| 郑连存,温安国,张欣欣.Falkner-Skan方程的近似解析解[J].计算力学学报,2008,25(4): |
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| Falkner-Skan方程的近似解析解 |
| Approximate analytical solution for Falkner-skan equation |
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| DOI：10.7511/jslx20084097 |
| 中文关键词: 边界层 Falkner-Skan方程 Adomian拆分法 Crocco变换 |
| 英文关键词:boundary layer,falkner-Skan equation,adomian decomposition,crocco transformation |
| 基金项目:国家自然科学基金 |
| 郑连存 温安国 张欣欣 |
| 北京科技大学数学力学系，北京科技大学热能工程系 |
| 摘要点击次数: 1718 |
| 全文下载次数: 12 |
| 中文摘要: |
| 研究了粘性流体绕流楔型物体的Falkner-Skan边界层方程求解问题.利用Adomian拆分方法,通过引入Crocco变量变换将无穷区间的边界值问题转为初值问题并利用Padé逼近技巧确定初值,给出了一种有效的解析分解方法.进一步,本文设计了一种数值解法,将本文得到的近似解析解及数值结果与早期研究者Hartree等人的结果进行了比较,证明了本文提出的解法的有效性和可靠性. |
| 英文摘要: |
| The Falkner-Skan boundary layer equation is reduced to a nonlinear boundary value problem when Crocco variables transformation is introduced.The approximate analytical solutions are presented by using Adomian decomposition method.Furthermore,a numerical method is designed to give the numerical results to the equation and a comparison is made with Hartree's result.The reliability and efficiency of solution are verified by the numerical results in the literature in close agreement. |
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