Open AccessAnalytical approximations for capillary flow in interior corners of infinite long cylinder under microgravity
Author(s) -
Yongqiang Li,
Ling Liu,
Chenhui Zhang,
Duan Li,
Qi Kang
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.024701
Subject(s) - homotopy analysis method , nonlinear system , convergence (economics) , series (stratigraphy) , cylinder , flow (mathematics) , capillary action , rate of convergence , function (biology) , basis function , homotopy , mathematical analysis , mathematics , computer science , mechanics , physics , geometry , paleontology , computer network , channel (broadcasting) , quantum mechanics , evolutionary biology , pure mathematics , economics , biology , economic growth , thermodynamics
The capillary flow in interior corners of infinite long cylinder under microgravity environment is investigated by the homotopy analysis method (HAM). Different from other approximate computational method, the HAM totally depends on small physical parameters, and thus it is suitable for most nonlinear problems. The HAM provides us with a great freedom to choose basis functions of solution series, so that a nonlinear problem can be more effectively approximated. The HAM can adjust and control the convergence region and the convergence rate of the series solution through introducing auxiliary parameter and the auxiliary function. The computed result indicates that this method has the advantage of high accuracy.