MHD Flow of Shear-Thinning Fluid over a Rotating Disk with Heat Transfer

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This paper studied the Magneto hydrodynamic (MHD) flow and heat transfer of an electrically conducting non-Newtonian fluid over a rotating disk in the presence of a uniform magnetic field. The steady, laminar and axial-symmetric flow is driven solely by the rotating disk, and the incompressible fluid obeys the inelastic Ostwald de-Waele power-law model. The governing differential equations were reduced to a set of ordinary differential equations by utilizing the generalized Karman similarity transformation. The nonlinear two-point boundary value problem is solved by multi-shooting method. Numerical results show that the magnetic parameter and the power-law index have significant effects on the swirling flow and heat transfer.

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3599-3602

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October 2011

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] T. Von Kármán: Z. Angew. Math. Mech. Vol. 1 (1921), p.233–252.

Google Scholar

[2] W.G. Cochran and S. Goldstein: Mathematical Proceedings of the Cambridge Philosophical Society Vol. 30 (1934), p.365–375.

Google Scholar

[3] M.H. Rogers and G.N. Lance: Journal of Fluid Mechanics Vol. 7 (1960), p.617–631.

Google Scholar

[4] K. Milsaps and K. Polhausen: Journal of Aeronautical Sciences Vol. 19 (1952), pp.120-126.

Google Scholar

[5] P. J. Zandbergen and D. Dijkstra: Annual Review of Fluid Mechanics, Vol. 19 (1987), pp.465-491.

Google Scholar

[6] H.A. Attia: Communications in Nonlinear Science and Numerical Simulation Vol. 13 (2008), p.1571–1580.

Google Scholar

[7] Bikash Sahoo: Communications in Nonlinear Science and Numerical Simulation, Vol. 14 (2009) , p.2982–2998.

Google Scholar

[8] E. Osalusi, J. Side, R. Harris and B. Johnston: International Communications in Heat and Mass Transfer Vol. 34 (2007), p.1030–1040.

Google Scholar

[9] P. Mitschka and J. Ulbrecht: Coll. Czech. Chem. Commun. Vol. 30 (1965), p.2511–2526.

Google Scholar

[10] H.I. Andersson and E. de Korte: European Journal of Mechanics B/Fluids Vol. 21 (2002), pp.317-324.

Google Scholar

[11] Chunying Ming, Liancun Zheng, Xinxin Zhang: International Communications in Heat and Mass TransferVol. 38 (2011), pp.280-284.

Google Scholar