%0 Journal Article
%T The analytical approximate solutions of capillary flow in circular tubes under microgravity<br>微重力下圆管毛细流动解析近似解研究
%A Li Yong-Qiang
%A Zhang Chen-Hui
%A Liu Ling
%A Duan Li
%A Kang Qi
%A <br>李永强
%A 张晨辉
%A 刘玲
%A 段俐
%A 康琦
%J 物理学报
%D 2013
%I 
%X 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.
%K circular tubes
%K microgravity
%K capillary flow
%K homotopy analysis method<br>圆管
%K 微重力
%K 毛细流动
%K 同伦分析法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=530695581BF857844D11560042DC1C76&yid=FF7AA908D58E97FA&iid=E158A972A605785F&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=0