Experiment # 1 Report

Experiment # 1 Report - Distance (m) 0.0160 0.0150 0.0140...

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Unformatted text preview: Distance (m) 0.0160 0.0150 0.0140 0.0130 0.0120 0.0110 0.0100 0.0090 0.0080 0.0070 0.0060 0.0050 0.0040 0.0030 0.0020 0.0010 0.0000 0.00 2.03 3.02 4.74 5.88 7.45 8.12 9.48 10.47 11.30 11.98 13.07 13.80 14.42 14.53 14.84 14.74 0.00 1.66 3.33 4.53 6.09 7.13 8.33 9.37 10.62 11.35 12.29 13.17 13.75 14.37 14.74 15.00 14.95 0.00 1.72 3.59 4.63 5.78 7.08 8.49 9.53 10.78 11.51 12.45 13.28 13.90 14.53 14.69 15.05 15.15 0.00 1.56 2.97 4.79 6.20 7.29 8.54 9.42 10.67 11.46 12.55 13.33 13.85 14.58 14.84 15.10 15.21 Average (mm) 0.00 1.74 3.23 4.67 5.99 7.24 8.37 9.45 10.64 11.41 12.32 13.21 13.83 14.48 14.70 15.00 15.01 Average (m) 0.0000 0.0017 0.0032 0.0047 0.0060 0.0072 0.0084 0.0095 0.0106 0.0114 0.0123 0.0132 0.0138 0.0145 0.0147 0.0150 0.0150 Distance (m) 0.016 0.015 0.014 0.013 0.012 0.011 0.010 0.009 0.008 0.007 0.006 0.005 0.004 0.003 0.002 0.001 0.000 0 2.70 6.19 8.75 11.30 13.33 15.57 17.70 20.26 19.84 22.55 24.37 26.19 27.50 28.75 29.32 29.73 30.00 0 2.60 6.25 8.95 11.40 13.90 15.31 17.76 20.83 19.73 22.50 24.73 26.61 27.44 28.69 29.42 29.79 30.31 0 2.70 6.19 9.11 11.66 13.59 15.83 17.50 20.67 19.53 22.65 24.53 26.45 27.86 28.90 29.58 30.00 30.46 0 2.34 6.35 9.06 11.19 13.85 15.67 17.81 21.04 19.89 23.02 25.00 26.35 27.70 29.11 29.53 30.20 30.41 Average (mm) 0.00 2.59 6.25 8.97 11.39 13.67 15.60 17.69 20.22 22.68 24.66 26.40 27.63 28.86 29.46 29.93 30.30 Average (m) 0.0000 0.0026 0.0062 0.0090 0.0114 0.0137 0.0156 0.0177 0.0202 0.0227 0.0247 0.0264 0.0276 0.0289 0.0295 0.0299 0.0303 ( xi − x ) 2 N −1 σ = 0.562829906 σ= (mm) (m) σ = 5.628 * 10 -4 0.56 Distance (m) 0.016 0.015 0.014 0.013 0.012 0.011 0.010 0.009 0.008 0.007 0.006 0.005 0.004 0 3.96 10.42 15.00 17.61 21.36 24.33 26.93 30.37 33.39 34.64 36.93 38.44 4.95 9.74 14.27 18.02 21.62 24.07 27.40 30.21 33.28 35.00 36.88 38.13 0 4.64 9.64 14.38 18.28 21.88 24.01 27.71 30.78 32.97 35.16 36.72 38.18 0 5.00 10.00 14.43 18.13 21.10 24.64 28.13 30.32 32.66 35.21 37.14 38.55 Average (mm) 0 0.00 4.64 9.95 14.52 18.01 21.49 24.26 27.54 30.42 33.08 35.00 36.92 38.33 Average (m) 0.0000 0.0046 0.0100 0.0145 0.0180 0.0215 0.0243 0.0275 0.0304 0.0331 0.0350 0.0369 0.0383 0.003 0.002 0.001 0.000 39.43 39.59 39.33 38.03 39.01 39.43 40.00 38.55 39.12 39.74 39.22 38.13 39.22 39.69 39.43 38.18 39.20 39.61 39.50 38.22 0.0392 0.0396 0.0395 0.0382 ρ = 1000 kg/m ρ = 1.23 kg/m g = 9.81 m/s D = 0.03 m μ = 1.75E-05 kg/m n1 = 6 n2 = 6.2 n3 = 6.7 water air 2 3 3 20519.22 Flow Rate Pressure Micromete Manometer Pressure (m) H2O (m3/s) (Pa) r (m) Differential 0.0160 0.0000 0.00 0.0150 0.0017 17.09 0.0140 0.0032 31.66 0.0130 0.0047 45.84 0.0120 0.0060 58.74 0.0110 0.0072 71.00 0.0100 0.0084 82.11 0.0090 0.0095 92.70 0.0080 0.0106 104.33 0.01 28.27 0.0070 0.0114 111.88 0.0060 0.0123 120.83 0.0050 0.0132 129.61 0.0040 0.0138 135.62 0.0030 0.0145 142.00 0.0020 0.0147 144.21 0.0010 0.0150 147.13 0.0000 0.0150 147.27 Velocity (m/s) 0.00 5.27 7.18 8.63 9.77 10.74 11.55 12.28 13.02 13.49 14.02 14.52 14.85 15.20 15.31 15.47 15.47 Reynolds Number 20519.22 0.96 0.98 0.99 1.00 1.00 Exp. Standarized Velocity [U/Umax] 0.00 0.29 0.45 0.54 0.61 0.67 0.72 0.76 Exp. Standarized Distance [r/R] 1.0000 0.9375 0.8750 0.8125 0.7500 0.6875 0.6250 0.5625 0.5000 0.4375 0.3750 0.3125 0.2500 0.1875 0.1250 0.0625 0.0000 Exp. Standarized Distance [r/R] 1.000 0.938 0.875 0.813 0.750 0.688 0.625 0.563 Theoritical Standard Velocity [U/Umax] 0.00 0.63 0.71 0.76 0.79 0.82 0.85 0.87 0.89 0.91 0.92 0.94 0.95 0.97 0.98 0.99 1.00 Theoritical Standard Velocity [U/Umax] 0.00 0.64 0.72 0.76 0.80 0.83 0.85 0.88 Flow Rate Pressure Micromete Manometer Pressure (m) H2O (m3/s) (Pa) r (m) Differential 0.0160 0.0000 0.00 0.0150 0.0026 25.36 0.0140 0.0062 61.26 0.0130 0.0090 87.97 0.0120 0.0114 111.71 0.0110 0.0137 134.08 0.0100 0.0156 152.99 0.0090 0.0177 173.56 0.01 36.54 Velocity (m/s) 0.00 6.42 9.98 11.96 13.48 14.77 15.77 16.80 Reynolds Number 28567.50 0.01 36.54 0.0080 0.0070 0.0060 0.0050 0.0040 0.0030 0.0020 0.0010 0.0000 0.0080 0.0080 0.0202 0.0227 0.0247 0.0264 0.0276 0.0289 0.0295 0.0299 0.0303 198.39 222.49 241.89 258.98 271.00 283.14 289.03 293.61 297.19 17.96 28567.50 19.02 19.83 20.52 20.99 21.46 21.68 21.85 21.98 17.21 18.71 Velocity (m/s) 0.00 8.60 12.60 15.22 16.95 18.51 19.67 20.96 22.03 22.97 23.63 24.27 24.73 25.00 25.14 25.10 24.69 Reynolds Number 0.82 0.87 0.90 0.93 0.95 0.98 0.99 0.99 1.00 0.500 0.438 0.375 0.313 0.250 0.188 0.125 0.063 0.000 0.89 0.91 0.93 0.94 0.95 0.97 0.98 0.99 1.00 Flow Rate Pressure Micromete Manometer Pressure (m) H2O (m3/s) (Pa) r (m) Differential 0.0160 0.0000 0.00 0.0150 0.0046 45.49 0.0140 0.0100 97.61 0.0130 0.0145 142.44 0.0120 0.0180 176.68 0.0110 0.0215 210.82 0.0100 0.0243 238.02 0.0090 0.0275 270.19 0.0304 298.42 0.01 43.43 0.0080 0.0070 0.0331 324.47 0.0060 0.0350 343.37 0.0050 0.0369 362.16 0.0040 0.0383 375.97 0.0030 0.0392 384.50 0.0020 0.0396 388.60 0.0010 0.0395 387.45 0.0000 0.0382 374.96 43321.90 Exp. Standarized Velocity [U/Umax] 0.00 0.35 0.51 0.62 0.69 0.75 0.80 0.85 0.89 0.93 0.96 0.98 1.00 1.01 1.02 1.02 1.00 Exp. Standarized Distance [r/R] 1.000 0.938 0.875 0.813 0.750 0.688 0.625 0.563 0.500 0.438 0.375 0.313 0.250 0.188 0.125 0.063 0.000 Theoritical Standard Velocity [U/Umax] 0.00 0.66 0.73 0.78 0.81 0.84 0.86 0.88 0.90 0.92 0.93 0.95 0.96 0.97 0.98 0.99 1.00 U= U ( r ) = −7 * 10 6 r 3 + 85735 r 2 − 594 .14 r + 15 .953 Q = 2Π∫ U ( r ) rdr 0 R K * ∆h K= 2 * δW * g δ air Q = 2Π Q = 2Π 0.016 ∫ (−7 *10 0 6 r 3 + 85735 r 2 − 594 .14 r + 15 .953 ) rdr r 4 + 85735 r 3 − 594 .14 r 2 + 15 .953 r ) dr 0.016 ∫ (−7 *10 0 6 K = 15951.2 U= Q = 2Π * [0.007335 ] Q = 0.007335 ( m 3 / s ) Calculatio n of U aver U aver = Q / Area 0.007335 = 9.12313 (m /s) 8.04 * 10 −4 Calculatio n of Reynolds Num ber U aver = Q = 2Π * [0.007335 ] Q = 0.007335 ( m 3 / s ) Calculatio n of U aver U aver = Q / Area 0.007335 = 9.12313 (m /s) 8.04 * 10 −4 Calculatio n of Reynolds Num ber U aver = Re = Re = δair * U aver * D µair 1.23 * 9.12313 * 0.032 1.75 * 10 −5 Re = 20519 .22 Since Re greater th an 5000 therefor e the flow is Turbulent. from figure 5.5 in the lab m anual n value is 6. i − x) 2 N −1 2829906 8 * 10 -4 (mm) (m) Theoritical Volume Rate(m3/s) 0.01 −Q calc actual *100 Q actual 0.007335 - 0.005268 Relative Error = *1`00 0.005268 Relative Error = 0.392369 *100 Relative Error = 39.24% Relative Error = Q Theoritical Volume Rate(m3/s) 0.01 −Q calc actual * 100 Q actual 0.010212 - 0.007533 Relative Error = * 1`00 0.007533 Relative Error = 0.355635 * 100 Relative Error = 35.56% Relative Error = Q Relative Error Relative Error 0.01 Relative Error Relative Error −Q calc actual * 100 = Q actual 0.010212 - 0.007533 = * 1`00 0.007533 = 0.355635 * 100 = 35.56% Q Theoritical Volume Rate(m3/s) 0.02 actual * 100 actual 0.015486 - 0.009629 Relative Error = * 1`00 0.009629 Relative Error = 0.608267 * 100 Relative Error = 60.82% Relative Error = Q calc Q −Q U= 3σ 2∆h 2 * δW * g 2 * 1000 * 9.81 K= = δ air 1.23 K * ∆h ± K * ∆h * K = 15951.2 U = 17.9503 ± 0.750448 V = 17.9503 U= 3σ 2∆h 2 * δW * g 2 * 1000 * 9.81 K= = δ air 1.23 K * ∆h ± K * ∆h * K = 15951.2 U= Standarized Velocity Vs. Standarized Distance Run 1 1.20 1.00 0.80 [U/Umax] 0.60 0.40 0.20 0.00 0.0000 Column H Column J 0.2000 0.4000 0.6000 [r/R] 0.8000 1.0000 1.2000 Standarized Velocity Vs. Standarized Run 3 1.20 1.00 0.80 [U/Umax] 0.60 0.40 0.20 0.00 0.0000 0.2000 0.4000 0.6000 [r/R] 1.00 0.80 [U/Umax] 0.60 0.40 0.20 0.00 0.0000 0.2000 0.4000 0.6000 [r/R] Standarized Velocity Vs. Standarized Distance Run 2 1.20 1.00 0.80 [U/Umax] 0.60 0.40 0.20 0.00 0.0000 Column H Column J Column H Column J 1.0000 1.2000 0.2000 0.4000 0.6000 [r/R] 0.8000 1.0000 1.2000 Standarized Velocity Vs. Standarized Distance Run 3 Column H Column J 0.2000 0.4000 0.6000 [r/R] 0.8000 1.0000 1.2000 Column H Column J 0.2000 0.4000 0.6000 [r/R] 0.8000 1.0000 1.2000 Velocity Vs. Micrometer Reading 18.00 16.00 14.00 12.00 Velocity (m/s) 10.00 8.00 6.00 4.00 2.00 0.00 0.0000 0.0020 0.0040 0.0060 0.0080 0.0100 0.0120 0.0140 0.0160 0.0180 Micrometer (m) Run 1 Theoretical [U/Umax] Vs [r/R] 1.20 1.00 0.80 [U/Umax] 0.60 0.40 0.20 0.00 0.0000 0.2000 0.4000 0.6000 [r/R] 0.8000 1.00 0.80 [U/Umax] 0.60 0.40 0.20 0.00 0.0000 0.2000 0.4000 0.6000 [r/R] 0.8000 Run 1 Experimental [U/Umax] Vs [r/R] 1.01 1.00 0.99 Run Velocity Vs. Microm 25.00 20.00 Velocity (m/s) 15.00 10.00 5.00 0.00 0.0000 0.98 [U/Umax] 0.97 0.96 0.95 0.94 .0160 0.0180 0.93 0.0000 0.2000 0.4000 0.6000 [r/R] 0.8000 1.0000 1.2000 0.0020 0.0040 0.0060 0.0080 Microm Run 1 Theoretical [U/Umax] Vs [r/R] 0.4000 0.6000 [r/R] 0.8000 1.0000 1.2000 0.4000 0.6000 [r/R] 0.8000 1.0000 1.2000 Run 2 Velocity Vs. Micrometer Readings 0 0 0 [U/Umax] 1.20 1.00 0.80 0.60 0.40 0.20 0.00 0.000 Run 2 Experimental [U/Umax] Vs. [r/R] 0 0 0 0.0000 0.0020 0.0040 0.0060 0.0080 0.0100 0.0120 0.0140 0.0160 0.0180 0.200 0.400 0.600 [r/R] 0.800 1.000 Micrometer (m) Run 2 Experimental [U/Umax] Vs. [r/R] 1.20 1.00 0.80 [U/Umax] 0.60 0.40 0.20 0.00 0.000 0.200 0.400 0.600 [r/R] 0.800 1.000 1.200 1.00 0.80 [U/Umax] 0.60 0.40 0.20 0.00 0.000 0.200 0.400 0.600 [r/R] 0.800 1.000 1.200 Run 2 erimental ax] Vs. [r/R] Run3 Velocity Vs. Micrometer Readings 30.00 25.00 Velocity (m/s) 0.600 [r/R] 0.800 1.000 1.200 20.00 15.00 10.00 5.00 0.00 0.0000 0.0020 0.0040 0.0060 0.0080 0.0100 0.0120 0.0140 0.0160 0.0180 Micrometer (m) Run T heoret [U/Umax] V 1.20 1.00 0.80 [U/Umax] 0.60 0.40 0.20 0.00 0.000 0.200 0.400 0 [r 1.00 0.80 [U/Umax] 0.60 0.40 0.20 0.00 0.000 0.200 0.400 0 [r eadings 1.20 1.00 0.80 [U/Umax] 0.60 0.40 0.20 Run 3 Experimental [U/Umax] Vs. [r/R] 00 0.0120 0.0140 0.0160 0.0180 ) 0.00 0.000 0.200 0.400 0.600 [r/R] 0.800 1.000 1.200 Run 3 Theoretical [U/Umax] Vs. [r/R] 0.000 0.200 0.400 0.600 [r/R] 0.800 1.000 1.200 0.000 0.200 0.400 0.600 [r/R] 0.800 1.000 1.200 ...
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This note was uploaded on 10/17/2010 for the course ME 335 taught by Professor Chaturvedi during the Spring '10 term at Old Dominion.

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