THERMAL SCIENCE

International Scientific Journal

Miloš M. Kocić

,

Živojin M. Stamenković

,

Jelena D. Petrović

,

Milica D. Nikodijević

INFLUENCE OF ELECTRICAL-CONDUCTIVITY OF WALLS ON MAGNETOHYDRODYNAMIC FLOW AND HEAT TRANSFER OF MICROPOLAR FLUID

ABSTRACT
In this paper, flow and heat transfer in a horizontal channel with isothermal walls has been investigated. The upper and lower plate have been kept at the two constant different temperatures, micropolar fluid is electrically conducting, while the channel plates have arbitrary electrical-conductivity. Applied magnetic field is perpendicular to the flow and the full MHD model is investigated. The general equations that describe the discussed problem under the adopted assumptions are reduced to ODE and closed-form solutions are obtained. The profiles of velocity, microrotation, induced magnetic and temperature fields in function of electrical-conductivity and the coupling parameter and the spin-gradient viscosity parameter together with electrical-conductivity, are graphically shown and discussed. [Project of the Serbian Ministry of Education, Science and Technological Development, Grant no. TR 35016: Research of MHD flow in the channels, around the bodies and application in the development of the MHD pump]
KEYWORDS
electrical-conductivity, MHD, heat transfer, micropolar
PAPER SUBMITTED: 2018-03-23
PAPER REVISED: 2018-07-06
PAPER ACCEPTED: 2018-07-10
PUBLISHED ONLINE: 2019-01-19
DOI REFERENCE: https://doi.org/10.2298/TSCI18S5591K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2018, VOLUME 22, ISSUE Supplement 5, PAGES [S1591 - S1600]
REFERENCES
  1. Erigen, A. C., Theory of Micropolar Fluids, J. Math. Mech., 16 (1966), 1, pp. 1-18
  2. Blum, E. L., et al., Heat and Mass Transfer in the Presence of an Electromagnetic Field, (in Russian), Zinatne, (1967)
  3. Attia, H. A., Kotb, N. A., MHD Flow between Two Parallel Plates with Heat Transfer, Acta Mechanica, 117 (1996), 1-4, 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, The 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 Aero-space 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. Djordjević, M., et al., Experimental Investigation of the Convective Heat Transfer in a Spirally Coiled Corrugated Tube with Radiant Heating, FACTA UNIVERSITATIS Series: Mechanical Engineering, 15 (2017), 3, pp. 495-506
  12. Ariman, T., et al., Microcontinuum Field Mechanics - A Review, Int. J. Eng. Sci., 11 (1973), 8, pp. 905-929
  13. Ariman, T., et al., Applications of Microcontinuum Field Mechanics, Int. J. Eng. Sci., 12 (1974), 4, pp. 273-291
  14. Eringen, A. C., Microcontinuum Field Theories: II. Fluent Media, Springer-Verlag, New York, USA, 2001
  15. Lukaszewicz, G., Micropolar Fluids, Theory and Application, Birkhauser, Basel, Switzerland, 1999
  16. Chamkha, A., et al., Unsteady MHD Natural Convection from a Heated Vertical Porous Plate in a Mi-cropolar Fluid with Joule Heating, Chemical Reaction and Thermal Radiaton, Meccanica, 46 (2011), 2, pp. 399-411
  17. Bachok, N., et al., Flow and Heat Transfer over an Unsteady Stretching Sheet in a Micropolar Fluid, Meccanica, 46 (2011), 5, pp. 935-942
  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), 048303
  20. Mekheimer, Kh. S., El Kot, M. A., The Micropolar Fluid Model for Blood Flow through a Tapered Ar-tery 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. Petrykowski, J., Walker, J., Liquid-Metal Flow in a Rectangular Duct with a Strong Non-Uniform Mag-netic Field, Journal of Fluid Mechanics, 139 (1984), Feb., pp. 309-324
  23. Kocić, M. M., et al., Heat Transfer in Micropolar Fluid Flow under the Influence of Magnetic Field, Thermal Science, 20 (2016), Supp. 5, pp. S1391-S1404
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Influence of electrical-conductivity of walls on magnetohydrodynamic flow and heat transfer of micropolar fluid

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence