agitator power requirement and mixing intensity calculation
TRANSCRIPT
![Page 1: Agitator Power Requirement and Mixing Intensity Calculation](https://reader033.vdocuments.us/reader033/viewer/2022042421/545ca444b1af9f55538b4af7/html5/thumbnails/1.jpg)
Reactor Geometry
4 Diameter of the reactor T = 50.0
4 Height of the cylindrical portion H = 80.0
4 Liquid level height in the reactor from bottom Z = 70.0
Total Volume of the reactor V = 2.8 m3
1 Select the type of Agitator Pitched Blade Turbine
4 D/T Ratio 0.5
Agitator rpm N = 110 rpm
Fluid Properties
Density ρ = 1100 kg/m3Viscosity µ = 100 cp
Calculation
1) Reynolds Number
Diameter of the agitator D = 0.6 m
Reynolds Number Re = 8132
2)Power Requirement
Power Number Np = 1.37
Power Required P = 1.61 hp(Assuming 80% Loading)
3) Mixing Intensity
Pumping Number Nq = 0.6
Equivalent Diameter Teq = 5.00 ft
Volumetric flow rate Q = 9.9 ft3/sec
Cross sectional area A = 13.6 ft2
Velocity V = 0.729 ft/sec
Select the value from Power number chart based on Reynolds number
Use 5.5 for Rushton six blade turbine & 3.2 for concave 180 degree turbine
Select the value from Pumping number chart based on Reynolds number
Use 0.72 for Rushton six blade turbine & 0.7 for concave 180 degree turbine
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4) Agitator requiredNo of Agitators Required = 2Z/T = 1.40
0.25 Chemineer HD30.3 Wide Hydrofoil0.4 Pitched Blade Turbine0.5 Rushton 6 Blade Turbine
180 Degree Concave
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Select the value from Power number chart based on Reynolds number
Use 5.5 for Rushton six blade turbine & 3.2 for concave 180 degree turbine
Select the value from Pumping number chart based on Reynolds number
Use 0.72 for Rushton six blade turbine & 0.7 for concave 180 degree turbine
![Page 4: Agitator Power Requirement and Mixing Intensity Calculation](https://reader033.vdocuments.us/reader033/viewer/2022042421/545ca444b1af9f55538b4af7/html5/thumbnails/4.jpg)
Chemineer HD3Wide HydrofoilPitched Blade TurbineRushton 6 Blade Turbine180 Degree Concave
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Wide Hydrofoil Pitched Blade turbine
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Pitched Blade turbine 180 degree concave
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Power NumberNarrow Hydrofoil
Power No
D/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5
100 0.73 0.71 0.69 0.68200 0.53 0.52 0.49 0.46300 0.47 0.45 0.42 0.4500 0.41 0.39 0.37 0.35800 0.38 0.37 0.34 0.32
1200 0.36 0.34 0.32 0.33000 0.33 0.32 0.3 0.28
10000 0.33 0.32 0.29 0.27
Reynolds No
100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8Power Number Curve for Chemineer HE3
D/T = 0.25 D/T = 0.3 D/T = 0.4 D/T = 0.5Reynolds Number
Pow
er N
umbe
r
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100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8Power Number Curve for Chemineer HE3
D/T = 0.25 D/T = 0.3 D/T = 0.4 D/T = 0.5Reynolds Number
Pow
er N
umbe
r
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Wide HydrofoilPower No
D/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5
100 2.28 2.24 2.15 2.11200 1.78 1.75 1.69 1.65300 1.56 1.53 1.48 1.45500 1.3 1.29 1.24 1.23800 1.14 1.12 1.09 1.08
1200 1.09 1.08 1.05 1.033000 1.06 1.05 1 0.98
10000 1.06 1.05 1 0.98
Reynolds No
100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.5
1
1.5
2
2.5
Power Number Curve for Wide Hydrofoil
D/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5Reynolds Number
Pow
er N
umbe
r
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100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.5
1
1.5
2
2.5
Power Number Curve for Wide Hydrofoil
D/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5Reynolds Number
Pow
er N
umbe
r
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Pitched Blade
Power No
D/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5
100 2.14 2.14 2.14 2.14200 1.75 1.75 1.75 1.72300 1.6 1.6 1.6 1.6500 1.46 1.46 1.46 1.46800 1.38 1.38 1.38 1.38
1200 1.37 1.37 1.37 1.373000 1.37 1.37 1.37 1.37
10000 1.37 1.37 1.37 1.37
Reynolds No
100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.5
1
1.5
2
2.5
Power Number curve for Pitched blade turbine
D/T=0.25
D/T=0.3
D/T=0.4
D/T=0.5
Reynolds Number
Pow
er N
umbe
r
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100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.5
1
1.5
2
2.5
Power Number curve for Pitched blade turbine
D/T=0.25
D/T=0.3
D/T=0.4
D/T=0.5
Reynolds Number
Pow
er N
umbe
r
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Rushton 6 Blade
Power NoD/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5
100 5.5 5.5 5.5 5.5200 5.5 5.5 5.5 5.4300 5.5 5.5 5.5 5.5500 5.5 5.5 5.5 5.5800 5.5 5.5 5.5 5.5
1200 5.5 5.5 5.5 5.53000 5.5 5.5 5.5 5.5
10000 5.5 5.5 5.5 5.5
180 Degree Concave
Power NoD/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5
100 3.6 3.6 3.6 3.6200 3.2 3.2 3.2 3.15300 3.2 3.2 3.2 3.2500 3.2 3.2 3.2 3.2800 3.2 3.2 3.2 3.2
1200 3.2 3.2 3.2 3.23000 3.2 3.2 3.2 3.2
10000 3.2 3.2 3.2 3.2
Reynolds No
Reynolds No
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Chemineer HE3
Power NoD/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5
100 0.33 0.31 0.3 0.3200 0.34 0.33 0.32 0.32300 0.36 0.35 0.34 0.34500 0.38 0.36 0.36 0.35800 0.43 0.42 0.41 0.39
1200 0.45 0.44 0.43 0.413000 0.51 0.47 0.45 0.44
10000 0.57 0.55 0.53 0.51
Reynolds No
100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.1
0.2
0.3
0.4
0.5
0.6
Pumping Number curve for HE3 Impeller
D/T=0.25
D/T=0.3
D/T=0.4
D/T=0.5
Reynolds Number
Pum
ping
Num
ber
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100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.1
0.2
0.3
0.4
0.5
0.6
Pumping Number curve for HE3 Impeller
D/T=0.25
D/T=0.3
D/T=0.4
D/T=0.5
Reynolds Number
Pum
ping
Num
ber
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Wide Hydrofoil
Power NoD/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5
100 0.44 0.41 0.36 0.35200 0.54 0.48 0.43 0.4300 0.58 0.51 0.45 0.43500 0.64 0.57 0.51 0.46800 0.67 0.6 0.54 0.48
1200 0.71 0.62 0.57 0.53000 0.77 0.69 0.62 0.55
10000 0.8 0.73 0.63 0.56
Pitched Blade
Power NoD/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5
100 0.45 0.42 0.37 0.36200 0.55 0.5 0.45 0.41300 0.6 0.54 0.48 0.44500 0.66 0.61 0.54 0.47800 0.7 0.65 0.57 0.5
1200 0.74 0.67 0.6 0.523000 0.82 0.75 0.66 0.57
10000 0.88 0.8 0.68 0.6
Reynolds No
Reynolds No
100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Pumping Number curve for Wide Hydrofoil
D/T=0.25
D/T=0.3
D/T=0.4
D/T=0.5
Reynolds Number
Pum
ping
Num
ber
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100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Pumping Number curve for Wide Hydrofoil
D/T=0.25
D/T=0.3
D/T=0.4
D/T=0.5
Reynolds Number
Pum
ping
Num
ber
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Pitched Blade
Power NoD/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5
100 0.45 0.42 0.37 0.36200 0.55 0.5 0.45 0.41300 0.6 0.54 0.48 0.44500 0.66 0.61 0.54 0.47800 0.7 0.65 0.57 0.5
1200 0.74 0.67 0.6 0.523000 0.82 0.75 0.66 0.57
10000 0.88 0.8 0.68 0.6
Reynolds No
100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Pumping Number curve for PBT
D/T=0.25
D/T=0.3
D/T=0.4
D/T=0.5
Reynolds Number
Pum
ping
Num
ber
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100 1100 2100 3100 4100 5100 6100 7100 8100 9100 10100 111000
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Pumping Number curve for PBT
D/T=0.25
D/T=0.3
D/T=0.4
D/T=0.5
Reynolds Number
Pum
ping
Num
ber
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Rushton 6 blade
Power NoD/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5
100 0.7 0.7 0.7 0.7200 0.72 0.72 0.72 0.72300 0.72 0.72 0.72 0.72500 0.72 0.72 0.72 0.72800 0.72 0.72 0.72 0.72
1200 0.72 0.72 0.72 0.723000 0.72 0.72 0.72 0.72
10000 0.72 0.72 0.72 0.72
180 Degree Concave
Power No
D/T=0.25 D/T=0.3 D/T=0.4 D/T=0.5100 0.68 0.68 0.68 0.68200 0.7 0.7 0.7 0.7300 0.7 0.7 0.7 0.7500 0.7 0.7 0.7 0.7800 0.7 0.7 0.7 0.7
1200 0.7 0.7 0.7 0.73000 0.7 0.7 0.7 0.7
10000 0.7 0.7 0.7 0.7
Reynolds No
Reynolds No