粗糙微管道壁面振荡的磁流体流动  

Magnetohydrodynamic(MHD) Flow through Two Parallel Microchannels with Oscillating Corrugated Walls

作　　者：刘雅鹏 菅永军[1] 布仁满都拉[1,2] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]赤峰学院数学与统计学院,内蒙古赤峰024000

出　　处：《内蒙古大学学报（自然科学版）》2015年第4期363-369,共7页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(批准号:11062005;11472140;11362012);非线性力学国家重点实验室开放基金;内蒙古自治区高等学校青年科技英才支持计划(批准号:NJYT-13-A02)资助项目

摘　　要：采用摄动法得到了粗糙微管道壁面振荡的磁流体流动的速度的近似解析解.波状管壁是由小振幅的反相周期余弦波给出的.通过数值计算,分析了振荡雷诺数Re和Hartmann数Ha对速度剖面的影响.结果表明:随着振荡雷诺数Re和Hartmann数Ha的增加,x和y方向速度的振幅减小.同时由于壁面的振荡,对固定的振荡雷诺数Re,随着y的增加,即由微管道的中心到管道的壁面,x和y方向速度的振幅逐渐增加.By employing a perturbation method,the approximate analytical solutions of velocity are presented for a magnetohydrodynamic （MHD） flow through two parallel microchannels with oscillating corrugated walls. The corrugations of the two walls are described as periodic cosine waves with small amplitudes in reverse phases. By numerical computations, the influences of oscillating Reynolds number Re and Hartmann number Ha on velocity profiles are presented. Results show that the magnitude of velocity in the x and y direction decreases as the Re and Ha gradually increase. At the same time, for prescribed oscillating Reynolds number Re, the magnitude of velocity in the x and y direction increases as the y increases due to the viscosity effect.

关 键 词：磁流体 摄动法 小振幅波状微管道 

分 类 号：O361.3[理学—流体力学] O357.1[理学—力学]