HEAT TRANSFER IN MICROPOLAR FLUID FLOW UNDER THE INFLUENCE OF MAGNETIC FIELD

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Miloš M. KOCIĆ Živojin M. STAMENKOVIĆ Jelena D. PETROVIĆ Jasmina B. BOGDANOVIĆ-JOVANOVIĆ Milica D. NIKODIJEVIĆ

Abstract

In this paper, the steady flow and heat transfer of an incompressible electrically conducting micropolar fluid through a parallel plate channel is investigated. The upper and lower plates have been kept at the two constant different temperatures and the plates are electrically insulated. Applied magnetic field is perpendicular to the flow, while the Reynolds number is significantly lower than one i. e. considered problem is in induction-less approximation. The general equations that describe the discussed problem under the adopted assumptions are reduced to ordinary differential equations and three closed-form solutions are obtained. The velocity, micro-rotation and temperature fields in function of Hartmann number, the coupling parameter and the spin-gradient viscosity parameter are graphically shown and discussed.

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How to Cite
KOCIĆ, Miloš M. et al. HEAT TRANSFER IN MICROPOLAR FLUID FLOW UNDER THE INFLUENCE OF MAGNETIC FIELD. Thermal Science, [S.l.], v. 20, p. S1391-S1404, feb. 2017. ISSN 2334-7163. Available at: <http://thermal-science.tech/journal/index.php/thsci/article/view/1658>. Date accessed: 14 dec. 2017. doi: https://doi.org/10.2298/TSCI16S5391K.
Section
Articles
Received 2017-02-07
Accepted 2017-02-07
Published 2017-02-07

References

[1] Eringen, A. C., Theory of Micropolar Fluids, J. Math. Mech., 16 (1966), pp. 1-18
[2] Blum, E. L., et al., Heat and Mass Transfer in the Presence of an Electromagnetic Field, (in Russian), Zinatne, (1967), p. 236
[3] Attia, H. A., Kotb, N. A., MHD Flow between Two Parallel Plates with Heat Transfer, Acta Mechanica, 117 (1996), 1, pp. 215-220
[4] Bodosa, G., Borkakati, A. K., MHD Couette Flow with Heat Transfer between Two Horizontal Plates in the Presence of a Uniform Transverse Magnetic Field, Theoretical and Applied Mechanics, 30 (2003), 1, pp. 1-9
[5] Sivak, B. A., et al., MHD Processes in the Electromagnetic Stirring of Liquid Metal in Continuous Section and Bloom Casters, Metallurgist, 53 (2009), 7, pp. 469-481
[6] Morley, N. B., et al., Thermo-Fluid Magnetohydrodynamic Issues for Liquid Breeders, Fusion Science and Technology, 47 (2005), 3, pp. 488-501
[7] Abdollahzadeh Jamalabadi, M. Y., Analytical Study of Magnetohydrodynamic Propulsion Stability, Journal of Marine Science and Application, 13 (2014), 3, pp. 281-290
[8] Shatrov, V., Gerbeth, G., On Magnetohydrodynamic Drag Reduction And Its Efficiency, Proceedings, 15th Riga and 6th PAMIR Conference on Fundamental and Applied MHD Instability and Transition to Turbulence in MHD, Riga, Latvia, 2005, pp. 149-152
[9] Saito, S., et al., Boundary Layer Separation Control by MHD Interaction, Proceedings, 46th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nev., USA, 2008
[10] Nikodijevic, D., Stamenkovic, Z., General Characteristics of Unsteady MHD Temperature Boundary Layer, International Journal of Non-Linear Mechanics, 73 (2015), July, pp. 75-84
[11] Ariman, T., et al., Microcontinuum Field Mechanics – a Review, Int. J. Eng. Sci., 11 (1973), 8, pp. 905- 929
[12] Ariman, T., et al., Applications of Microcontinuum Field Mechanics, Int. J. Eng. Sci., 12 (1974), 4, pp. 273-293
[13] Eringen, A. C., Microcontinuum Field Theories: II. Fluent Media, Springer-Verlag, New York, USA, 2001
[14] Lukaszewicz, G., Micropolar Fluids, Theory and Application, Birkhauser, Basel, Switzerland, 1999
[15] Chamkha, A., et al., Unsteady MHD Natural Convection from a Heated Vertical Porous Plate in a Micropolar Fluid with Joule Heating, Chemical Reaction and Radiaton Effects, Meccanica, 46 (2011), 2, pp. 399-411
[16] Bachok, N., et al., Flow and Heat Transfer over an Unsteady Stretching Sheet in a Micropolar Fluid, Meccanica, 46 (2011), 5, pp. 935-942
[17] Ellahi, R., Steady and Unsteady Flow Problems for Newtonian and Non-Newtonian Fluids: Basics, Concepts, Methods, VDM Verlag, Germany, 2009
[18] Toshivo, T., et al., Magnetizing Force Modelled and Numerically Solved for Natural Convection of Air in a Cubic Enclosure: Effect of the Direction of the Magnetic Field, International Journal of Heat and Mass Transfer, 45 (2002), 2, pp. 267-277
[19] Sengupta, A., et al., Liquid Crystal Microfluidics for Tunable Flow Shaping, Phys. Rev. Lett., 110 (2013), 4, ID 048303
[20] Mekheimer, Kh. S., El-Kot, M. A., The Micropolar Fluid Model For Blood Flow Through a Tapered Artery with a Stenosis, Acta Mechanica Sinica, 24 (2008), 6, pp. 637-644
[21] Ashraf, M., et al., MHD Non-Newtonian Micropolar Fluid Flow and Heat Transfer in Channel with Stretching Walls, Applied Mathematics and Mechanics, 34 (2013), 10, pp. 1263-1276
[22] Nor-Azizah Y., et al., Hydromagnetic Flow and Heat Transfer Adjacent to a Stretching Vertical Sheet in a Micropolar Fluid, Thermal Science, 17 (2013), 2, pp. 525- 532
[23] Bakier, A. Y., Natural Convection Heat and Mass Transfer in a Micropolar Fluid Saturated Non-Darcy Porous Regime with Radiation and Thermophoresis Effects, Thermal Science, 15 (2011), Suppl. 2, pp. S317-S326

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