具有正弦粗糙度的环形微管道中脉冲流动

长龙; 刘全生; 菅永军; 布仁满都拉; 孙艳军

doi:10.21656/1000-0887.370116

具有正弦粗糙度的环形微管道中脉冲流动

doi: 10.21656/1000-0887.370116

¹内蒙古大学数学科学学院, 呼和浩特 010021;²内蒙古财经大学统计与数学学院, 呼和浩特 010071;³北京航空航天大学航空科学与工程学院, 北京 100191;⁴赤峰学院数学与统计学院, 内蒙古赤峰 024000

基金项目: 国家自然科学基金(11562014;11472140);内蒙古自然科学基金(2015MS0113;2015MS0110;2016MS0106);内蒙古自治区草原英才资助项目(12000-12102013);内蒙古自治区高等学校科学技术研究项目(NJZY14109);内蒙古自治区研究生科研创新资助项目(11200-12110201)

详细信息

作者简介:
长龙(1979—)，男，讲师，博士生(E-mail: suolunga@163.com);刘全生(1979—)，男，副教授，博士,硕士生导师(通讯作者. E-mail: smslqs@imu.edu.cn).

中图分类号: O357.1
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- 被引次数: 0
出版历程
- 收稿日期: 2016-04-14
- 修回日期: 2016-05-25
- 刊出日期: 2016-10-15

Oscillating Flow in Annular Microchannels With Sinusoidally Corrugated Walls

¹School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P.R.China;²School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot 010071, P.R.China;³School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, P.R.China;

Funds: The National Natural Science Foundation of China(11562014;11472140)

摘要

摘要: 研究了具有正弦粗糙度的环形微管道中脉冲流动, 其中壁面粗糙度用小振幅的正弦波表示, 不可压缩粘性脉冲流动由周期振荡的压力梯度驱动, 运用摄动展开法求解了柱坐标系下的动量方程, 获得了环形微管道内脉冲流动的近似解析速度及其体积流率.在此基础上, 研究了相关无量纲参数, 如Reynolds(雷诺)数Re、压力梯度振幅A、正弦波状粗糙的小振幅ε、内外半径之比α、相位差β及其波数λ对速度u及平均体积流率Φ_m的影响.结果表明, 剖面速度随A的增大而增大, 随Re的增大而减小，相位滞后χ随振荡Reynolds数Re的增大而增大
- 压力梯度振荡 /
- 摄动法 /
- 正弦波状壁面 /
- 环形微管道
Abstract: Oscillating flow in annular microchannels with sinusoidal wall roughness was investigated. The oscillating flow of incompressible viscous fluid was driven by a time-periodically oscillating pressure gradient. Approximate solutions of the velocity and flow rate in the annular microchannel were obtained through computation of the momentum conservation equations in the cylindrical coordinate system with the perturbation method. Based on these approximate solutions, the effects of the relevant nondimensional parameters, such as Reynolds number Re, pressure gradient amplitude A, sinusoidal roughness amplitude ε, ratio of the inner radius to the outer radius α, phase difference β and wave number λ, on velocity u and flow rate Φ_m, were analyzed. The results show that the velocity increases with A and decreases with Re, and phase lag χ increases with Re.
- pressure gradient oscillation /
- perturbation method /
- sinusoidally corrugated wall /
- annular microchannel

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