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

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

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

详细信息

作者简介:
苏晓红(1976- ),男,湖北人,讲师(联系人.E-mail:suxh2005@163.com).

中图分类号: O175；O357
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- 被引次数: 0
出版历程
- 收稿日期: 2008-03-17
- 修回日期: 2008-07-15
- 刊出日期: 2008-09-15

Analytical Approximate Solutions and the Approximate Value of Skin Friction Coefficient for the Boundary Layer of Power Law Fluids

Department of Mathematics and Physics, North China Electric Power University, Baoding, Hebei 071003, P. R. China;

摘要

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．
- 幂率流体 /
- 非线性边值问题 /
- 解析拆分法
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.
- power law fluid /
- nonlinear boundary value problem /
- Adomian decomposition

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参考文献(17)

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