Homotopy analysis method applied to electrohydrodynamic flow

Antonio Mastroberardino

Research output: Contribution to journalArticle

44 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2730-2736
Number of pages7
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume16
Issue number7
DOIs
StatePublished - Jul 1 2011

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics

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