Analytical Approximate Solution of Nonlinear Differential Equation Governing Jeffery-Hamel Flow with High Magnetic Field by Adomian Decomposition Method | Zendy

D.D. Ganji | Zendy; M. Sheikholeslami | Zendy; Hamid Reza Ashorynejad | Zendy

Open Access

Analytical Approximate Solution of Nonlinear Differential Equation Governing Jeffery-Hamel Flow with High Magnetic Field by Adomian Decomposition Method

Author(s) -

D.D. Ganji,

M. Sheikholeslami,

Hamid Reza Ashorynejad

Publication year - 2011

Publication title -

isrn mathematical analysis

Language(s) - English

Resource type - Journals

eISSN - 2090-4665

pISSN - 2090-4657

DOI - 10.5402/2011/937830

Subject(s) - adomian decomposition method , magnetohydrodynamic drive , hartmann number , mathematics , nonlinear system , mathematical analysis , magnetic field , magnetohydrodynamics , flow (mathematics) , exact solutions in general relativity , differential equation , classical mechanics , physics , geometry , quantum mechanics

The magnetohydrodynamic Jeffery-Hamel flow is studied analytically. The traditional Navier-Stokes equation of fluid mechanics and Maxwell's electromagnetism governing equations reduce to nonlinear ordinary differential equations to model this problem. The analytical tool of Adomian decomposition method is used to solve this nonlinear problem. The velocity profile of the conductive fluid inside the divergent channel is studied for various values of Hartmann number. Results agree well with the numerical (Runge-Kutta method) results, tabulated in a table. The plots confirm that the method used is of high accuracy for different α, Ha, and Re numbers.

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