液桥重开过程的两相格子Boltzmann模型及计算

王宁宁; 刘海湖; 张楚华

doi:10.7652/xjtuxb201609009

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液桥重开过程的两相格子Boltzmann模型及计算

更新时间：2025-07-09

- 液桥重开过程的两相格子Boltzmann模型及计算
- Numerical Simulation for Liquid Bridge Reopening Process with Two-Phase Lattice Boltzmann Method
- 西安交通大学学报 2016年50卷第9期页码：55-60
- 作者机构：
  
  西安交通大学能源与动力工程学院,西安,710049
- 作者简介：
- 基金信息：
  
  : 2016-03-12。作者简介: 王宁宁(1989—),女,博士生;刘海湖(通信作者),男,特聘研究员。基金项目: 国家自然科学基金资助项目(51176146,51506168);中组部“千人计划”青年人才项目;西安交通大学青年拔尖人才支持计划
- DOI：10.7652/xjtuxb201609009
  中图分类号： TK124
- 网络首发：2016-09-10，
  
  纸质出版：2016
- 稿件说明：
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王宁宁, 刘海湖, 张楚华. 液桥重开过程的两相格子Boltzmann模型及计算[J]. 西安交通大学学报, 2016,50(9):55-60.

Numerical Simulation for Liquid Bridge Reopening Process with Two-Phase Lattice Boltzmann Method[J]. 2016, 50(9): 55-60.
王宁宁, 刘海湖, 张楚华. 液桥重开过程的两相格子Boltzmann模型及计算[J]. 西安交通大学学报, 2016,50(9):55-60. DOI： 10.7652/xjtuxb201609009.

Numerical Simulation for Liquid Bridge Reopening Process with Two-Phase Lattice Boltzmann Method[J]. 2016, 50(9): 55-60. DOI： 10.7652/xjtuxb201609009.

摘要

根据最近提出并发展的相场格子Boltzmann方法

建立了阻塞气道重开过程的不混溶两相流动模型和计算方法。基于自由能理论、引入指示函数对两相流体界面进行描述

指示函数的演化遵循Cahn-Hilliard方程

具有坚实的物理基础; 通过压力分布函数对流场信息进行求解

可有效降低密度梯度离散所诱发的数值不稳定性; 引入势能形式的界面张力项

与压力形式的相比可有效抑制界面处的假拟速度。应用该模型对液桥重开的两相流动过程进行了数值研究

并着重分析了毛细数对阻塞液桥演化过程的影响

结果表明

阻塞液桥的轴向厚度变化存在临界毛细数现象

当毛细数大于临界值时

阻塞液桥的轴向厚度随时间逐渐减小

最终发生破裂

实现气道的重开; 利用该模型重现了无液滴和有液滴形成的两种气道重开现象

对比研究发现

在无液滴形成的气道重开过程中

壁面经历的压力变化更大。研究工作可为深入认识人体肺气道的生理病理机制、微通道内不混溶两相流体的流动规律提供一定的理论依据。

Abstract

Based on the recently proposed and developed phase-field lattice Boltzmann method

a computational model is established to simulate the reopening process of blocked human pulmonary airway. The two-phase computational model is established following the free energy theory

and an order parameter is introduced for the description of two-phase interface

which evolves according to the Cahn-Hilliard equation. The model thus has a solid physical foundation. A pressure distribution function is utilized for the hydrodynamic equations

which facilitates minimizing the discretization error of the density gradient to weaken the numerical instability. In addition

an interfacial force of potential form is adopted

which produces much smaller spurious velocities at the interface by comparing with its counterpart of pressure form. The model is used to simulate the liquid bridge reopening process

and the effect of capillary number is analyzed. There exists a critical capillary number

beyond which the axial thickness of the liquid bridge decreases

and finally ruptures

leading to the reopening of blocked human pulmonary airway. Two kinds of reopening processes are reproduced

and they are classified by whether droplets are formed. The reopening process without droplet formed undergoes a more severe pressure jump. This approach is expected be used to further investigate physiology and pathology of human respiratory system and fundamental immiscible two-phase flow phenomenon in microchannels.

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Keywords

references

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