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| 上随体流体驻点附近滑移流动的同伦解析解 | |
| 引用本文： | 朱婧,郑连存,张欣欣. 上随体流体驻点附近滑移流动的同伦解析解[J]. 力学学报, 2011, 43(1): 39-44. DOI: 10.6052/0459-1879-2011-1-lxxb2009-667 |
| 作者姓名： | 朱婧 郑连存 张欣欣 |
| 作者单位： | 1.北京科技大学应用学院数力系 |
| 基金项目： | 国家自然科学基金(50936003); 北京科技大学新金属材料国家重点实验室开放课题(2009Z-02)资助项目~~ |
| 摘 要： | 从理论上研究了上随体Maxwell流体在滑移流区的动量传输问题.通过一系列相似变换把控制方程组转化为常微分方程组，利用同伦分析法首次求得了问题的近似解析解. 获得的同伦解析解与文献中的数值解吻合较好. 利用同伦解分析讨论了滑移参数、磁场强度、速度比例参数、吸入喷住参数和流体黏弹性参数对流动的影响. |
| 关 键 词： | 黏弹性 |
| 收稿时间： | 2009-11-04 |
| 修稿时间： | 2010-04-27 |
THE ANALYTICAL SOLUTION OF THE STAGNATION POINT FLOW OF AN UPPER-CONVECTED MAXWELL FLUID WITH SLIP |
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| Zhu Jing , Zheng Liancun , Zhang Xinxin. THE ANALYTICAL SOLUTION OF THE STAGNATION POINT FLOW OF AN UPPER-CONVECTED MAXWELL FLUID WITH SLIP[J]. chinese journal of theoretical and applied mechanics, 2011, 43(1): 39-44. DOI: 10.6052/0459-1879-2011-1-lxxb2009-667 | |
| Authors: | Zhu Jing Zheng Liancun Zhang Xinxin |
| Affiliation: | Zhu Jing~(*,2)) Zheng Liancun~* Zhang Xinxin~ *(Applied Science School,University of Science and Technology Beijing,Beijing 100083,China) (Mechanical Engineering School,China) |
| Abstract: | During recent years,with the rapid development of science and technology in micro- and nanomeasuring technologies,it has been found that there are many significant differences in fluid flow at between macro-scale and micro/nano-scale,such as wall-slip phenomenon.Fluids exhibiting slip are important in technological applications.Therefore better understanding of the phenomenon of slip is necessary.This paper presents a theoretical analysis for the MHD stagnation-point flows of an upper-convected Maxwell flui... |
| Keywords: | upper-convected Maxwell fluid HAM approximate solution slip flow viscoelasticity |
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