The Application of Differential Transformation Method to Solve Nonlinear Differential Equation Governing Jeffery-hamel Flow with High Magnetic Field
نویسندگان
چکیده
The article solves the Jeffery–Hamel flow with analytically method and the effect of external magnetic field is studied. The traditional Navier-Stoks equation of fluid mechanics and Maxwell’s electromagnetism governing equations reduce to nonlinear ordinary differential equations to model this problem. Differential transformation is applied in order to obtain analytical solution of the governing nonlinear differential equations. The velocity profile of the conductive fluid inside the divergent channel studied for various values of Hartmann number. The obtained results are finally compared through the illustrative graphs and tables with the numerical solution (Runge-Kutta method).This comparison is shown differential transformation method is a capable tool to solve this nonlinear problem for different á, Hartmann number and Reynolds numbers.
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