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
Citation: 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

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