Semi-Analytic Solutions of Electrohydrodynamic Flow in a Circular Cylinder Conduit
Keywords:Modified optimal homotopy asymptotic method, Optimal homotopy asymptotic method, Electrohydrodynamic flow, Nonlinear boundary value problem, Square residual error
This paper is intended to construct a new modification of the optimal homotopy asymptotic method that can be used to solve various nonlinear boundary value problems (BVP). This modification is called the modified optimal homotopy asymptotic method (MOHAM). The modification is based on the unique representation of nonlinear terms in different powers of embedding parameter q . We have tested the proposed method-MOHAM to the nonlinear BVP that reveals the electrohydrodynamic (EHD) flow of a fluid in an ion drag configuration in a circular cylindrical conduit. This is a singular second-order ordinary differential equation. We have also given the solution of the EHD flow equation using optimal homotopy asymptotic method (OHAM) by taking the linear operator different from the previous study. Also, we have made the comparison of solution obtained by our proposed method and the existing results.
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