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The analytical approximate solutions of capillary flow in circular tubes under microgravity
Alternative TitleThe analytical approximate solutions of capillary flow in circular tubes under microgravity
Li YongQiang1; Zhang ChenHui1; Liu Ling1; Duan Li2; Kang Qi2
2013
Source PublicationACTA PHYSICA SINICA
ISSN1000-3290
Volume62Issue:4
AbstractThe 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.
KeywordNONLINEAR FORCED VIBRATIONS HONEYCOMB SANDWICH PANELS HOMOTOPY ANALYSIS METHOD DYNAMICS LIQUIDS WATER circular tubes microgravity capillary flow homotopy analysis method
Indexed ByCSCD
Language英语
Funding Project[Opened Subject of the National Microgravity Laboratory of Chinese Academy of Sciences]
CSCD IDCSCD:4766435
Citation statistics
Cited Times:4[CSCD]   [CSCD Record]
Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/156826
Collection中国科学院金属研究所
Affiliation1.中国科学院金属研究所
2.中国科学院
Recommended Citation
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).
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