| 精确的磁流体动力学汇流解析解 |
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| 引用本文： | 章骥,方铁钢,钟永芳,黄锋. 精确的磁流体动力学汇流解析解[J]. 应用数学和力学, 2011, 32(10). DOI: 10.3879/j.issn.1000-0887.2011.10.001 |
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| 作者姓名： | 章骥 方铁钢 钟永芳 黄锋 |
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| 作者单位： | 1. 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
2. 宾夕法尼亚州立大学比兰德学院工学院,伊利PA 16563-1701,美国 |
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| 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FalknerSkan 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.
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| 关 键 词： | 相似解 Falkner-Skan方程 伸长表面 磁流体动力学 解析解 汇流 |
Exact Analytical Solution of the Magnetohydrodynamic Sink Flow |
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| ZHANG Ji,FANG Tie-gang,ZHONG Yong-fang. Exact Analytical Solution of the Magnetohydrodynamic Sink Flow[J]. Applied Mathematics and Mechanics, 2011, 32(10). DOI: 10.3879/j.issn.1000-0887.2011.10.001 |
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| Authors: | ZHANG Ji FANG Tie-gang ZHONG Yong-fang |
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| Affiliation: | ZHANG Ji1,FANG Tie-gang1,ZHONG Yong-fang2 (1.Mechanical and Aerospace Engineering Department,North Carolina State University,911 Oval Drive-3246 EBIII,Campus Box 7910,Raleigh,NC 27695,USA,2.School of Engineering,Penn State Erie,the Behrend College Erie,PA,16563-1701,USA) |
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| Abstract: | An exact analytical solution of the famous Falkner-Skan equation for magneto-hydrodynamic(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 f... |
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| Keywords: | similarity solution Falkner-Skan equation stretching surface magnetohydrodynamics analytical solution sink flow |
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