OICC Press Journal of Theoretical and Applied Physics 2251-7235 6 1 2023 11 17 Semi-analytic algorithms for the electrohydrodynamic flow equation 10.1186/2251-7235-6-45 EN Ram K Pandey Department of Mathematics, Government Gundadhur Degree College Vipul K Baranwal Department of Applied Mathematics, Indian Institute of Technology, Banaras Hindu University Chandra S Singh Department of Applied Mathematics, Indian Institute of Technology, Banaras Hindu University Om P Singh Department of Applied Mathematics, Indian Institute of Technology, Banaras Hindu University Journal Article 2023 11 17 AbstractIn this paper, we consider the nonlinear boundary value problem for the electrohydrodynamic (EHD) flow of a fluid in an ion-drag configuration in a circular cylindrical conduit. This phenomenon is governed by a nonlinear second-order differential equation. The degree of nonlinearity is determined by a nondimensional parameter α. We present two semi-analytic algorithms to solve the EHD flow equation for various values of relevant parameters based on optimal homotopy asymptotic method (OHAM) and optimal homotopy analysis method. In 1999, Paullet has shown that for large α, the solutions are qualitatively different from those calculated by Mckee in 1997. Both of our solutions obtained by OHAM and optimal homotopy analysis method are qualitatively similar with Paullet’s solutions.