Task 2 fan selection

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Task 2 fan selection

  1. 1. Dimensions of Values for all theBin the storage constants were given inDiameter, m (2r) 4 structure the adjacent tabel.Bulk depth, m 4 (cylinder) Which were used in the given equationPhysical propertiesCommodity barley rye wheat rice maizeepsilon, poured 0.44 0.39 0.39 0.46 0.38epsilon, shaken 0.4 0.35 0.36 0.42 0.36c_1 Volume of 270 223 168 267 76n Air/sec 0.7 0.7 0.7 0.7 0.6 (πr2 *vair ) Air flow resistance in bulkAir velocity, m/ Airflow rate, (Pa)s m3/s Barley (Pa) Rye (Pa) Wheat (Pa) Rice (Pa) Maize 0.0000 0.00 0 0 0 0 0 0.0100 0.13 72 97 73 60 23 0.0200 0.25 178 238 180 148 61 0.0300 0.38 302 404 304 250 108 0.0400 0.50 439 587 442 363 161 0.0500 0.63 587 785 591 486 220 0.0600 0.75 743 995 749 615 284 0.0700 0.88 908 1215 916 752 352 0.0800 1.00 1081 1446 1089 894 425 0.0900 1.13 1259 1685 1269 1042 501 0.1000 1.26 1444 1932 1456 1195 580 0.1100 1.38 1635 2187 1648 1353 663 0.1200 1.51 1830 2449 1845 1515 749 0.1300 1.63 2031 2718 2048 1681 838 0.1400 1.76 2237 2993 2255 1851 930 0.1500 1.88 2446 3274 2466 2025 1024 0.1600 2.01 2661 3560 2682 2202 1121 0.1700 2.14 2879 3852 2902 2383 1220 0.1800 2.26 3101 4149 3126 2567 1322 0.1900 2.39 3327 4451 3353 2754 1426 0.2000 2.51 3556 4758 3585 2944 1532
  2. 2. r all the Commodity Coefficient Rel. pore volume Coeficient were given in n epsilon c1ent tabel. poured shaken m^n-4 kg s^-nere used in the ation Barley 0.7 0.44 0.4 270 Rye 0.7 0.39 0.35 223 Wheat 0.7 0.39 0.36 168 Rice 0.7 0.46 0.42 267 Maize 0.6 0.38 0.36 76 1 2− n ∆ pbulk = c1 ⋅ h ⋅ ⋅v ε 4 Resistance curves were 5000 plotted using the equation above for all the crops, Maize 4500 is the crop which was 4000 choosen for the final step. 3500 3000 Air velocity, m/s (Pa) Barley 2500 (Pa) Rye 2000 (Pa) Wheat (Pa) Rice 1500 (Pa) Maize 1000 500 0 Row 20 Row 22 Row 24 Row 26 Row 28 Row 30 Row 32 Row 34 Row 36 Row 38 Row 19 Row 21 Row 23 Row 25 Row 27 Row 29 Row 31 Row 33 Row 35 Row 37 Row 39
  3. 3. icient-4 kg s^-n 1 2− n ∆ pbulk = c1 ⋅ h ⋅ ⋅v ε 4 Air velocity, m/s (Pa) Barley (Pa) Rye (Pa) Wheat (Pa) Rice (Pa) Maize34 Row 36 Row 38Row 35 Row 37 Row 39
  4. 4. 1. Reading points from manufacturers chartn, rpm V_L p stat Referance points 4000 1.11 3000 at 4000rpm were 4000 1.81 2800 taken for 3500 3300 4000 2.78 1800 Pressure and Air 3150 4000 3.8 400 Flow volume. 3000 30002. Finding an equation via iteration 2500 2526.56 2372.5 2000p_0 3300 Pressure Value of thec 150 cofficients are as 1500m 2.20 follows, the red line was fitted to the n1 n2 blue points by 1000n, rpm 4000 3500 constantly changing these variablesV_L, m³/s p1, Pa p2, Pa 500 0 3300 2526.56 1 3150 2372.5 0 0 0.5 1 1. 2 2610.78 1818.69 3 1618.26 799.31 Value of the p1 has been fitted to the 4 133.18 -725.97 reference points , using the given equation for p1. Then the transformation step was taken by using the second equation which is for p2. The values of all the cofficients ( p_0, c, m) has been obtained by hit and trail method.
  5. 5. Fanlines 3300 3150 3000 2800 2610.78 2526.56 2372.5 1818.69 1800 1618.26 799.31 400 133.18 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Air Volumeted to the given equationtion step wasquation whichhe cofficientsned by hit and
  6. 6. 2 2 −m n  n 4.5 5 p2 =  2 n  ⋅ p0 − c ⋅  2  n    V m p = p − c ⋅V m   1   1  1 0
  7. 7. − c ⋅V m
  8. 8. Airflow requirement Given Preconditions 3500Airflow rate, m3/s 1.50 ( Target Line) 1.50 0 3000 1.50 3500 p_0 was constantly 2500 Reacting fan lines reduced to get thep_0 1100 required intersection of allc 150 the three lines, 2000m 2.20 Final value of our coffecients, p_0,c and m n1 n2 are as follows. 1500n, rpm 4000 3500V_L, m³/s p1, Pa p2, Pa 750 Pascals is the operationing 1000 0 1100 2526.56 pressure at 1.5mcu./sec Airflow 1 950 2372.5 will be achieved for Maize. 2 410.78 1818.69 500 3 -581.74 799.31 4 -2066.82 -725.97 0 0 0.5 Resistance line Barley Rye Wheat Rice Air flow resistance in bulk Airflow rate, m3/s Pa Pa Pa Pa 0.00 0 0 0 0 0.13 72 97 73 60 0.25 178 238 180 148 0.38 302 404 304 250 0.50 439 587 442 363 0.63 587 785 591 486 0.75 743 995 749 615 0.88 908 1215 916 752 1.00 1081 1446 1089 894 1.13 1259 1685 1269 1042 1.26 1444 1932 1456 1195 1.38 1635 2187 1648 1353 1.51 1830 2449 1845 1515 1.63 2031 2718 2048 1681 1.76 2237 2993 2255 1851 1.88 2446 3274 2466 2025 2.01 2661 3560 2682 2202 2.14 2879 3852 2902 2383 2.26 3101 4149 3126 2567 2.39 3327 4451 3353 2754 2.51 3556 4758 3585 2944
  9. 9. 3500 3000 2500 2000 Column D Column C Column G 1500 Column Boning 1000irflowe. optimum 500 0 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 Maize Pa 0 23 61 108 161 220 284 352 425 501 580 663 749 838 930 1024 1121 1220 1322 1426 1532
  10. 10. Column D Column C Column G Column B4 4.5 5

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