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| 有限厚度的Marangoni对流边界层问题的解析近似解 | |
| 引用本文： | 张艳,郑连存,张欣欣.有限厚度的Marangoni对流边界层问题的解析近似解[J].北京科技大学学报,2009,31(6). |
| 作者姓名： | 张艳 郑连存 张欣欣 |
| 作者单位： | 1. 北京科技大学应用科学学院,北京,100083;北京建筑工程学院理学院,北京,100044 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 |
| 基金项目： | 国家自然科学基金资助项目(No.50476083) |
| 摘 要： | 讨论了由不同温度介质的界面张力梯度而诱导的有限厚度Marangoni对流的边界层问题.假设界面张力是温度的平方函数,下表面保持恒温,上表面的温度是水平距离的线性函数.通过坐标变换和巧妙引入小参数对速度和温度边界层控制方程组摄动渐进展开,得到了问题的解析近似解.研究了Marangoni数和Prandtl数对速度、温度边界层的影响,对相应的流动特性进行了探讨. |
| 关 键 词： | Marangoni对流 边界层 近似解 渐进展开 |
Analytical approximate solution to the boundary layer flow of finite thickness Marangoni convection |
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| ZHANG Yan,ZHENG Lian-cun,ZHANG Xin-xin.Analytical approximate solution to the boundary layer flow of finite thickness Marangoni convection[J].Journal of University of Science and Technology Beijing,2009,31(6). | |
| Authors: | ZHANG Yan ZHENG Lian-cun ZHANG Xin-xin |
| Abstract: | Marangoni convection induced by surface tension gradient along the liquid of finite thickness was researched.It is assumed that the surface tension is a quadratic function of temperature,the under surface temperature is constant,and the super surface temperature is a linear function of horizontal distance.The Marangoni convection boundary layer problem was solved by an efficient transformation and asymptotic expansion technique,and the analytical approximate solution to this Marangoni convection was obtaine... |
| Keywords: | Marangoni convection boundary layer approximate solution asymptotic expansion |
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