| 幂律流体边界层方程的近似解析解和壁摩擦因数的近似值 |
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| 引用本文： | 苏晓红,郑连存,蒋锋.幂律流体边界层方程的近似解析解和壁摩擦因数的近似值[J].应用数学和力学,2008,29(9):1101-1106. |
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| 作者姓名： | 苏晓红 郑连存 蒋锋 |
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| 作者单位： | 华北电力大学 数理系,河北 保定 071003;2.北京科技大学 数力系,北京 100083;3.华中科技大学 控制科学与工程系,武汉 430074 |
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| 摘 要： | 对幂率流体层流平板边界层的解析解进行了研究．对该问题提供了Adomian分解方法并且推导出了问题的级数形式的近似解析解，该近似解析解具有快速收敛性和易于计算性．对不同的幂率给出了方程的近似解析解和相应的壁摩擦因数近似值，最后对近似解所推出结果和所得壁摩擦因数与文献中的数值解进行了比较验证，证实了该文提出的解析近似方法的准确性和可靠性，说明了该近似解能够应用于提供所研究问题的壁摩擦因数．
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| 关 键 词： | 幂率流体 非线性边值问题 解析拆分法 |
| 收稿时间： | 2008-03-17 |
Analytical Approximate Solutions and the Approximate Value of Skin Friction Coefficient for the Boundary Layer of Power Law Fluids |
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| SU Xiao-hong,ZHENG Lian-cun,JIANG Feng.Analytical Approximate Solutions and the Approximate Value of Skin Friction Coefficient for the Boundary Layer of Power Law Fluids[J].Applied Mathematics and Mechanics,2008,29(9):1101-1106. |
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| Authors: | SU Xiao-hong ZHENG Lian-cun JIANG Feng |
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| Affiliation: | Department of Mathematics and Physics, North China Electric Power University, Baoding, Hebei 071003, P. R. China; |
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| Abstract: | A theoretical analysis for laminar boundary layer flow in power law non-Newtonian fluid was presented. The Adomian analytical decomposition technique was presented and an approximate analytical solution was obtained. The approximate analytical solution can be represented in terms of a rapid convergent power series with elegantly computable terms. The reliability and efficiency of the approximate solution were verified using numerical solutions. Moreover, the approximate solution can be successfully applied to provide the values of skin friction coefficient in the power law non-Newtonian fluid. |
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