Journal of Liaoning Petrochemical University ›› 2012, Vol. 32 ›› Issue (4): 45-47.

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Application of MATLAB PDE Toolbox in the First Problem of Stokes

 

ZHANG Chun-jing1，SHEN Long-she1*，JI Fu-qiang2，YU Li-li1
  

  1.  
    1.College of Petroleum Engineering，Liaoning Shihua University，Fushun Liaoning 113001，P.R.China;
    2.College of Mathematics，Qingdao University，Qingdao Shandong 266071，P.R.China
  • Received:2011-12-13 Published:2012-12-20 Online:2017-07-06

ＭＡＴＬＡＢ　ＰＤＥ工具箱在Ｓｔｏｋｅｓ第一问题中的应用

张纯静１，申龙涉１＊，纪富强２，于丽丽１   

  1. １．辽宁石油化工大学石油与天然气工程学院，辽宁抚顺１１３００１；
    ２．青岛大学数学科学学院，山东青岛２６６０７１
  • 作者简介:张纯静（１９８４－），男，山东菏泽市，在读硕士。

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Abstract:  

The first problem of stokes is a kind of common problem in the industrial production field. Traditional similar solution to the first problem of stokes is abstract and beyond understanding. Matlab PDE toolbox can vividly describe the first problem of stokes , output the concrete numerical value of research and vividly show the motion state of some plane. Matlab PDE toolbox provide an intuitive, quick, accurate and vivid numerical solution for the research of viscous flow of outside pipe's fluid medium.

Key words: Matlab PDE toolbox ,  N-S equation ,  Boundary conditions

摘要： 　    Ｓｔｏｋｅｓ第一问题在工业生产领域是常见的一类问题，运用传统的相似解法解决此类问题比较抽象，难以理解。运用Ｍａｔｌａｂ　ＰＤＥ工具箱，可以形象地描绘Ｓｔｏｋｅｓ第一问题，可输出所研究问题的具体数值并形象地显示出某一面上的运动状态。Ｍａｔｌａｂ　ＰＤＥ工具箱为研究管道外流体介质的粘性流动提供一种直观、快速、准确、形象的数值求解方法。

关键词: 　Ｍａｔｌａｂ　ＰＤＥ工具箱, 　Ｎ－Ｓ方程, 　边界条件

Cite this article

ZHANG Chun-jing，SHEN Long-she，JI Fu-qiang，YU Li-li.  

Application of MATLAB PDE Toolbox in the First Problem of Stokes
[J]. Journal of Liaoning Petrochemical University, 2012, 32(4): 45-47.

张纯静，申龙涉，纪富强，等. ＭＡＴＬＡＢ　ＰＤＥ工具箱在Ｓｔｏｋｅｓ第一问题中的应用[J]. 辽宁石油化工大学学报, 2012, 32(4): 45-47.

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