Agitator Power Requirement and Mixing Intensity Calculation

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


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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


Select the value from Pumping number chart based on Reynolds number


Chemineer HD3Wide HydrofoilPitched Blade TurbineRushton 6 Blade Turbine180 Degree Concave

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Wide Hydrofoil Pitched Blade turbine

Pitched Blade turbine 180 degree concave

Back to data sheet

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

0.8 Power 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

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 Power 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

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

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

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

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

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


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

Chemineer HE3


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

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

Wide Hydrofoil


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


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

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

Pitched Blade


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

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

Rushton 6 blade


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

Agitator Power Requirement and Mixing Intensity Calculation

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