Homotopy analysis method applied to electrohydrodynamic flow

详细信息    查看全文

• 作者：Antonio Mastroberardino ; ^a ; ^{axm62@psu.edu}
• 关键词：Homotopy analysis method ; Electrohydrodynamic flow ; Nonlinear boundary value problem
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：2011
• 出版时间：July 2011
• 年：2011
• 卷：16
• 期：7
• 页码：2730-2736
• 全文大小：537 K

文摘

In this paper, we consider the nonlinear boundary value problem (BVP) for the electrohydrodynamic flow of a fluid in an ion drag configuration in a circular cylindrical conduit. We present analytical solutions based on the homotopy analysis method (HAM) for various values of the relevant parameters and discuss the convergence of these solutions. We also compare our results with numerical solutions. The results provide another example of a highly nonlinear problem in which HAM is the only known analytical method that yields convergent solutions for all values of the relevant parameters.