| Blasius问题中剪应力函数的分析估计 |
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| 引用本文： | 黄淑娟,杜翠,徐艳芝.Blasius问题中剪应力函数的分析估计[J].成都信息工程学院学报,2011(6):647-649. |
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| 作者姓名： | 黄淑娟 杜翠 徐艳芝 |
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| 作者单位： | 成都信息工程学院数学学院;西南交通大学土木工程学院 |
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| 摘 要： | Blasius问题用来描述稳定不可压缩流体流过平板的情况，常出现在流体力学边界层理论中．主要对Blasius问题中的剪应力进行分析估计．从与Blasius问题等价的积分方程人手，对积分方程的解z（t）进行分析估计，得出z（t）的性质．从而获得Blasius问题中的剪应力的分析估计，其结果如下：∫^＂（0）≥3/√6/β/√-β,9/4√27≤∥∫^＂∥≤3√3√1-3β^2-2β^
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| 关 键 词： | 流体力学 边界层理论 Blasius问题 剪应力 上下界 |
Analytic Estimates on the Shear Stress Involved in the Blasius Problem |
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| HUANG Shu-juan,DU Cui,XU Yan-zhi.Analytic Estimates on the Shear Stress Involved in the Blasius Problem[J].Journal of Chengdu University of Information Technology,2011(6):647-649. |
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| Authors: | HUANG Shu-juan DU Cui XU Yan-zhi |
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| Institution: | 1(1.College of Mathematics,Chengdu University of Information Technology,Chengdu 610225,China;2.College of Civil Engineering,Southwest Jiaotong Uinivercity,Chengdu 610031,China) |
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| Abstract: | The Blasius problem is used to describe the case of stable incompressible fluids flowing through plate. It of- ten appears in the hydrodynamic boundary layer theory. In this paper, we focus on the analysis and estimation of shear stress in the Blasius problem. By studying the integral equation which is equivalent to the Blasius problem, we analyze and evaluate the solution of the integral equation, then obtain the properties of z （t）. Thus we get the fol- lowing results of the shear stress involved in the Blasius problem：∫^＂（0）≥3/√6/β/√-β,9/4√27≤∥∫^＂∥≤3√3√1-3β^2-2β^ |
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| Keywords: | hydromechanics boundary layer theory the shear stress blasius problem upper and lower bound |
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