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

doi:10.1007/s10483-008-0910-4

Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (9): 1215-1220 .doi: https://doi.org/10.1007/s10483-008-0910-4

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¹,郑连存²,蒋锋^1,3

1.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

收稿日期:2008-03-17 修回日期:2008-07-15 出版日期:2008-09-10 发布日期:2008-09-10
通讯作者: 苏晓红

Approximate analytical solutions and approximate value of skin friction coefficient for boundary layer of power law fluids

SU Xiao-hong¹, ZHENG Lian-cun² and JIANG Feng^1,3

1. Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, Hebei Province, P. R. China;
2. Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, P. R. China;
3. Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, P. R.China

Received:2008-03-17 Revised:2008-07-15 Online:2008-09-10 Published:2008-09-10
Contact: SU Xiao-hong

摘要/Abstract

摘要： 对幂率流体层平板边界层的解析解进行了研究.对该问题提供了Adomain分解方法并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.

关键词: 幂率流体, 非线性边值问题, 解析拆分法

Abstract: This paper presents a theoretical analysis for laminar boundary layer flow in a power law Non-Newtonian fluids. The Adomian analytical decomposition technique is presented and an approximate analytical solution is obtained. The approximate analytical solution can be expressed in terms of a rapid convergent power series with easily computable terms. Reliability and efficiency of the approximate solution are verified by comparing with numerical solutions in the literature. Moreover, the approximate solution can be successfully applied to provide values for the skin friction coefficient of the laminar boundary layer flow in power law non-Newtonian fluids.

Key words: power law fluid, nonlinear boundary value problem, Adomian decomposition

中图分类号:

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]. Applied Mathematics and Mechanics (English Edition), 2008, 29(9): 1215-1220 .

SU Xiao-hong;ZHENG Lian-cun and JIANG Feng;. Approximate analytical solutions and approximate value of skin friction coefficient for boundary layer of power law fluids[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(9): 1215-1220 .

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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

Approximate analytical solutions and approximate value of skin friction coefficient for boundary layer of power law fluids

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