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WSEAS Transactions on Heat and Mass Transfer


Print ISSN: 1790-5044
E-ISSN: 2224-3461

Volume 13, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.



Ferrofluid Flow along Stretched Surface under the Action of Magnetic Dipole

AUTHORS: Gabriella Bognár, Krisztián Hriczó

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ABSTRACT: The aim of this paper is to present numerical investigation on the magnetothermomechanical interaction between heated viscous incompressible ferrofluid and a cold wall in the presence of a spatially varying magnetic field. The two-dimensional parallel flow of a heated saturated ferrofluid along a surface, whose temperature increases linearly with distance from the leading edge, under the influence of the magnetic field due to two equally directed line currents which are perpendicular to the flow plane and equidistant from the wall is investigated. The influence of governing parameters corresponding to various physical conditions are analyzed. Numerical results are exhibited for the distributions of velocity and temperature, and the effect of the Prandtl number, the power law exponent and the ferrohydrodynamic interaction parameter is presented

KEYWORDS: ferrofluid, magnetic field, boundary layer, similarity transformation, magnetic dipole

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[3] J. L. Neuringer, Some viscous flows of a saturated ferrofluid under the combined influence of thermal and magnetic field gradients, J. Non-linear Mech. 1 (1966), 123– 127.

[4] T. Albrecht, C. Bührer, M. Fähnle, K. Maier, D. Platzek, J. Reske, First observation of ferromagnetism and ferromagnetic domains in a liquid metal. Appl Phys A 65 (1997),215–20.

[5] E.E. Tzirtzilakis, N.G. Kafoussias, A. Raptis, Numerical study of forced and free convective boundary layer flow of a magnetic fluid over a flat plate under the action of a localized magnetic field. ZAMP, 61 (2010), 929-947.

[6] M. Awais, M.Y. Malik, S. Bilal, T. Salahuddin, Arif Hussain, Magnetohydrodynamic (MHD) flow of Sisko fluid near the axisymmetric stagnation point towards a stretching cylinder, Results in Physics 7 (2017) 49–56.

[7] A. Zeeshan, A. Majeed, C. Fetecau, S. Muhammad, Effects on heat transfer of multiphase magnetic fluid due to circular magnetic field over a stretching surface with heat source/sink and thermal radiation, Results in Physics 7(2017), 3353-3360.

[8] A. Hussain, M.Y. Malik, S. Bilal, M. Awais, T. Salahuddin, Computational analysis of magnetohydrodynamic Sisko fluid flow over a stretching cylinder in the presence of viscous dissipation and temperature dependent thermal conductivity, Results in Physics 7 (2017) 139– 146.

[9] J. L. Neuringer, R. E. Rosensweig, Ferrohydrodynamics, Phys. Fluids 7 (1964), 1927-1937.

[10] Y. Amirat, K. Hamdache, Heat Transfer in Incompressible Magnetic Fluid, J. Math. Fluid Mech. 14 (2012), 217–247.

[11] G.I. Barenblatt, Scaling, Self-similarity, and Intermediate Asymptotic, Cambridge Text in Applied Mathematics, Vol. 14, Cambridge University Press, Cambridge, 1996.

[12] G. Bognár, On similarity solutions of MHD flow over a nonlinear stretching surface in nonNewtonian power-law fluid, Electron. J. Qual. Theory Differ. Equ. 2016, 1–12.

[13] G. Bognár, Magnetohydrodynamic Flow of a Power-Law Fluid over a Stretching Sheet with a Power-Law Velocity, in: Differential and Difference Equations with Applications (Springer Proceedings in Mathematics and Statistics; 164. ICDDEA, Amadora, Portugal, 2015), Springer, Bazel, 2016, 131–139.

[14] J. Chen, D. Sonawane, K. Mitra. V. R. Subramanian, Yet another code for Boundary Value Problems- Higher Derivative Method, manuscript

WSEAS Transactions on Heat and Mass Transfer, ISSN / E-ISSN: 1790-5044 / 2224-3461, Volume 13, 2018, Art. #10, pp. 103-108


Copyright © 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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