ABSTRACT
The present work shows the application of Adomian decomposition method for providing solutions to the highly nonlinear and singular boundary value problem of electrohydrodynamic flow equation of a fluid in an ion drag configuration in a circular cylindrical conduit. The the nonlinearity in the governing equation is in the form of a rational function, and this causes a significant challenge in obtaining analytical solutions. However, with the aid of Adomian decomposition method, approximate analytical solution is obtained and the results of the solution compare extremely well with results of the numerical solutions. Therefore, the approximate analytical solution of the problem as presented by the method shows that Adomian decomposition method overcome the nonlinearity and singularity of the problem without any need of restrictive assumptions, perturbation parameter, discretization or linearization. Parametric studies show that graphical illustrations of the effects of relevant parameters on the flow response are presented. It the fluid velocity decrease with the radial distance from the center of the cylindrical conduit but increases with the Hartmann electric number, and the nonlinear parameter. It can be stated that Adomian decomposition method is a very efficient approximate analytical method for solving highly nonlinear problems in science and engineering.
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