BinDiameter, m (2r) 4Bulk depth, m 4

Physical 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_1 270 223 168 267 76n 0.7 0.7 0.7 0.7 0.6

Air flow resistance in bulk

(Pa) Rye (Pa) Rice (Pa) Maize0.0000 0.00 0 0 0 0 00.0100 0.13 72 97 73 60 230.0200 0.25 178 238 180 148 610.0300 0.38 302 404 304 250 1080.0400 0.50 439 587 442 363 1610.0500 0.63 587 785 591 486 2200.0600 0.75 743 995 749 615 2840.0700 0.88 908 1215 916 752 3520.0800 1.00 1081 1446 1089 894 4250.0900 1.13 1259 1685 1269 1042 5010.1000 1.26 1444 1932 1456 1195 5800.1100 1.38 1635 2187 1648 1353 6630.1200 1.51 1830 2449 1845 1515 7490.1300 1.63 2031 2718 2048 1681 8380.1400 1.76 2237 2993 2255 1851 9300.1500 1.88 2446 3274 2466 2025 10240.1600 2.01 2661 3560 2682 2202 11210.1700 2.14 2879 3852 2902 2383 12200.1800 2.26 3101 4149 3126 2567 13220.1900 2.39 3327 4451 3353 2754 14260.2000 2.51 3556 4758 3585 2944 1532

Air velocity, m/s

Airflow rate, m3/s

(Pa) Barley

(Pa) Wheat

Resistance curves were plotted using the equation above for all the crops, Maize is the crop which was choosen for the final step.

Resistance curves were plotted using the equation above for all the crops, Maize is the crop which was choosen for the final step.

Values for all the constants were given in the adjacent tabel. Which were used in the given equation

Values for all the constants were given in the adjacent tabel. Which were used in the given equation

Volume of Air/sec (πr2 *vair )

Volume of Air/sec (πr2 *vair )

Dimensions of the storage structure (cylinder)

Dimensions of the storage structure (cylinder)

Coeficientc1 m^n-4 kg s^-n

Rel. pore volumeepsilon

poured shaken

0.40.350.360.420.36

27022316826776

0.440.390.390.460.38

0.70.70.70.70.6

BarleyRyeWheatRiceMaize

Coefficientn

Commodity

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 210

500

1000

1500

2000

2500

3000

3500

4000

4500

5000

(Pa) Barley

(Pa) Rye

(Pa) Wheat

(Pa) Rice

(Pa) Maize

Resistance curves were plotted using the equation above for all the crops, Maize is the crop which was choosen for the final step.

Resistance curves were plotted using the equation above for all the crops, Maize is the crop which was choosen for the final step.

Values for all the constants were given in the adjacent tabel. Which were used in the given equation

Values for all the constants were given in the adjacent tabel. Which were used in the given equation

Δpbulk=c1⋅h⋅1

ε4⋅v2−n

Coeficientc1 m^n-4 kg s^-n

27022316826776

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 210

500

1000

1500

2000

2500

3000

3500

4000

4500

5000

(Pa) Barley

(Pa) Rye

(Pa) Wheat

(Pa) Rice

(Pa) Maize

Δpbulk=c1⋅h⋅1

ε4⋅v2−n

1. Reading points from manufacturers chart

n, rpm V_L p stat4000 1.11 30004000 1.81 28004000 2.78 18004000 3.8 400

2. Finding an equation via iteration

p_0 3300c 150m 2.20

n1 n2n, rpm 4000 3500

V_L, m³/s p1, Pa p2, Pa0 3300 2526.5631 3150 2372.5032 2610.781 1818.6893 1618.263 799.30774 133.181 -725.9699

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

500

1000

1500

2000

2500

3000

3500

1; 2526.56252; 2372.5025869366

3; 1818.68902517233

4; 799.307697681981

1; 33002; 3150

3; 2610.78098700178

4; 1618.26323151905

133.181014145053

1; 3000

2; 2800

3; 1800

4; 400

Fanlines

Air Volume

Pres

sure

Value of the cofficients are as follows, the red line was fitted to the blue points by constantly changing these variables

Value of the cofficients are as follows, the red line was fitted to the blue points by constantly changing these variables

Value of the p1 has been fitted to the 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.

Value of the p1 has been fitted to the 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.

Referance points at 4000rpm were taken for Pressure and Air Flow volume.

Referance points at 4000rpm were taken for Pressure and Air Flow volume.

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

500

1000

1500

2000

2500

3000

3500

1; 2526.56252; 2372.5025869366

3; 1818.68902517233

4; 799.307697681981

1; 33002; 3150

3; 2610.78098700178

4; 1618.26323151905

133.181014145053

1; 3000

2; 2800

3; 1800

4; 400

Fanlines

Air Volume

Pres

sure

Value of the p1 has been fitted to the 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.

Value of the p1 has been fitted to the 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.

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

500

1000

1500

2000

2500

3000

3500

1; 2526.56252; 2372.5025869366

3; 1818.68902517233

4; 799.307697681981

1; 33002; 3150

3; 2610.78098700178

4; 1618.26323151905

133.181014145053

1; 3000

2; 2800

3; 1800

4; 400

Fanlines

Air Volume

Pres

sure

p1=p0−c⋅V̇mp2=( n2

n1)2

⋅p0−c⋅( n2

n1)2−m

V̇ m

p1=p0−c⋅V̇m

Airflow requirementAirflow rate, m3/s 1.50

1.50 01.50 3500

Reacting fan lines

p_0 1100c 150m 2.20

n1 n2n, rpm 4000 3500

V_L, m³/s p1, Pa p2, Pa0 1100 2526.56251 950 2372.502592 410.780987 1818.689033 -581.73677 799.3076984 -2066.819 -725.96988

Resistance line

Barley Rye Wheat RiceAir flow resistance in bulk

Pa Pa Pa Pa0.00 0 0 0 00.13 72 97 73 600.25 178 238 180 1480.38 302 404 304 2500.50 439 587 442 3630.63 587 785 591 4860.75 743 995 749 6150.88 908 1215 916 7521.00 1081 1446 1089 8941.13 1259 1685 1269 10421.26 1444 1932 1456 11951.38 1635 2187 1648 13531.51 1830 2449 1845 15151.63 2031 2718 2048 16811.76 2237 2993 2255 18511.88 2446 3274 2466 20252.01 2661 3560 2682 22022.14 2879 3852 2902 23832.26 3101 4149 3126 25672.39 3327 4451 3353 2754

Airflow rate, m3/s

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

500

1000

1500

2000

2500

3000

3500

Target

Maize Resistance

Fan Line

750 Pascals is the operationing pressure at 1.5mcu./sec Airflow will be achieved for Maize.

750 Pascals is the operationing pressure at 1.5mcu./sec Airflow will be achieved for Maize.

p_0 was constantly reduced to get the required intersection of all the three lines, Final value of our coffecients, p_0,c and m are as follows.

p_0 was constantly reduced to get the required intersection of all the three lines, Final value of our coffecients, p_0,c and m are as follows.

Given Preconditions ( Target Line) Given Preconditions ( Target Line)

2.51 3556 4758 3585 2944

Maize

Pa0

2361

108161220284352425501580663749838930

10241121122013221426

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

500

1000

1500

2000

2500

3000

3500

Target

Maize Resistance

Fan Line

750 Pascals is the operationing pressure at 1.5mcu./sec Airflow will be achieved for Maize.

750 Pascals is the operationing pressure at 1.5mcu./sec Airflow will be achieved for Maize. optimum

1532

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 50

500

1000

1500

2000

2500

3000

3500

Target

Maize Resistance

Fan Line