北京航空航天大学学报 ›› 2018, Vol. 44 ›› Issue (6): 1258-1264.doi: 10.13700/j.bh.1001-5965.2017.0475

• 论文 • 上一篇    下一篇

沿多孔壁面流动的液膜线性稳定性分析

赵越, 杨立军   

  1. 北京航空航天大学 宇航学院, 北京 100083
  • 收稿日期:2017-07-11 出版日期:2018-06-20 发布日期:2018-06-28
  • 通讯作者: 杨立军.E-mail:yanglijun@buaa.edu.cn E-mail:yanglijun@buaa.edu.cn
  • 作者简介:赵越 女,硕士研究生。主要研究方向:沿壁面流动的液膜稳定性分析;杨立军 男,博士,教授,博士生导师。主要研究方向:非牛顿流体流动不稳定性、液体射流不稳定性及破裂机理、喷嘴动力学、燃烧不稳定性机理。
  • 基金资助:
    国家杰出青年科学基金(11525207)

Linear stability analysis of liquid films flowing down a porous wall

ZHAO Yue, YANG Lijun   

  1. School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China
  • Received:2017-07-11 Online:2018-06-20 Published:2018-06-28

摘要: 针对沿多孔壁面流动的牛顿流体液膜进行线性稳定性分析,特别考虑中等雷诺数的情形。认为多孔壁面处的流动满足Beavers-Joseph滑移边界条件,采用动量积分方法,得到色散关系和中性稳定曲线。多孔壁面的渗透性促进了液膜流动的不稳定,加快了液膜表面波的移动。随着雷诺数增大,中等雷诺数范围的最大增长率呈现先增大后减小趋势。最大增长率极值和不稳定波数区域与壁面渗透性有关。通过能量分析探究多孔介质渗透性对流动稳定性的作用机理,多孔壁面滑移速度的存在使得平均流速增大,速度梯度减小,导致黏性耗散减小从而促进流动失稳。

关键词: 多孔壁面, 中等雷诺数, 线性稳定性, 动量积分方法, 能量分析

Abstract: The paper conducted a linear stability analysis on the Newtonian liquid films flowing down a porous wall, especially concerning about the case of moderate Reynolds number. It was considered that the flow at the porous wall satisfied the Beavers-Joseph slip boundary condition. And the momentum integral method was used to obtain the dispersion relation and the neutral stability condition. The results show that the permeability of porous wall promotes the instability of liquid film flow and accelerates the movement of liquid film surface fluctuation. With the increase of the Reynolds number, the maximum growth rate increases first and then decreases in the range of moderate Reynolds number. The extremum values and cutoff wave number of growth rate were related to the wall permeability. The mechanism of porous media permeability affecting the stability has been discussed by energy analysis. It is considered that the existence of porous wall slip velocity increases the average flow velocity and decreases the velocity gradient, which leads to the decrease of viscous dissipation and the reinforcement of flow instability.

Key words: porous wall, moderate Reynolds number, linear stability, momentum integral method, energy analysis

中图分类号: 


版权所有 © 《北京航空航天大学学报》编辑部
通讯地址:北京市海淀区学院路37号 北京航空航天大学学报编辑部 邮编:100191 E-mail:jbuaa@buaa.edu.cn
本系统由北京玛格泰克科技发展有限公司设计开发