Simulation report Paints .pdf

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Original filename: Simulation report_Paints.pdf
Title: Slide 1
Author: Ameya Durve

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ThermoTech – MixIT Sample Problem
Report: 001 – MixIT results

Reactor Geometry

2

Operating Conditions
• Operating Volume: 30 m^3
• Liquid
– density: 1500 kg/m^3
– Viscosity: non-Newtonian
• Viscosity model: power law

• Impeller speed: 34 RPM

4

5

Liquid Viscosity
Shear
rate, 1/s

Shear
stress, Pa

Actual
Viscosity,
Pa-s

Predicted
viscosity,
Pa-s

0.0157

3.69

235

249.77

0.0246

4.63

188

186.54

Power law fluid

0.0386

5.52

143

139.18

0.0606

6.46

107

103.82

𝜇 = 𝐾 𝛾 𝑛−1

0.0951

7.5

78.9

77.46

0.149

8.68

58.2

57.85

0.234

10

42.9

43.14

0.367

11.6

31.7

32.20

0.576

13.6

23.6

24.02

0.904

15.8

17.5

17.92

1.42

18.5

13.1

13.36

2.23

21.9

9.83

9.96

3.49

25.9

7.43

7.45

5.48

30.8

5.63

5.55

8.59

36.8

4.29

4.15

K = 16.783
n = 0.35
where,
K – consistency index
n – flow behavior index
𝛾 – shear rate (1/s)
𝜇 – viscosity (Pa-s)

Velocity distribution





Velocity near the impeller is high but it quickly decreases as we
move away from the impeller
The bottom hydrofoil impeller shows radial profile and has formed
it’s own circulation loop
The average velocity in the vessel is 0.49 m/s

7

Shear and velocity distribution

Contours of strain rate (1/s)

Contours of viscosity (Pa-s)

• The average strain rate in the vessel is 3.58 1/s.
• Consequently, the average viscosity is 7.33 Pa-s

9

Mixing time analysis

CoV =

1
𝑉

𝑐
𝑐

−1

2

V – vessel volume
c – actual tracer concentration
𝑐 - average tracer concentration in the vessel

• Coefficient of Variance (CoV) is the measure of degree
of mixing in the vessel
• CoV = 0.1 indicates 90% homogeneity

11

13

Summary
Impeller -1

Impeller – 2

Impeller – 3

Impeller - 4

Tip speed, m/s

2.76

3.83

3.83

2.58

Power consumption, kW

0.72

3.11

3.21

1.42

Pumping capacity, m^3/s

0.23

1.53

1.39

0.97

Power Number

0.29

0.25

0.26

0.81

Flow number

0.1

0.27

0.25

0.56

Units

Values

kW

8.45

kW/m^3

0.28

Average strain rate

1/s

3.58

Blending time (90%)

s

150

m/s

0.49

Volume average TKE

m^2/s^2

0.007

Volume average TDR

m^2/s^3

0.098

Parameter

Parameter
Total Power consumption
Power per unit Volume

Volume average velocity


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