Title of article :
Semi-analytic algorithms for the electrohydrodynamic flow equation
Author/Authors :
Pandey, Ram K Banaras Hindu University - Indian Institute of Technology - Department of Applied Mathematics, India , Pandey, Ram K Government Gundadhur Degree College - Department of Mathematics, India , Baranwal, Vipul K Banaras Hindu University - Indian Institute of Technology - Department of Applied Mathematics, India , Singh, Chandra S Banaras Hindu University - Indian Institute of Technology - Department of Applied Mathematics, India , Singh, Om P Banaras Hindu University - Indian Institute of Technology - Department of Applied Mathematics, India
Abstract :
In 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.
Keywords :
Optimal homotopy asymptotic method (OHAM) , Optimal homotopy analysis method , Electrohydrodynamic flow , Square residual error , Gauss quadrature
Journal title :
Journal of Theoretical and Applied Physics
Journal title :
Journal of Theoretical and Applied Physics
