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In this contribution, the magnetohydrodynamic non-Newtonian nanofluid flow through a porous medium in eccentric annuli with peristalsis is investigated. This has been done under the combined effect of viscous dissipation and radiation. The inner annulus is rigid and at rest, while the outer annulus has a sinusoidal wave traveling down its wall. The fundamental equations are modulated under the long wave length assumptions, and a closed form of solution is obtained for the axial velocity. While, homotopy perturbation solution is obtained, which satisfies the energy and nanoparticles equations. Numerical results for the axial velocity, temperature and nanoparticles phenomena distributions as well as the reduced Nusselt number and Sherwood number are obtained and tabulated for various parametric conditions.

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ABOU-ZEID, Mohamed. HOMOTOPY PERTURBATION METHOD TO MHD NON-NEWTONIAN NANOFLUID FLOW THROUGH A POROUS MEDIUM IN ECCENTRIC ANNULI WITH PERISTALSIS. Thermal Science, [S.l.], mar. 2017. ISSN 2334-7163. Available at: <http://thermal-science.tech/journal/index.php/thsci/article/view/2117>. Date accessed: 14 dec. 2017. doi: https://doi.org/10.2298/TSCI150215079A.
Received 2017-03-02
Accepted 2017-03-13
Published 2017-03-13


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