ANSYS Polystat用户指南

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"ANSYS Polystat User's Guide 是ANSYS公司发布的一份关于ANSYS Polystat软件的用户指南，适用于版本19.0。该文档详细介绍了如何使用这款软件进行多物理场分析，主要关注于静态分析。ANSYS是一家提供高级工程模拟软件的公司，其产品广泛应用于各个工程领域。" 这篇用户指南涵盖了ANSYS Polystat的主要功能和操作流程，旨在帮助用户理解和应用这款工具。ANSYS Polystat是一款强大的工程仿真软件，主要用于处理各种物理场问题，如热力学、结构力学、流体动力学等静态问题。通过该软件，工程师可以对复杂系统进行多物理场耦合分析，以预测和优化设计性能。在文档中，你可以找到关于以下主题的详细信息： 1. **软件安装与启动**：如何下载、安装和激活ANSYS Polystat，包括系统要求和配置建议。 2. **工作环境**：熟悉软件界面，包括菜单、工具栏和工作区布局，以及如何自定义工作环境以适应个人偏好。 3. **模型创建**：学习如何创建几何模型，导入CAD数据，以及进行必要的几何修复和简化。 4. **边界条件设定**：了解如何定义边界条件，如荷载、约束、初始条件和材料属性，以准确模拟实际工况。 5. **求解器设置**：设置求解策略，包括时间步进、收敛标准和算法选择，以确保计算效率和精度。 6. **多物理场耦合**：理解如何处理不同物理现象之间的相互作用，如热-结构耦合或流-固耦合问题。 7. **后处理**：学习结果可视化和数据导出，包括生成图形报告、动画和截面视图，以便于分析和解释结果。 8. **案例研究**：可能包含多个实际应用案例，这些案例详细演示了如何使用ANSYS Polystat解决特定工程问题。 9. **故障排查与支持**：提供了常见问题的解决方案，以及如何联系ANSYS的技术支持获取帮助。 10. **版权和商标信息**：强调了软件的知识产权，提醒用户未经授权不得复制或分发。 ANSYS Polystat User's Guide是学习和精通这款软件的重要参考资料，无论是新手还是经验丰富的用户，都能从中获得宝贵的知识和技巧，提高工作效率并深化对多物理场分析的理解。

1.6.4. Example 46: Periodic Flow Through a Kenics Mixer

In this example, you analyze the distributive mixing generated by a Kenics mixer. As the complete flow

domain is too large to be used, the flow calculation is reduced to a single mixing element of the mixer.

The flow field is assumed to be spatially periodic. The generation of striations through successive mixing

sections and the efficiency of the process are analyzed.

3D steady state flow, periodic boundary conditions, static mixer, Polystat, distributive mixing,

preset statistical analysis

Keywords:

1.6.5. Example 37: Mixer 2-D

This example simulates the 2D transient flow produced by the rigid rotation of two cams in a batch

mixer. The dispersive mixing capability of the mixer is evaluated. Forces and torque along the cams are

also evaluated.

mesh superposition technique, batch mixer, transient flow problem, forces and torque,

dispersive mixing, mixing index, eigen values of the stress tensor, shear rate, vorticity, Polystat,

preset statistical analysis

Keywords:

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

This example simulates the 2D transient flow produced by the rigid rotation of two cams in a batch

mixer. As in example 37, the mesh superposition technique is used to take into account the rotation

of the cams. Adaptive meshing is used to refine the mesh locally in the neighborhood of the cams, in

order to get a more accurate evaluation of the flow field. As the mesh changes with time, it cannot be

used anymore to perform tracking of material points; you must save the flow field in a set of CSV files

first, which you map onto a new, uniformly refined mesh. The tracking is eventually performed on this

new mesh with the mapped flow field.

mesh superposition technique, batch mixer, time dependent flow, adaptive meshing,

conversion form CSV files, mixing task, statistical analysis

Keywords:

1.6.7. Example 91: Dispersion

This example presents the models of erosion and rupture in a simple shear flow. You analyze the effect

of various functions and parameters of these models.

dispersion, disagglomeration, erosion, rupture, PolystatKeywords:

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

This example simulates the 3D transient flow produced by the rigid rotation of two rotors in a batch

mixer (mixer GK7N). As in Examples 37 and 65, the mesh superposition technique is used to take into

account the rotation of the rotors. The distributive mixing capability of the mixer is evaluated.

mesh superposition technique, batch mixer, time dependent flow, distributive mixing, mixing

task, preset statistical analysis, Polystat

Keywords:

of ANSYS, Inc. and its subsidiaries and affiliates.8

Introduction

1.7. Known Limitations in ANSYS Polystat 19.0

This section lists limitations that are known to exist in ANSYS Polystat. Where possible, suggested

workarounds are provided.

• Mesh

– ANSYS Polystat does not support mixing tasks on CutCell meshes.

– ANSYS Polystat does not support mixing tasks on meshes with subdivided elements. See Appendix C: Ad-

aptive Meshing and Mixing Task (p. 171) for a method to circumvent this limitation.

– ANSYS Polystat does not support mixing tasks if the flow field is meshed using the sliding mesh technique.

See Appendix D: Sliding Mesh Technique and Mixing Task (p. 173) for a method to circumvent this limitation.

– When using the Mesh Superposition Technique (MST) with moving parts (with or without slippage along

the moving parts), the trajectories and kinematics of the deformation may be affected when material

points (massless particles) are close to the surface of the moving parts.

– When using MST with moving parts, it may happen that some of the material points get overlapped by

a moving part. This is due to the accumulation of small errors along the trajectory of the material points.

There are two ways (which can be combined) to limit this problem: decreasing the time step between

two successive flows and refining the mesh of the flow domain.

– ANSYS Polystat does not support mixing tasks if the mesh of the flow domain changes with time (changes

in coordinate position of the mesh vertices and/or number and shape of mesh elements).This does not

include the use of the Mesh Superposition Technique with moving parts on a transient flow field, because

the underlying mesh remains constant.

• Boundary conditions

– ANSYS Polystat does not support mixing tasks on flow fields defined by non-conformal boundaries.

– In some cases, material points (massless particles) may stop on an impermeable boundary (wall, free

surface, plane of symmetry) due to stagnation of the flow field in close proximity to these boundaries.

This can have a dramatic effect on the flow statistics, particularly if you are analyzing an open flow field

(with entry and exit of fluid). When slicing from entry to exit you should confirm that the number of

samples in each slice remains constant. If the concentration of samples decreases by more than 10–15%,

it may be necessary to refine the mesh.

• Material properties

– ANSYS Polystat does not support mixing tasks on compressible fluids.

of ANSYS, Inc. and its subsidiaries and affiliates.

Known Limitations in ANSYS Polystat 19.0

Chapter 2:The Mixing Theory

2.1. Introduction

In polymer blending, a minor component is generally present as drops (or filaments) in a continuous

phase of a major component. Mixing is a process of deformation and rupture of the drops but also a

process of distribution of those drops in the whole flow domain. Good mixing is characterized by small

and identical drops distributed uniformly throughout all of flow domain.

Deformation of drops is promoted by the viscous stress exerted on the drops by the flow field and

counteracted by the interfacial stress . is the interfacial tension and , the local radius. The capillary

number is useful to characterize mixing.

(2.1)

For a given pair of polymers, a critical Capillary number may be found. It corresponds to the situation

where the viscous stress competes with the interfacial stress. The drop is extended and finally breaks

up into smaller droplets. This process is called dispersive mixing. Note that an extensional flow field is

more efficient for breaking up drops into droplets than a shear flow is.

If the capillary number is much higher than the critical capillary number, then the viscous stress overrules

the interfacial stress, and the drop is extended but does not break up. This process is called distributive

mixing. Conversely, if the capillary number is much lower than the critical capillary number, then the

interfacial stress dominates and the drop is only slightly deformed.

In general, mixing begins with a distributive step (drops are deformed passively), followed by a dispersive

step (drops break up into droplets), and finally by the distribution of the droplets in the flow. The fol-

lowing paragraphs focus on distributive mixing (Kinematic Parameters (p. 12) and Homogeniza-

tion (p. 17)) and on distribution of material points into the flow domain (Distributive Mixing (p. 20)).

Dispersive mixing can also be analyzed. You can add postprocessors to the flow calculation:

• Mixing index (or 'flow number') — indicates if the flow is locally a rigid motion (mixing index = 0), a shear

flow (mixing index = 0.5), or in extension (mixing index = 1).

• Eigen values of the extra-stress tensor — this field gives access to the main component of the stress that

stretches and breaks the drops.

Once the flow and those postprocessors are determined, you can calculate the evolution of the mixing

index and the main stress along the trajectories of material points. With these data you can evaluate

the fraction of the matter experiencing a given stress value and evaluate the efficiency of the dispersive

mixing.

The process where solid particles are broken by erosion or rupture in smaller parts due to stresses applied

on them by a matrix (carbon black or silica in a rubber matrix, for example) is called dispersive mixing.

A new model has been developed by B. Alsteens and V. Legat [2] (p. 175) to simulate this process of

disagglomeration and is available in Polystat. The description of the model is found in Disagglomera-

tion (p. 24).

of ANSYS, Inc. and its subsidiaries and affiliates.

2.2. Kinematic Parameters

One way to measure mixing is to quantify the capacity of the flow to deform matter and to generate

interface. The following theory section neglects interfacial forces — the interface is passive and no

break-up into droplets can occur.

For 2D flows, the interface between fluids is a line. Instead of calculating the evolution of this interface

(a very complex and impossible task to perform because of the exponential growth of the interface),

the stretching of infinitesimal vectors attached to a large number of material points distributed in all

the flow domain is calculated. As the points move in the flow, the vectors are stretched. The stretching

and the rate of stretching of these vectors are properties that vary by time and location in the flow

domain. Statistical analysis of the results provide a global overview of the process. Using this method,

you have an objective and quantitative evaluation of the mixing of any process. You can, for example,

find areas of poor mixing in the domain (low stretching instead of exponential increase). For 3D flows,

the interface is a surface and the stretching of infinitesimal surfaces attached to material points is cal-

culated.

Let and denote the domain occupied by the homogeneous fluid at time 0 and , respectively.

The motion of the fluid is described by the relationship

(2.2)

where denotes the position of a material point in and in . The symbols and denote the

deformation gradient and the right Cauchy Green strain tensor between both configurations. The velocity

gradient and the rate of deformation tensor at time are denoted by and , respectively. For later

use, note that

(2.3)

The dot denotes the material time derivative.

2.2.1. Kinematic Parameters for 2D Flows

Consider in , a material fiber with a unit orientation which deforms into a material fiber

with a unit orientation at time . With denoting the length stretch . It follows [6] (p. 175)

that:

(2.4)

while is given by

(2.5)

Good mixing quality requires high values of throughout time and space. A local evaluation of the

efficiency of mixing [7] (p. 175) is given by the ratio

(2.6)

where

(2.7)

The values of this instantaneous efficiency are always included in the interval [-1; 1]. Through manipu-

lation it follows:

of ANSYS, Inc. and its subsidiaries and affiliates.12

The Mixing Theory

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