The analytical approximate solutions of capillary flow in circular tubes under microgravity

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	The analytical approximate solutions of capillary flow in circular tubes under microgravity
	Li YongQiang 2; Zhang ChenHui 2; Liu Ling 2; Duan Li 1; Kang Qi 1
刊名	ACTA PHYSICA SINICA
	2013
卷号	62 期号:4
关键词	NONLINEAR FORCED VIBRATIONS HONEYCOMB SANDWICH PANELS HOMOTOPY ANALYSIS METHOD DYNAMICS LIQUIDS WATER circular tubes microgravity capillary flow homotopy analysis method
ISSN号	1000-3290
其他题名	The analytical approximate solutions of capillary flow in circular tubes under microgravity
英文摘要	The capillary flow in a circular tube under microgravity environment is investigated by the homotopy analysis method (HAM), and the approximate analytical solution in the form of series solution is obtained. Different from other analytical approximate methods, the HAM is totally independent of small physical parameters, and thus it is suitable for most nonlinear problems. The HAM provides us a great freedom to choose basis functions of solution series, so that a nonlinear problem can be approximated more effectively, and it adjusts and controls the convergence region and the convergence rate of the series solution through introducing auxiliary parameter and the auxiliary function. The HAM hews out a new approach to the analytical approximate solutions of capillary flow in a circular tube. Through the specific example and comparing homotopy approximate analytical solution with the numerical solution which is obtained by the fourth-order Runge-Kutta method, the computed result indicate that this method has the good computational accuracy.
资助项目	[Opened Subject of the National Microgravity Laboratory of Chinese Academy of Sciences]
语种	英语
CSCD记录号	CSCD:4766435
内容类型	期刊论文
源URL	[http://ir.imr.ac.cn/handle/321006/156825]
专题	金属研究所_中国科学院金属研究所
作者单位	1.中国科学院 2.中国科学院金属研究所
推荐引用方式 GB/T 7714	Li YongQiang,Zhang ChenHui,Liu Ling,et al. The analytical approximate solutions of capillary flow in circular tubes under microgravity[J]. ACTA PHYSICA SINICA,2013,62(4).
APA	Li YongQiang,Zhang ChenHui,Liu Ling,Duan Li,&Kang Qi.(2013).The analytical approximate solutions of capillary flow in circular tubes under microgravity.ACTA PHYSICA SINICA,62(4).
MLA	Li YongQiang,et al."The analytical approximate solutions of capillary flow in circular tubes under microgravity".ACTA PHYSICA SINICA 62.4(2013).