degrees Set up a suitable air velocity, say about 10m/sec; this may be achieved using No:3 fan with two 8 mesh/inch an done 20 mesh/inch resistance screens in the inlet. Connect the inlet pressure tapings to an inclined manometer to check that mean air velocity does not vary during the experiment. Measure the anemometer count as described in previous section. Repeating this 3 times to achieve satisfactory mean value of air velocity Vao. Read the anemometer at 50 of increments of yaw between ±400 measured on the protractor. Note the inlet pressure drop and atmospheric temperature and pressure. Inlet Calibration Typical Results Atmospheric Temperature: 15 0C Atmospheric Pressure: 762.5 mm. Hg. Inlet Pressure Pi (Pa) 13 21 30 37 50 73 127 Pitot-Static Reading, Pv (Pa) at 136 (mm.) 8 12 20 24 43 46 105 106 (mm.) 14 21 32 36 50 72 132 52 (mm.) 16 24 34 40 51 79 132 -52 (mm.) 15 24 33 40 52 80 130 Pv=(64.2/100)*Pi =0.942 *Pi (pa) Q= 0.0934 sqrt(0.942Pi/p) = 0.0907 sqrt(pi/p) M=p.Q= p*0.0907 sqrt(pi/p) = 0.0907 sqrt(pi*p) -106 (mm.) 13 21 32 39 50 75 128 Mean Pv (pa) -136 (mm.) 9 14 22 28 35 56 103 12.5 19.3 28.8 34.5 46.8 68 121.6 MEAN VELOCITY PRESSURE PV (PA) INLET PRESSURE AGAINST VELOCITY PRESSURE 140 120 100 80 60 40 20 0 0 20 40 60 80 100 120 140 INLET PRESSURE (PI) Anemometer Calibration: Typical Results P=(0.4627*768.5)/ (273+16) = 1.23 kg/m3 Thus true velocity V= sqrt(2*Pv/1.23) = 1.27 sqrt(Pv) The Graph of Va against V shows a linear relationship over the range tested. The equation for the straight-line is: V= 0.98 * Va m/s If the count obtained on the anemometer is 600m in 1 minute, then : Va=600/60 = 10 m/s Giving V= 0.980 * 10 =9.8 m/s Velocity Pressure and Anemometer Readings Atmospheric temperature: 16 0C Atmospheric pressure = 768.5 mm. Hg. Velocity Pressure, Pv (Pa) 11 11 11 13 13 13 15 15 16 Anemometer Counts (m) Start 200 700 100 700 300 700 400 800 200 Stop 500 1000 400 1000 600 1000 700 1100 500 Lapse Time (s) Second 69.0 69.4 69.4 64.7 64.8 64.7 59.4 59.3 59.2 Mean Air Velocity Va (m/s) 4.33 Mean Pv (pa) 11 True Air Velocity V (m/s) 4.21 4.63 13 4.58 5.06 15.3 4.97 20 20 20 24 24 24 31 32 31 40 41 40 46 45 46 56 54 56 300 800 300 600 100 600 300 800 300 400 200 900 800 600 300 300 000 700 700 1200 700 1000 500 100 700 1200 700 1000 800 1500 1400 1200 900 900 600 1300 69.5 69.5 69.5 63.2 63.2 63.1 55.6 55.3 55.7 73.2 72.6 73.1 68.8 69.0 68.3 62.6 62.3 61.2 5.76 20 5.68 6.33 24 6.22 7.2 31.3 7.15 8.19 40.3 8.05 8.73 45.6 8.58 9.68 55.3 9.45 Yaw of a Pitot-static Tube : Typical Results From the graph of log. (% Pressure Variations) Vs. log. (Angle of Yaw) 5% error iin velocity pressure occurs around ±20 0 of jaw of the Pitot-static tube, and 5% error in static head occurs around +- 250 yaw, showing the velocity pressure measurement is a little more sensitive to misalignment. Velocity Pressure variation with Angle of Yaw Atmospheric temperature = 15 0C Atmospheric pressure = 762.5 mm. Hg. Inlet Pressure drop = 65 Pa Angle of Yaw, α (degrees) 0 5 10 15 20 25 30 35 40 45 0 -5 -10 -15 -20 -25 -30 Velocity Pressure Pvα 81 81 80 80 78 75 69 63 52 46 81 81 80 79 76 72 66 Pvα / Pv0 100 (1-Pvα-Pvo) 1.000 1.000 0.988 0.988 0.963 0.926 0.852 0.778 0.642 0.568 1.000 1.000 0.988 0.975 0.938 0.889 0.815 0 0 1.2 1.2 3.7 7.4 14.8 22.2 35.8 43.2 0 0 1.2 2.5 6.2 11.1 18.5 -35 -40 -45 0 60 50 42 81 0.741 0.617 0.519 1.000 25.9 38.3 48.1 0 Psα / Ps0 100 (1-Psα-Pso) 1.000 1.005 1.015 1.024 1.034 1.049 1.059 1.068 1.088 1.112 1.000 1.010 1.015 1.024 1.029 1.044 1.059 1.073 1.098 1.117 1.000 0 0.5 1.5 2.4 3.4 4.9 5.9 6.8 8.8 11.2 0 1.0 1.5 2.4 2.9 4.4 5.9 7.3 9.8 11.7 0 Static Pressure variation with Angle of Yaw Atmospheric temperature = 15 0C Atmospheric pressure = 762.5 mm. Hg. Inlet Pressure drop = 65 Pa Angle of Yaw, α (degrees) 0 5 10 15 20 25 30 35 40 45 0 -5 -10 -15 -20 -25 -30 -35 -40 -45 0 Static Pressure Pvα 205 206 208 210 212 215 217 219 223 228 205 207 208 210 211 214 217 220 225 229 205 Yaw of pitot static tube Static Pressure ratio Velocity Pressure ratio 1.2 1.1 1 0.9 0.8 0.7 0.6 0.5 -60 -40 -20 0 20 40 Angle of yaw Yaw of anemometer Angle of Yaw α Anemometer Counts m 0 5 10 15 20 25 30 35 40 0 -5 -10 -15 -20 -25 -30 -35 -40 0 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 Seconds 60.8 60.6 60.3 59.9 59.3 60.3 63.8 69.4 74.8 60.8 60.1 59.5 59.3 59.2 60.8 64.8 68.0 75.9 60.8 Mean Air Velocity Va (m/s) 8.22 8.25 8.29 8.35 8.43 8.29 7.84 7.2 6.68 8.22 8.32 8.4 8.43 8.45 8.22 7.72 7.35 6.61 8.22 Vaα / Vao 1.000 1.003 1.008 1.015 1.025 1.008 0.953 0.876 0.813 1.000 1.012 1.022 1.025 1.027 1.000 0.938 0.894 0.804 1.000 60 Yaw of anemometer 1.05 1 Velocity Ratio 0.95 0.9 0.85 0.8 0.75 0.7 -50 -40 -30 -20 -10 0 Angle of Yaw 10 20 30 40 50