TY - JOUR T1 - Solution of the Magnetohydrodynamics Jeffery-Hamel Flow Equations by the Modified Adomian Decomposition Method AU - Lu , Lei AU - Duan , Junsheng AU - Fan , Longzhen JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 675 EP - 686 PY - 2018 DA - 2018/05 SN - 7 DO - http://doi.org/10.4208/aamm.2014.m543 UR - https://global-sci.org/intro/article_detail/aamm/12070.html KW - AB -

In this paper, the nonlinear boundary value problem (BVP) for the Jeffery-Hamel flow equations taking into consideration the magnetohydrodynamics (MHD) effects is solved by using the modified Adomian decomposition method. We first transform the original two-dimensional MHD Jeffery-Hamel problem into an equivalent third-order BVP, then solve by the modified Adomian decomposition method for analytical approximations. Ultimately, the effects of Reynolds number and Hartmann number are discussed.