Analytical Investigation of Jeffery-Hamel Flow With High Magnetic Field and Nano Particle by Adomian Decomposition Method

M.Sheikholeslami; D.D.Ganji; H.R.Ashorynejad; Houman B.Rokni

doi:10.3879/j.issn.1000-0887.2012.01.003

Volume 33 Issue 1

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M.Sheikholeslami, D.D.Ganji, H.R.Ashorynejad, Houman B.Rokni. Analytical Investigation of Jeffery-Hamel Flow With High Magnetic Field and Nano Particle by Adomian Decomposition Method[J]. Applied Mathematics and Mechanics, 2012, 33(1): 24-34. doi: 10.3879/j.issn.1000-0887.2012.01.003

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Analytical Investigation of Jeffery-Hamel Flow With High Magnetic Field and Nano Particle by Adomian Decomposition Method

doi: 10.3879/j.issn.1000-0887.2012.01.003

Faculty of Mechanical Engineering, Babol University of Technology, Babol, P.O.Box 484, Islamic Republic of Iran

Received Date: 2010-12-20
Rev Recd Date: 2011-09-15
Publish Date: 2012-01-15

Abstract

Abstract

The effect of magnetic field and nano particle on the Jeffery-Hamel flow were studied by a powerful analytical method that was called Adomian decomposition method (ADM). The traditional Navier-Stokes equation of fluid mechanics and Maxwell’s electromagnetism governing equations were reduced to nonlinear ordinary differential equations to model this problem. The obtained results by this method are well agreed with the numerical (Runge-Kutta method) results and tabulated in a table. The plots confirm that the used method is in high accuracy for different α,Ha and Re numbers. First the flow field inside the divergent channel was studied for various values of Hartmann number and angle of channel and at last the effect of nanoparticle volume fraction in absence of magnetic field was investigated.
- magneto hydro dynamic,
- Jeffery-Hamel flow,
- ADM,
- nonlinear ordinary differential equation,
- nanofluid

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References(40)

References

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