A novel computational strategy for solving electrohydrodynamic flow problem

In the present study, we design a novel computational procedure to obtain highly accurate solutions for the electrohydrodynamic flow model, which depicts the velocity of ionized fluid motion in a circular cylindrical conduit. The study investigates the velocity fields of electrohydrodynamic flow in relation to two crucial parameters: the level of nonlinearity and the electrical Hartmann number. A comprehensive examination of convergence and error analysis is also conducted. Furthermore, the effectiveness of the proposed approach is demonstrated through various test scenarios. In order to justify the advantages of the proposed numerical algorithm, the computed results are compared with those obtained using several existing methods in the literature, including the Lucas and Galerkin Collocation Methods, the Haar Wavelet Collocation Method, the Discrete Optimized Homotopy Analysis Method, the Least Squares Method, the Chebyshev and Legendre Spectral Methods, and Shifted Airfoil Polynomials of the Second Kind Method. These tests and comparisons highlight the efficacy and reliability of the proposed methodology in addressing electrohydrodynamic flow problems.