On the viscous flow past a sphere: A simplified description

被引：0
|
作者：
Liao, Shijun [1 ]
机构：
[1] Sch. of Nav. Arch. and Ocean Eng., Shanghai Jiaotong University, Shanghai 200030, China
来源：
Communications in Nonlinear Science and Numerical Simulation | 1999年 / 4卷 / 02期
关键词：
Approximation theory - Drag - Reynolds number;
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学科分类号：
摘要：
We apply a new asymptotic technique for nonlinear problems, namely the homotopy analysis method (HAM) proposed by LIAO, to give analytic solutions at the 10th-order approximation of the viscous flow past a sphere. Different from the well-known 2nd-order approximation of Proudman and Pearson, our approximations are uniformly valid in both near and far field of the flow, and our drag coefficient formulas agree better with experimental data in a larger region of Reynolds number.
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页码：104 / 109
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