A spectral method for the electrohydrodynamic flow in a circular cylindrical conduit

Abstract

This paper presents a combination of the hybrid spectral collocation technique and the spectral homotopy analysis method (SHAM for short) for solving the nonlinear boundary value problem (BVP for short) for the electrohydrodynamic flow of a fluid in an ion drag configuration in a circular cylindrical conduit. The accuracy of the present solution is found to be in excellent agreement with the previously published solution. The authors use an averaged residual error to find the optimal convergence-control parameters. Comparisons are made between SHAM generated results, results from literature and Matlab ode45 generated results, and good agreement is observed.

Keywords

Spectral collocation / Spectral homotopy analysis method / Optimal convergence-control parameters / Electrohydrodynamic flow

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