%0 Journal Article
%T Analytic Solution for Steady Slip Flow between Parallel Plates with Micro-Scale Spacing
%A ZHANG Tian-Tian
%A JIA Li
%A WANG Zhi-Cheng
%A <br>张田田
%A 贾力
%A 王志成
%J 中国物理快报
%D 2008
%I 
%X The Navier-Stokes equations for slip flow between two very closely spaced parallel plates are transformed to an ordinary differential equation based on the pressure gradient along the flow direction using a new similarity transformation. A powerful easy-to-use homotopy analysis method was used to obtain an analytical solution. The convergence theorem for the homotopy analysis method is presented. The solutions show that the second-order homotopy analysis method solution is accurate enough for the current problem.
%K 44
%K 27
%K +g
%K 47
%K 15
%K Fe
%K 47
%K 27
%K Te<br>稳定滑流
%K Navier-Stokes方程
%K 解析解法
%K 数学物理方法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=834D68AA75933B7D02768A795021F5AD&yid=67289AFF6305E306&vid=C5154311167311FE&iid=CA4FD0336C81A37A&sid=F1A8654ADB4E656E&eid=DD74772618543076&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=1&reference_num=20