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ANSYS Polystat User's Guide

Release 19.0ANSYS, Inc.

January 2018Southpointe

2600 ANSYS Drive

Canonsburg, PA 15317

ANSYS, Inc. and

ANSYS Europe,

ansysinfo@ansys.com

Ltd. are UL

http://www.ansys.com

registered ISO

(T) 724-746-3304

(F) 724-514-9494

9001: 2008

companies.

Table of Contents

Using This Manual ....................................................................................................................................... vii

1. The Contents of This Manual .............................................................................................................. vii

2.The Contents of the ANSYS Polyflow Manuals ..................................................................................... vii

1. Introduction ............................................................................................................................................ 1

1.1. Objectives ........................................................................................................................................ 1

1.2. How to Characterize Mixing? ............................................................................................................. 1

1.3. Classification of Flows, Capabilities of the Mixing Module .................................................................. 2

1.4. General Explanation on the Way to Solve a Mixing Task ...................................................................... 4

1.5.The Numerical Techniques Involved in the Mixing Module ................................................................. 6

1.6. Examples .......................................................................................................................................... 7

1.6.1. Example 50:The Rectangular Cavity .......................................................................................... 7

1.6.2. Example 51: Coextrusion of Polymers in a Square Channel ........................................................ 7

1.6.3. Example 52: Flat Die ................................................................................................................. 7

1.6.4. Example 46: Periodic Flow Through a Kenics Mixer .................................................................... 8

1.6.5. Example 37: Mixer 2-D .............................................................................................................. 8

1.6.6. Example 65: Adaptive Meshing for Moving Parts; Mixer 2-D ....................................................... 8

1.6.7. Example 91: Dispersion ............................................................................................................ 8

1.6.8. Example 116: Distributive Mixing Analysis in the Mixer GK7N .................................................... 8

1.7. Known Limitations in ANSYS Polystat 19.0 ......................................................................................... 9

2.The Mixing Theory ................................................................................................................................. 11

2.1. Introduction ................................................................................................................................... 11

2.2. Kinematic Parameters ..................................................................................................................... 12

2.2.1. Kinematic Parameters for 2D Flows ......................................................................................... 12

2.2.2. Kinematic Parameters for 3D Flows ......................................................................................... 13

2.2.3. Statistical Analysis .................................................................................................................. 14

2.2.3.1. Mean and Standard Deviation ........................................................................................ 14

2.2.3.2. Cumulated Probability Function (or Distribution Function) ............................................. 15

2.2.3.3. Density of Probability Function ...................................................................................... 15

2.2.3.4. Percentiles ..................................................................................................................... 16

2.2.3.5. Histograms .................................................................................................................... 16

2.2.3.6. Correlations ................................................................................................................... 17

2.3. Homogenization ............................................................................................................................. 17

2.3.1. Definition ............................................................................................................................... 17

2.3.2. Numerical Method ................................................................................................................. 19

2.4. Distributive Mixing ......................................................................................................................... 20

2.4.1. Distribution Index .................................................................................................................. 20

2.4.2. Distribution in Zones .............................................................................................................. 22

2.4.3. Deviation of Points Concentration .......................................................................................... 23

2.5. Disagglomeration ........................................................................................................................... 24

2.6. Comment ....................................................................................................................................... 29

3. Mixing Tasks in Polydata ....................................................................................................................... 31

3.1. Creating a New Mixing Task ............................................................................................................. 31

3.2. Using the General Menu of a Mixing Task ......................................................................................... 33

3.3. Definition of the Flow Domain ........................................................................................................ 35

3.4. Definition of the Boundary Conditions ............................................................................................ 36

3.4.1. Specification of the Boundary Type ......................................................................................... 37

3.4.2. Specification of a Stopping Plane ............................................................................................ 42

3.5. Definition of the Flow Field ............................................................................................................. 44

3.5.1. Steady-State Flow .................................................................................................................. 44

3.5.2.Time-Dependent Flow ............................................................................................................ 45

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of ANSYS, Inc. and its subsidiaries and affiliates.

3.6. Parameters for the Generation of the Material Points ....................................................................... 48

3.7. Parameters for the Tracking ............................................................................................................. 55

3.8. Selection of Properties .................................................................................................................... 57

3.8.1. Parameters for the Kinematic Mixing Properties ...................................................................... 59

3.9. Parameters for the Storage of the Results ........................................................................................ 60

3.10. Definition of Moving Parts ............................................................................................................. 61

3.11. Definition of the Kinematic Analysis .............................................................................................. 62

3.11.1. Management of Properties ................................................................................................... 65

3.12. Definition of the Distribution Analysis ........................................................................................... 67

4. The Polystat User’s Manual ................................................................................................................... 73

4.1. The File Menu ................................................................................................................................. 75

4.1.1. Open... ................................................................................................................................... 76

4.1.2. Options .................................................................................................................................. 76

4.1.3. Read Data .............................................................................................................................. 77

4.1.4. Read mesh ............................................................................................................................. 78

4.1.5. Run ........................................................................................................................................ 79

4.1.6. Draw results ........................................................................................................................... 79

4.1.7. Draw Stats. ............................................................................................................................. 85

4.1.8. WRITE Trajectories .................................................................................................................. 87

4.1.9. WRITE Slices ........................................................................................................................... 89

4.1.10. WRITE Stat. ........................................................................................................................... 91

4.1.11. Save ..................................................................................................................................... 92

4.2.The Properties Menu ....................................................................................................................... 93

4.2.1. Definition ............................................................................................................................... 93

4.2.2. See Properties ........................................................................................................................ 94

4.2.3. Create Properties ................................................................................................................... 94

4.2.3.1. || A || .............................................................................................................................. 96

4.2.3.2. A^x ............................................................................................................................... 97

4.2.3.3. exp ( A ) ......................................................................................................................... 97

4.2.3.4. log ( A ) .......................................................................................................................... 98

4.2.3.5. A + B, A - B ..................................................................................................................... 98

4.2.3.6. A / B .............................................................................................................................. 98

4.2.3.7. A * B .............................................................................................................................. 98

4.2.3.8. Rotate ........................................................................................................................... 99

4.2.3.9.Translate ...................................................................................................................... 100

4.2.3.10. Derivate .................................................................................................................... 101

4.2.3.11. Integrate ................................................................................................................... 102

4.2.3.12. k (constant) ............................................................................................................... 103

4.2.3.13. A ( Slice ) .................................................................................................................... 104

4.2.3.14. Concentration ........................................................................................................... 106

4.2.3.15. Min / Max .................................................................................................................. 107

4.2.3.16. Extract ....................................................................................................................... 108

4.2.3.17. Step .......................................................................................................................... 109

4.2.3.18. Instant. Eff. ................................................................................................................. 110

4.2.3.19.Time Aver. Eff. ............................................................................................................. 111

4.2.3.20. Shear Rate ................................................................................................................. 112

4.2.3.21. Melting Index ............................................................................................................ 113

4.2.4. Disagglomeration Properties ................................................................................................ 114

4.2.4.1. Disagglomeration ........................................................................................................ 116

4.2.4.2.Typical size of agglomerates ......................................................................................... 117

4.2.4.3. Fraction of agglomerates of given size .......................................................................... 118

4.2.4.4. Number of agglomerates of given size ......................................................................... 119

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Polystat User's Guide

4.2.4.5. Mass of agglomerates of given size .............................................................................. 120

4.3. The Trajectories Menu ................................................................................................................... 121

4.3.1. See the Set of Trajectories ..................................................................................................... 121

4.3.2. CREATE a new set of trajectories ........................................................................................... 122

4.3.3. COMBINE sets of trajectories ................................................................................................. 123

4.3.4.The SELECT one single trajectory Option ............................................................................... 124

4.3.5. SEARCH stagnation points .................................................................................................... 125

4.4. The Slices Menu ............................................................................................................................ 127

4.4.1. See the Set of Slices .............................................................................................................. 128

4.4.2. Automatic Slicing ................................................................................................................. 129

4.4.3. Manual Slicing ...................................................................................................................... 130

4.4.4. Sub - Slicing ......................................................................................................................... 131

4.5. The Statistics Menu ....................................................................................................................... 132

4.5.1. See the Statistical Functions ................................................................................................. 132

4.5.2. Create Statistical Functions ................................................................................................... 133

4.5.2.1.The Property along a trajectory Function ...................................................................... 136

4.5.2.2.The Sum Function ........................................................................................................ 137

4.5.2.3.The Mean + Standard Deviation Function ..................................................................... 138

4.5.2.4.The Correlation Function .............................................................................................. 139

4.5.2.5. The Probability Function .............................................................................................. 140

4.5.2.6.The Auto-Correlation Function of the Concentration Function ...................................... 141

4.5.2.7.The Distance distribution Function ............................................................................... 142

4.5.2.8.The Distribution in zones Function ............................................................................... 144

4.5.2.9.The Sum A <op> Sum B Function ................................................................................. 146

4.5.2.10.The Smoothing Function ............................................................................................ 147

4.5.2.11.The Density of Probability Function ............................................................................ 149

4.5.2.12.The Percentile Function .............................................................................................. 150

4.5.2.13.The Histogram Function ............................................................................................. 151

4.5.2.14. The Segregation Scale Function ................................................................................. 152

4.5.2.15.The Deviation Function .............................................................................................. 153

4.5.2.16.The Points Concentration Deviation Function ............................................................. 155

4.5.3. New disagglomeration functions .......................................................................................... 156

4.5.3.1.The See disagglomeration along a single trajectory Function ........................................ 158

4.5.3.2.The Mean disagglomeration function ........................................................................... 159

4.5.3.3.The Probability function ............................................................................................... 161

4.6. The Help Menu ............................................................................................................................. 162

4.7. Additional Definitions ................................................................................................................... 162

4.7.1. The Slices ............................................................................................................................. 162

4.7.2. The Zones ............................................................................................................................ 163

4.7.3. Weighting ............................................................................................................................ 164

A. The Simulation of the Distribution ......................................................................................................... 167

B.The Global Efficiency of Stretching ......................................................................................................... 169

C. Adaptive Meshing and Mixing Task ........................................................................................................ 171

D. Sliding Mesh Technique and Mixing Task ............................................................................................... 173

Bibliography ............................................................................................................................................. 175

of ANSYS, Inc. and its subsidiaries and affiliates.

Polystat User's Guide