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Reactor Geometry 4 Diameter of the reactor T = 50.0 4 Height of the cylindrical portion H = 80.0 4 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/m3 Viscosity 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 Liquid level height in the reactor from bottom
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### Transcript of 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

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

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

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

Pitched Blade turbine 180 degree concave

Back to data sheet

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

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

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

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

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

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

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

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

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

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

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