Series solutions of stagnation slip flow and heat transfer by the homotopy analysis method
Series solutions of stagnation slip flow and heat transfer by the homotopy analysis method作者机构：Department of MathematicsUniversity of Central Florida
出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)
年 卷 期：2009年第52卷第6期
页 面：893-899页
核心收录：
学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学]
基 金：Supported by the National Natural Science Foundation of China (Grant No.10872129)
主 题：stagnation slip flow Navier boundary condition nano-fluidics heat transfer homotopy analysis method
摘 要：An analytical approximation for the similarity solutions of the two-and three-dimensional stagnation slip flow and heat transfer is obtained by using the homotopy analysis method. This method is a series expansion method, but it is different from the perturbation technique, because it is independent of small physical parameters at all. Instead, it is based on a continuous mapping in topology so that it is applicable for not only weakly but also strongly nonlinear flow phenomena. Convergent [m,m] homotopy Padé approximants are obtained and compared with the numerical results and the asymptotic approximations. It is found that the homotopy Padé approximants agree well with the numerical results. The effects of the slip length and the thermal slip constant β on the heat transfer characteristics are investigated and discussed.
维普期刊数据库
同方期刊数据库