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确定平板层流边界层速度分布的一种方法 被引量:7
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作者 袁镒吾 刘又文 《应用数学和力学》 CSCD 北大核心 1999年第4期427-431,共5页
用积分关系式方法求解平板层流边界层问题·首先,设定速度分布试函数,使之满足最基本的边界条件·试函数中的待定系数则利用已有的数值解的一些结果予以确定·它类似于彭一川(1992)提出的的方法,但比后者简便得多&... 用积分关系式方法求解平板层流边界层问题·首先,设定速度分布试函数,使之满足最基本的边界条件·试函数中的待定系数则利用已有的数值解的一些结果予以确定·它类似于彭一川(1992)提出的的方法,但比后者简便得多·按照彭一川的方法,决定试函数中的待定参数时,需求解一个三次代数方程,而本文方法则只需求解线性代数方程。 展开更多
关键词 平板 层流 边界层 速度分布 权残法
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AN APPROXIMATE METHOD FOR DETERMING THE VELOCITY PROFILE IN A LAMINAR BOUNDARY-LAYER ON FLAT PLATE
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作者 袁镒吾 刘又文 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第4期112-117,共6页
In this paper, using the integration method, it is sought to solve the problem for the laminar boundary_layer on a flat plate. At first, a trial function of the velocity profile which satisfies the basical boundary co... In this paper, using the integration method, it is sought to solve the problem for the laminar boundary_layer on a flat plate. At first, a trial function of the velocity profile which satisfies the basical boundary conditions is selected. The coefficients in the trial function awaiting decision are decided by using some numerical results of the boundary_layer differential equations. It is similar to the method proposed by Peng Yichuan, but the former is simpler. According to the method proposed by Peng, when the awaiting decision coefficients of the trial function are decided, it is sought to solve a third power algebraic equation. On the other hand, in this paper, there is only need for solving a linear algebraic equation. Moreover, the accuracy of the results of this paper is higher than that of Peng. 展开更多
关键词 flat plate laminar flow boundary_layer velocity profile method of weighted residuals (MWR)
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