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Atherosclerotic Study of non-Isothermal non-Newtonian Steady Flow of Blood in a Plane by Adomian Decomposition Method

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Author Affiliations

  • 1Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 44000, Islamabad, Pakistan
  • 2Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 44000, Islamabad, Pakistan
  • 3Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, 44000, Islamabad, Pakistan

Int. Res. J. Biological Sci., Volume 5, Issue (4), Pages 54-63, April,10 (2016)

Abstract

In the present study, the analytical solutions of blood flow for two dimensional non-isothermal, non-Newtonian fluids flowing through the channel having symmetric stenosis of cosine shape are discussed. The governing Navier-Stokes equations are reduced to compatibility equation along with energy equation and solved analytically by Adomian decomposition method (ADM) and regular perturbation method (RPM). The results are presented analytically and graphically in terms of streamlines, wall shear stress, separation and reattachment points and temperature distribution on blood flow through a stenoised channel. It has been observed that the non-Newtonian nature of blood reduces the magnitude of the peak of flow over the stenoised region. Further, increase in second grade parameter increases the temperature and wall shear stress while the critical Re decreases. It is observed from comparison that the ADM is efficient, reliable, easily computable and provides a fast convergent series. It worthy noting that the results obtained in this paper are compared with published results and found good agreement.

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