| 一类奇异边值问题和壁摩擦的估计公式 |
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| 引用本文： | 徐云滨,郑连存. 一类奇异边值问题和壁摩擦的估计公式[J]. 科学技术与工程, 2011, 11(23): 5494-5498 |
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| 作者姓名： | 徐云滨 郑连存 |
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| 作者单位： | 榆林学院数学与应用数学系,榆林,719000 |
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| 摘 要： | 利用单调逼近方法给出了源于流体边界层理论中的一类奇异边值问题正解的存在性和唯一性的充分条件,同时给出了用压力梯度参数表示的壁摩擦的估计公式;并且数值结果证明了估计公式的可靠性和有效性。
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| 关 键 词： | 奇异边值问题 存在性和唯一性 壁摩擦 估计式 |
| 收稿时间： | 2009-11-21 |
| 修稿时间： | 2009-11-21 |
a class of singgular boundary value problem and a theoretical estimate formula for skin friction coefficient |
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| XU Yun-bin,DONG Yuan-yuan. a class of singgular boundary value problem and a theoretical estimate formula for skin friction coefficient[J]. Science Technology and Engineering, 2011, 11(23): 5494-5498 |
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| Authors: | XU Yun-bin DONG Yuan-yuan |
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| Affiliation: | XU Yun-bin,DONG Yuan-yuan (Department of Mathematics and Applied Mathematics,Yulin University,Yulin 719000,P.R.China) |
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| Abstract: | A class of singular nonlinear boundary value problems arising in boundary layer theory are studied. Sufficient conditions for the existence and uniqueness of the positive solutions to the problem are established by utilizing the monotonic approaching technique. And at theoretical estimate formula for skin friction coefficient is presented. The formula can be successfully applied to estimate the value of the skin friction coecient. The correctness of the analytical predictions is verified by the numerical results. |
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| Keywords: | singular boundary value problem existence and uniqueness skin friction estimation. |
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