Hermite–Padé approximation approach to MHD Jeffery–Hamel flows

摘要

In this paper, we studied the problem of nonlinear flow of an incompressible conducting viscous fluid in convergent–divergent channels under the influence of an externally applied homogeneous magnetic field. The governing equations is obtained and solved using a special type of Hermite–Padé approximation semi-numerical approach. This technique offers some advantages over solutions obtained by using traditional methods such as finite differences, spectral method, shooting method, etc. It reveals the analytical structure of the solution function and the important properties of overall flow structure including velocity field, flow reversal control and bifurcations are discussed.