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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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 Nadeem, S., Haq, R. U., MHD Boundary Layer Flow Of A Nanofluid Passed Through A Porous Shrinking Sheet With Thermal Radiation, J. Aerosp. Eng. 28 (2015), 04014061.
 Mustafa, M., Hayat, T., Pop, I., Asghar, S., Obaidat, S., Stagnation-Point Flow of A Nanofluid Towards A Stretching Sheet, Int. J. Heat Mass Transfer, 54 (2011), pp. 5588– 5594
 Ho, C. J., Chen, M. W., Li, Z. W., Numerical Simulation of Natural Convection of Nanoﬂuid in a Square Enclosure: Effect Due To Uncertainties of viscosity And Thermal Conductivity, Int. J. Heat Mass Transfer, 51 (2008), pp. 4506–4516
 Santra, A. K., Sen, S., Chakraborty, N., Study of Heat Transfer Augmentation In A Differentially Heated Square Cavity Using Copper–Water Nanoﬂuid, Int. J. Therm. Sci. 47 (2008), pp. 1113–1122
 Mahmoudi, A. H., Shahi, M., Talebi, F., Effect of Inlet And Outlet Location On The Mixed Convective Cooling Inside The Ventilated Cavity Subjected To An External Nanoﬂuid, Int. Commun. Heat Mass Transfer, 37 (2010), pp. 1158–1173
 Mahmoudi, A. H., Shahi, M., Shahedin, A.M., Hemati, N., Numerical Modeling of Natural Convection In An Open Cavity With Two Vertical Thin Heat Sources Subjected To A Nanoﬂuid, Int. Commun. Heat Mass Transfer, 38 (2011), pp. 110–118
 Abu-Nada, E., Effects of Variable Viscosity And Thermal Conductivity of Al2O3–Water Nanoﬂuid On Heat Transfer Enhancement In Natural Convection, Int. J. Heat Fluid Flow 30 (2009), pp. 679–690
 Khaled, A. R. A., Vafai, K., Heat Transfer Enhancement Through Control of Thermal Dispersion Effects, Int. J. Heat Mass Transfer, 48 (2005), pp. 2172–2185
 Kuznetsov, A. V., Nield, D. A., Natural Convective Boundary-Layer Flow of A Nanoﬂuid Past A Vertical Plate, Int. J. Thermal Sci. 49 (2010), pp. 243–247
 Choi, S. U. S., Enhancing Thermal Conductivity of Fluids With Nanoparticles, ASME Fluids Eng. Div. 231 (1995), pp. 99–105
 Chen, R. X., Liu, F. J., J. He, H., Fan, J., Silk Cocoon: "Emperor's New Clothes" for Pupa: Fractal Nano-Hydrodynamical Approach, J. Nano Res. 22 (2013), pp. 65-70
 Eldabe, N. T., Abou-zeid, M. Y., Magnetohydrodynamic Peristaltic Flow With Heat And Mass Transfer of Micropolar Biviscosity Fluid Through A Porous Medium Between Two Co-Axial Tubes, Arab J. Sci. Eng. 39 (2014), pp. 5045–5062
 Mustafa, M., Hina, S., Hayat, T., Alsaedi, A., Inﬂuence of Wall Properties On The Peristaltic ﬂow of A Nanoﬂuid: Analytic And Numerical Solutions, Int. J. Heat Mass Transfer 55 (2012), pp. 4871–4877
 Akbar, N. S., Nadeem, S., Endoscopic Effects On Peristaltic Flow of A Nanoﬂuid, Commun. Theor. Phys. 56 (2011), pp. 761–768
 Akbar, N. S., Nadeem, S., Hayat, T., Hendi, A. A., PeristalticFlow of A Nanoﬂuid With Slip Effects, Meccanica, 47 (2012), pp. 1283-1294
 Eldabe, N. T., Abou-zeid, M. Y., The Wall Properties Effect On Peristaltic Transport of Micropolar Non-Newtonian Fluid With Heat And Mass Transfer. Math. Prob. Eng. (2010), Article ID 898062, 40 pages.
 Akbar, N. S., Nadeem, S., Hayat, T., Hendi, A. A., Peristaltic Flow of A Nanofluid In A Non-Uniform Tube, Heat Mass Transfer/Waerme-und Stoffuebertragung 48 (2012), pp. 451–459
 Akbar, N. S., Nadeem, S., Peristaltic Flow of A Phan–Thien–Tanner Nanofluid In A Diverging Tube, Heat Transfer, 41 (2012), pp. 10–22
 Ebaid, A., Aly, E. H., Exact Analytical Solution of The Peristaltic Nanofluids Flow In An Asymmetric Channel With Flexible Walls And Slip Condition: Application To The Cancer Treatment, Comput. Math. Meth. Med. (2013), Article ID 825376, 8 pages.
 Ebaid, A., Remarks On The Homotopy Perturbation Method For The Peristaltic Flow of Jeffrey Fluid With Nano-Particles In An Asymmetric Channel, Comput. Math. Appl. 68 (2014), pp. 77–85
 Nelson, E. B., Well Cementing, Elseivier, Amsterdam, New York, USA, 1990
 Walton, I. C., Bittleston, S. H., The Flow of A Bingham Plastic Fluid In A Narrow Eccentric Annulus, J. Fluid Mech. 222 (1991), pp. 39-60
 Ahmed, M. E. S., Attia, H. A., Magnetohydrodynamic Flow And Heat Transfer of A Non-Newtonian Fluid In An Eccentric Annulus, Can. J. Phys. 76 (1998), pp. 391-401
 El-Sayed, M. F., Eldabe, N. T., Ghaly, A. Y., Sayed, H. M., Magnetothermodynamic Peristaltic Flow of Bingham Non-Newtonian Fluid in Eccentric Annuli With Slip Velocity and Temperature Jump Conditions, J. Mechanics, 29 (2013), pp. 493–506
 Rohsenow, W. M., Hartnett, J. P., Cho, Y. I., Handbook of Heat Transfer, McGraw-Hill, New York, USA, 1998
 Davood, D. G., Zaman, Z. G., Hosain, D. G., Determination of temperature distribution for annular fins with temperature dependent thermal conductivity by HPM, Thermal Sci. 15 (2011), pp. S111–S115
 He, J. H., Homotopy Perturbation Technique, Comput. Methods Appl. Mech. Eng. 178 (1999), pp. 257-262
 Rajeev, Homotopy perturbation method for a Stefan problem with variable latent heat, Thermal Sci. 18 (2014), pp. 391–398