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| 具有抽吸/喷注的多孔壁圆柱管道内磁流体的流动 | |
| 引用本文： | 刘亚轻,郑连存,张欣欣,马金玉.具有抽吸/喷注的多孔壁圆柱管道内磁流体的流动[J].辽宁师范大学学报(自然科学版),2009,32(4):435-439. |
| 作者姓名： | 刘亚轻 郑连存 张欣欣 马金玉 |
| 作者单位： | 1. 北京科技大学,应用科学学院,北京,100083;北京科技大学,机械工程学院,北京,100083 2. 北京科技大学,应用科学学院,北京,100083 3. 北京科技大学,机械工程学院,北京,100083 4. 华北制药集团,倍达有限公司,河北,石家庄,050031 |
| 基金项目： | 国家自然科学基金资助项目 |
| 摘 要： | 研究了水平方向存在磁场的可渗透圆柱形管道内稳态不可压缩流体的层流流动,通过引入流函数,将控制方程化为非线性常微分方程.假设抽吸/喷注雷诺数和磁场雷诺数均很小,将小雷诺数作为小参数,应用摄动法求解了问题的近似解,进一步研究了流体速度、压降及管壁表面的摩擦阻力系数.在磁场的影响下,主流方向的压降随着抽吸雷诺数的增加而降低,随着喷注雷诺数的增加而增加.壁面的摩擦阻力系数随着抽吸雷诺数或磁场强度的增加而降低. |
| 关 键 词： | 多孔管壁 流函数 雷诺数 摄动方法 |
Laminar pipe flow with Injection/suction through porous wall in the presence of a transverse magnetic field |
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| LIU Ya-qing,ZHENG Lian-cun,ZHANG Xin-xin,MA Jin-yu.Laminar pipe flow with Injection/suction through porous wall in the presence of a transverse magnetic field[J].Journal of Liaoning Normal University(Natural Science Edition),2009,32(4):435-439. | |
| Authors: | LIU Ya-qing ZHENG Lian-cun ZHANG Xin-xin MA Jin-yu |
| Institution: | LIU Ya-qing,ZHENG Lian-cun,ZHANG Xin-xin,MA Jin-yu(1.Department of Mathematics and Mechanics,University of Science and Technology Beijing,Beijing 100083,China;2.Mechanical Engineering School,University of Science and Technology Beijing,Beijing 100083,China;3.NCPC Bata Company Limited,Shijiazhuang 050031,China) |
| Abstract: | This paper investigated the steady and incompressible laminar pipe flow with porous wall in the presence of a transverse magnetic field.By stream function,the control equations reduced to no-linear ordinary differential equation with appropriate boundary conditions.It is assumed that the suction/injection Reynolds number and the magnetic Reynolds number are both small.Considering the small Reynolds number as a small parameter,we applied perturbation method to find the approximate solution.We further investigated the characteristics of the velocity,pressure drop and the coefficient of skin friction.It is found that the pressure drop in the major flow direction decreases/increase with the increase of suction /injection Reynolds numbers.And the skin friction decreases with the increasing of suction Reynolds number or magnetic field body. |
| Keywords: | laminar flow stream function Reynolds number perturbation method |
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