精确的磁流体动力学汇流解析解

章骥; 方铁钢; 钟永芳

doi:10.3879/j.issn.1000-0887.2011.10.001

精确的磁流体动力学汇流解析解

doi: 10.3879/j.issn.1000-0887.2011.10.001

北卡罗莱纳州立大学力学与航天航空工程系,911 Oval Drive-3246 EBIII,校园信箱7910,罗利 NC 27695,美国;

详细信息

中图分类号: O361
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出版历程
- 收稿日期: 2010-06-22
- 修回日期: 2011-06-17
- 刊出日期: 2011-10-15

Exact Analytical Solution of the Magnetohydrodynamic Sink Flow

Mechanical and Aerospace Engineering Department, North Carolina State University, 911 Oval Drive-3246 EBIII, Campus Box 7910, Raleigh, NC 27695, USA;
School of Engineering, Penn State Erie, the Behrend College Erie, PA, 16563-1701, USA

摘要

摘要: 就一个特殊的磁流体动力学(MHD)流动，即速度幂指数为-1时的汇流，得到著名的Falkner－Skan方程精确的解析解．解析解是封闭的，并有多重解分支．分析了磁场参数和壁面伸长参数的影响．发现了有趣的速度分布现象：即使壁面固定，回流区域依然出现．在一个罕见的Falkner-Skan MHD流动中，得到了一组解，以精确封闭的解析公式表示，极大地丰富了著名的Falkner-Skan方程的解析解，也加深了对这重要又有趣方程的理解．
- 相似解 /
- Falkner－Skan方程 /
- 伸长表面 /
- 磁流体动力学 /
- 解析解 /
- 汇流
Abstract: An exact analytical solution of the famous Falkner-Skan equation for magneto-hydro-dynamic (MHD) flow was obtained for a special case,namely the sink flow with a velocity power index of -1.The solution was given in a closed form.Multiple solution branches were observed.The effects of the magnetic parameter and the wall stretching parameter were analyzed.Interesting velocity profiles were observed with reversal flow regions even for a stationary wall.These solutions provide a rare case of the Falkner-Skan MHD flow with exact analytical closed form formula and greatly enrich the analytical solution to the celebrated Falkner-Skan equation and the understanding of this important and interesting equation.
- similarity solution /
- Falkner-Skan equation /
- stretching surface /
- magnetohydrodynamics /
- analytical solution /
- sink flow

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参考文献(32)

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