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Atherosclerotic Study of Non-Newtonian Steady Flow of Blood in Two Dimensions channel with Heat Transfer

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Author Affiliations

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

Res. J. Recent Sci., Volume 3, Issue (2), Pages 114-124, February,2 (2014)

Abstract

In this work, a steady two dimensional analytical solution is presented for non-isothermal, non-Newtonian fluid flowing through the channel having symmetric stenosis of cosine shape. The governing Navier-Stokes equations are reduced to compatibility and energy equations which are solved analytically with the help of regular perturbation method. The results obtained from the present analysis are presented analytically and graphically in terms of wall shear stress, separation and reattachment points, pressure gradient 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, pressure gradient, velocity distribution and wall shear stress while on the other hand the critical Re decreases. Its worth noting that the results presented in this article are compared with available results in literature and find good agreement.

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