| 由均匀运动双螺旋涡丝诱导的流场的解析解 |
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| 引用本文： | 刘翔,黄其柏,廖道训,温国珍.由均匀运动双螺旋涡丝诱导的流场的解析解[J].上海大学学报(英文版),2005,9(5):397-406. |
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| 作者姓名： | 刘翔 黄其柏 廖道训 温国珍 |
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| 作者单位： | [1]School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R. China [2]Dongfang Electrical Machinery Co. Ltd., Deyang 618000, P. R. China |
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| 基金项目： | Project supported by National Natural Science Foundation of China （ Grant No. 50075029）. |
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| 摘 要： | NomenclatureV-Relative velocity vectorV′-Absolute velocity vectorω-Relative vorticity vectorω′-Absolute vorticity vectorR-Pipe radiusa-Radius of cylinder for helical vortex filament2πl-Pitch of i mage helical vortex filamentQ-Flowrate in pipe with an arbitrary cross-sectionΓ-Circulation of each helical vortex filamentV0-Constant transferal velocity of vortex filaments along thez-axisΩ-Constant angular velocity of vortex filaments around thez-axis(a,χ1) ,(a,χ2) -Relative helical …
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| 关 键 词： | 分析解 移动双螺旋涡流 非粘性流体 不定常流 周期函数 |
| 文章编号： | 1007-6417（2005）05-0397-10 |
| 收稿时间： | 2004-04-05 |
| 修稿时间： | 2004-09-22 |
Analytical solution of the flow field induced by the uniformly moving double helical vortex filaments |
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| Liu?Xiang,Huang?Qi-bai,Liao?Dao-xun,Wen?Guo-zhen.Analytical solution of the flow field induced by the uniformly moving double helical vortex filaments[J].Journal of Shanghai University(English Edition),2005,9(5):397-406. |
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| Authors: | Liu Xiang Huang Qi-bai Liao Dao-xun Wen Guo-zhen |
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| Institution: | 1. Huazhong University of Science and Technology
2. Dongfang Electrical Machinery Co. Ltd |
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| Abstract: | The analytical expressions was deduced for the inviscid flow field induced by the double vortex filaments that move uniformly and rigidly without change of its form in a cylindrical tube, where the vortex filaments rotate around its axial with a constant angular velocity and translates along its axial with a constant transferal velocity. It is a key of solving problem to set up a moving cylindrical coordinate system together with the vortex filaments motion, in which the relative velocity field is presumed to be time-independent and with helical symmetry. The result shows that the absolute velocity field and pressure field are all time-periodic functions, and may degenerate into a time-independent field when the helical vortex filaments slip along the filaments themselves or is immobile. The calculation results at the location of pressure peaks and valleys on pipe wall are accordant with experimental results. When the cylindrical pipe radius tends to infinitely large quantity, it is also concluded that the double helical vortex filaments induce flow field in an unbound space. |
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| Keywords: | analytical solution moving double helical vortex time-dependent flow field swirl flow |
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