磁性液体两相界面演变特性的数值研究

施东晓; 毕勤成; 周荣启

doi:10.7652/xjtuxb201409021

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磁性液体两相界面演变特性的数值研究

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- 磁性液体两相界面演变特性的数值研究
- Numerical Investigation on the Evolution Characteristics of Two-Phase Interface in Ferrofluids
- 西安交通大学学报 2014年48卷第9期页码：123-129
- 作者机构：
  
  西安交通大学动力工程多相流国家重点实验室,西安,710049
- 作者简介：
- 基金信息：
  
  : 2014-02-04。作者简介: 施东晓(1987—),男,博士生;毕勤成(通信作者),男,教授,博士生导师。基金项目: 国家自然科学基金资助项目(11072189);国家“863计划”资助项目(2008AA05Z417)
- DOI：10.7652/xjtuxb201409021
  中图分类号： O359.1
- 网络首发：2014-09-10，
  
  纸质出版：2014
- 稿件说明：
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施东晓, 毕勤成, 周荣启. 磁性液体两相界面演变特性的数值研究[J]. 西安交通大学学报, 2014,48(9):123-129.

Numerical Investigation on the Evolution Characteristics of Two-Phase Interface in Ferrofluids[J]. 2014, 48(9): 123-129.
施东晓, 毕勤成, 周荣启. 磁性液体两相界面演变特性的数值研究[J]. 西安交通大学学报, 2014,48(9):123-129. DOI： 10.7652/xjtuxb201409021.

Numerical Investigation on the Evolution Characteristics of Two-Phase Interface in Ferrofluids[J]. 2014, 48(9): 123-129. DOI： 10.7652/xjtuxb201409021.

摘要

为了克服VOF

Level Set等方法在磁性液体两相流动研究中存在的不足

采用界面追踪法(VOSET

coupled Volume-of-Fluid and Level Set)捕捉相界面

将磁场力作为源项添加到流体运动的动量方程中

建立了磁性液体流场与磁场耦合的数值方法。推导了麦克斯韦方程的二维理论解并用于验证数值解

两者吻合良好

验证了磁场求解的正确性; 同时通过模拟磁性液体液滴的平衡形状验证了本数值方法的准确性; 进而分别研究了均匀磁场作用下磁性液体液滴振荡及非磁性气泡在磁性液体中上升的问题。研究结果表明

液滴或气泡均会沿磁场方向拉长

增大磁场强度或磁化率将导致更显著的变形; 磁感线在相界面出现弯曲

弯曲方向指向磁导率较大的介质。

Abstract

To overcome the disadvantages of VOF and Level Set methods in the research of ferrofluid two-phase flows

a numerical method coupling the flow field with magnetic field of ferrofluids was developed

where the evolution of interface was captured by the VOSET(coupled Volume-of-Fluid and Level Set)method

and the magnetic force was added into the momentum equation as a source term. To verify the accuracy of solving magnetic fields

a 2D analytical solution of Maxwell equations was derived and used to validate the numerical solution. The numerical results were in good agreement with the theoretical values. Then

the equilibrium shape of a ferrofluid droplet was simulated which verified the validity of our numerical method. Based on the proposed method

the droplet oscillation and rising bubble problems in the presence of magnetic fields were numerically investigated. The results showed that both the droplet and bubble were stretched in the direction of magnetic field

and the increase in either magnetic field strength or magnetic susceptibility would lead to a more significant deformation. Note that the magnetic field lines were distorted in the vicinity of interface with the bending direction pointing to the medium with a higher susceptibility.

关键词

Keywords

references

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刘艳艳, 李彦鹏, 朱婷婷. 表面活性剂对中尺度气泡形状及速度的调控研究[J]. 西安交通大学学报, 2011, 45(10): 93-97.

LIU Yanyan, LI Yanpeng, ZHU Tingting. Study on modulating shape and velocity of meso-scale bubble using surfactants[J]. Journal of Xi'an Jiaotong University, 2011, 45(10): 93-97.

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