An approximation of the analytical solution of the Jeffery–Hamel flow by decomposition method

Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem

“…The problem of steady viscous flow in a convergent channel is analyzed analytically and numerically for small, moderately large and asymptotically large Reynolds numbers over the entire range of allowed convergence angles by Akulenko, et al [4]. The MHD Jeffery-Hamel problem is solved by Makinde and Mhone [5] using a special type of Hermite-Padé approximation semi-numerical approach and by Esmaili et al [6] by applying the Adomian decomposition method. The classical Jeffery-Hamel flow problem is solved by Ganji et al [7] by means of the variational iteration and homotopy perturbation methods, and by Joneidi et al [8] by the differential transformation method, Homotopy Perturbation Method and Homotopy Analysis Method.…”

Some new remarks on MHD Jeffery-Hamel fluid flow problem

“…Jeffery-Hamel flows are exact similarity solutions of the Navier-Stokes equations in the special case of two-dimensional flow through a channel with inclined plane walls meeting at a vertex, and with a source or sink at the vertex. A lot of papers propose different methods to solve the nonlinear magnetohydrodynamics (MHD) Jeffery-Hamel blood flow problem: numerical solutions [3], analytical solutions [4][5][6][7][8], or solutions obtained via stochastic numerical methods based on computational intelligence techniques [9].…”

Magnetohydrodynamic Stability of Jeffery-Hamel Flow using Different Nanoparticles

“…He interpreted that the effect of external magnetic field works as a parameter in solution of the MHD flows in convergent -divergent channels. A survey of information on this problem can be found in the Esmaili et al (2008). Recently, the three analytical methods such as Homotopy analysis method, Homotopy perturbation method and Differential transformation method (DTM) were used by Joneidi et al (2010) to find the analytical solution of Jeffery-Hamel flow.…”