Journal
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
Volume 7, Issue 5, Pages 675-686Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.4208/aamm.2014.m543
Keywords
Jeffery-Hamel flow; magnetohydrodynamics; nonlinear differential equation; Adomian decomposition method; Adomian polynomials
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Funding
- Natural Science Foundation of Shanghai [14ZR1440800]
- Innovation Program of Shanghai Municipal Education Commission [14ZZ161]
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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.
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