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Study on effect of semi-angle between non-parallel walls on magneto hydro dynamic Jeffery Hamel flow using semi-analytical approach
Author(s) -
Mohammadreza Azimi
Publication year - 2013
Publication title -
journal of chemical engineering and materials science
Language(s) - English
Resource type - Journals
ISSN - 2141-6605
DOI - 10.5897/jcems2013.0153
Subject(s) - homotopy analysis method , homotopy perturbation method , nonlinear system , dimensionless quantity , mathematics , impulse (physics) , mathematical analysis , flow (mathematics) , mechanics , perturbation (astronomy) , physics , classical mechanics , quantum mechanics
In this paper, magneto hydro dynamic (MHD) Jeffery-Hamel flow with nanoparticle has been investigated and its nonlinear ordinary differential equation has been solved through homotopy perturbation method (HPM). The governing boundary layer equations are written into a dimensionless form by similarity transformations. The effect of semi-angle has also been investigated in both convergent and divergent channel. A closed agreement between the obtained results and forth order Runge Kutta solution has been established. The proposed procedure can be applied to investigate the effect of other parameters on current problem.   Key words: Magneto hydro dynamic flow, Jeffery Hamel problem, homotopy perturbation method, analytical solution.

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