A new approximate method and its convergence for a strongly nonlinear problem governing electrohydrodynamic flow of a fluid in a circular cylindrical conduit

In this paper, we propose a new approximate method, namely the discrete Adomian decomposition method (DADM), to approximate the solution of a strongly nonlinear singular boundary value problems describing the electrohydrodynamic flow of a fluid in an iron drag configuration in a circular cylindrical conduit. Convergence of the new method is analyzed. The velocity field of electrohydrodynamic flow of a fluid is determined. The influence of the Hartmann electric number and the strength of nonlinearity on the velocity profile is investigated. It is observed that the velocity field increases with the increase in the Hartmann electric number and decreases with the increase in the strength of nonlinearity. The results obtained by the proposed method are compared with results given in the literature.