基于Kahan线性化快速计算梯度磁场下磁流变抛光区域抛光粉沉降特性

杨航; 张帅; 张云飞; 黄文; 何建国

doi:10.11884/HPLPB202234.210353

基于Kahan线性化快速计算梯度磁场下磁流变抛光区域抛光粉沉降特性

doi: 10.11884/HPLPB202234.210353

杨航^1,,
张帅¹,
张云飞^{2, 3},
黄文^{2, 3},
何建国²

1.
遵义师范学院工学院，贵州遵义 563006
2.
中国工程物理研究院机械制造工艺研究所，四川绵阳 621900
3.
中国工程物理研究院超精密加工技术重点实验室，成都 610200

基金项目: 国家“高档数控机床与基础制造装备”科技重大专项“巨型激光装置光学元件超精密制造系统示范工程”课题项目（2017ZX04022001）；贵州省基础研究计划项目（黔科合基础-ZK[2021]一般272）；遵义市科技局科技研发项目（遵市科合HZ字[2020]21号）

详细信息

作者简介:
杨　航，yhangde@qq.com

中图分类号: TH164
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- 被引次数: 0
出版历程
- 收稿日期: 2021-08-16
- 修回日期: 2022-04-01
- 录用日期: 2022-05-13
- 网络出版日期: 2022-05-18
- 刊出日期: 2022-07-20

Fast calculation of polishing powder sedimentation characteristics in magnetorheological polishing area under gradient magnetic field based on Kahan linearization

Yang Hang^1
,,
Zhang Shuai¹,
Zhang Yunfei^{2, 3},
Huang Wen^{2, 3},
He Jianguo²

1.
School of Engineering, Zunyi Normal University, Zunyi 563006, China
2.
Institute of Mechanical Manufacturing Technology, China Academy of Engineering Physics, Mianyang 621900, China
3.
Key Laboratory of Ultra-precision Processing Technology, China Academy of Engineering Physics, Chengdu 610200, China

摘要

摘要: 针对抛光粉沉降特性数值计算这一超大规模非线性问题，基于Kahan线性化解决了超大规模流固耦合计算问题。研究了以羟基铁粉和硅油为主要成分组合而成的抛光粉多相流在梯度磁场下抛光区域的沉降特性。以质量分数70%、粒径5 µm的羟基铁粉和粘度为0.973 Pa·s的硅油组合而成的抛光粉为研究对象，实现了不同的抛光轮转速、不同嵌入深度以及不同羰基铁粉质量分数情况下的沉降规律分析。结果发现：磁流变抛光区域的抛光粉会随着抛光轮转速的增大而增多；当到达出口时，抛光粉的分布趋于稳定状态；抛光粉会随着嵌入深度的增加而增多并存在饱和区；羟基铁粉的质量分数以非线性的方式影响沉降能力。
- Kahan方法 /
- 磁流变抛光 /
- 多相流 /
- 梯度磁场 /
- 沉降规律
Abstract: The sedimentation characteristics of the magnetic polishing liquid in the magnetorheological polishing area is an important part of the material removal mechanism in the polishing process. Aiming at the ultra-large-scale nonlinear problem of numerical calculation of polishing powder sedimentation characteristics, this paper solves the ultra-large-scale fluid-structure interaction calculation problem based on Kahan linearization. The sedimentation characteristics of the multiphase flow of polishing powder composed of hydroxy iron powder and silicone oil in the polishing area under gradient magnetic field were studied. Taking the polishing powder composed of hydroxyl iron powder with mass fraction of 70% and particle size of 5um and silicone oil with viscosity of 0.973 Pa·s as the research object, sedimentation analysis of different polishing wheel rotation speeds, different embedding depths and different mass fractions of carbonyl iron powder were realized. It is found that the polishing powder in the magnetorheological polishing area will increase with the increase of the rotating speed of the polishing wheel; when it reaches the outlet, the distribution of the polishing powder tends to be stable; the polishing powder will increase with the increase of the embedded depth and there is a saturation zone; the mass fraction of hydroxy iron powder affects the sedimentation ability in a non-linear manner.
- Kahan method /
- magnetorheological polishing /
- multiphase flow /
- gradient magnetic field /
- sedimentation law

HTML全文

图 1 磁流变抛光区域抛光粉沉降示意图

Figure 1. Schematic diagram of polishing powder sedimentation in the magnetorheological polishing area

下载: 全尺寸图片幻灯片

图 2 抛光轮转速ω在100 r/min至275 r/min时抛光区域抛光粉的沉降分布云图

Figure 2. Sedimentation distribution cloud diagram of the polishing powder in the polishing area when the rotating speed ω of the polishing wheel is 100 r/min to 275 r/min

下载: 全尺寸图片幻灯片

图 3 抛光轮转速对抛光区域抛光粉沉降的影响规律

Figure 3. Influence of the polishing wheel speed on the deposition of polishing powder in the polishing area

下载: 全尺寸图片幻灯片

图 4 抛光粉嵌入深度h在0.65 mm至1.00 mm时抛光区域抛光粉的沉降分布云图

Figure 4. Sedimentation distribution cloud diagram of the polishing powder in the polishing area when the embedding depth h of polishing powder is between 0.65 mm and 1.00 mm

下载: 全尺寸图片幻灯片

图 5 嵌入深度对抛光区域抛光粉沉降的影响规律

Figure 5. Influence of embedding depth on the sedimentation of polishing powder in the polishing area

下载: 全尺寸图片幻灯片

图 6 羟基铁粉的质量分数w₀在20%至90%时抛光区域抛光粉的沉降分布云图

Figure 6. Sedimentation distribution cloud diagram of the polishing powder in the polishing area when the mass fraction w₀ of the hydroxy/iron powder is 20% to 90%

下载: 全尺寸图片幻灯片

图 7 羟基铁粉的质量分数对抛光区域抛光粉沉降的影响规律

Figure 7. Influence of the mass fraction of hydroxyl iron powder on the sedimentation of polishing powder in the polishing area

下载: 全尺寸图片幻灯片

表 1 实验物理参数

Table 1. Experimental physical parameters

particle diameter/μm	air-silicon soil tensor/N	silicone oil viscosity/Pa·s	silicone oil density/(kg·m⁻³)	import and export pressure/Pa	radius of curvature of the polishing wheel/mm
5	0.04	0.973	0.94	101325	150

下载: 导出CSV

表 2 抛光轮不同转速参数

Table 2. Different speed parameters of polishing wheel

mass fraction/%	embedded depth /mm	polishing rotation /r/min
70	1.1	100
70	1.1	125
70	1.1	150
70	1.1	175
70	1.1	200
70	1.1	225
70	1.1	250
70	1.1	275

下载: 导出CSV

表 3 不同嵌入深度参数

Table 3. Different embedding depth parameters

mass fraction/%	polishing rotation/(r·min⁻¹)	embedded depth h/mm
70	150	0.65
70	150	0.70
70	150	0.75
70	150	0.80
70	150	0.85
70	150	0.90
70	150	0.95
70	150	1.00

下载: 导出CSV

表 4 改变抛光粉中羟基铁粉的质量分数

Table 4. Changing the mass fraction of hydroxyl iron powder in polishing powder

silicone oil viscosity/(mPa·s)	hydroxy liron powder/μm	mass fraction w₀/%
97.3	5	20
97.3	5	30
97.3	5	40
97.3	5	50
97.3	5	60
97.3	5	70
97.3	5	80
97.3	5	90

下载: 导出CSV

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