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 |
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Authors: | E E Tzirtzilakis N G Kafoussias and A Raptis |
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Institution: | (1) Institute of Refrigeration and Cryogenics, Shanghai JiaoTong University, Shanghai, 200030, China;(2) Anhui Jinke Magnetic Liquids Co.Ltd, Maanshan, 243000, China |
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Abstract: | The two-dimensional, steady, laminar, forced and free convective boundary layer flow of a magnetic fluid over a semi-infinite
vertical plate, under the action of a localized magnetic field, is numerically studied. The magnetic fluid is considered to
be water-based with temperature dependent viscosity and thermal conductivity. The study of the boundary layer is separated
into two cases. In case I the boundary layer is studied near the leading edge, where it is dominated by the large viscous
forces, whereas in case II the boundary layer is studied far from the leading edge of the plate where the effects of buoyancy
forces increase. The numerical solution, for these two different cases, is obtained by an efficient numerical technique based
on the common finite difference method. Numerical calculations are carried out for the value of Prandl number Pr = 49.832 (water-based magnetic fluid) and for different values of the dimensionless parameters entering into the problem
and especially for the magnetic parameter Mn, the viscosity/temperature parameter Θ
r
and the thermal/conductivity parameter S*. The analysis of the obtained results show that the flow field is influenced by the application of the magnetic field as
well as by the variation of the viscosity and the thermal conductivity of the fluid with temperature. It is hoped that they
could be interesting for engineering applications. |
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Keywords: | |
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