Miloš Kocić, Živojin Stamenković, Jelena Petrović, Milica Nikodijević

DOI Number
First page
Last page


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 plate have been kept at the two constant different temperatures and the plates are electrically insulated. The applied magnetic field is perpendicular to the flow, while the Reynolds number is significantly lower than one i.e. the 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 closed-form solutions are obtained. The influences of each of the governing parameters on velocity, heat transfer on the plates (Nusselt number), flow rate and skin friction are discussed with the aid of graphs.


magnetohydrodynamic, micropolar, heat transfer

Full Text:



Blum, E. L., Zaks, M. V., Ivanov, U. I., Mikhailov, Yu. A. “Heat and Mass transfer in the Presence of an Electromagnetic Field”, (in Russian), Zinatne, Riga, 1967.

Cramer, K. R., Pai, S. I., “Magnetofluid Dynamics for Engineers and Applied Physicists”, McGraw-Hill, NY, U.S.A. 1973

Attia, H.A., Kotb, N.A. “MHD flow between two parallel plates with heat transfer”, Acta Mechanica, Vol. 117, pp. 215-220, 1996.

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,Vol. 30, No. 1, pp. 1-9, 2003.

B. Sivak, V. Grachev, V. Parshin, A. Chertov, S. Zarubin, V. Fisenko, A. Solovev, “MHD processes in the electromagnetic stirring of liquid metal in continuous section and bloom casters”, Metallurgist, Volume 53, Issue 7, pp 469-481, 2009.

Morley, N. B., Malang, S. and Kirillov, I. “Thermo-fluid magnetohydrodynamic issues for liquid breeders”, Fusion Science and Technology,Vol. 47, pp. 488-501, 2005.

M. Y. Abdollahzadeh Jamalabadi, “Analytical study of magnetohydrodynamic propulsion stability, Journal of Marine Science and Application”, Volume 13, Issue 3, pp 281-290, 2014.

V. Shatrov, G. Gerbeth, “On Magnetohydrodynamic Drag Reduction And Its Efficiency”, The 15th Riga and 6th PAMIR Conference on Fundamental and Applied MHD Instability and transition to turbulence in MHD, Riga, Latvia, pp. 149-152, 2005.

S. Saito, K. Udagawa, K. Kawaguchi, S. Tomioka, and H. Yamasaki, “Boundary Layer Separation Control by MHD Interaction”, 46th AIAA Aerospace Sciences Meeting and Exhibit, 2008.

Nikodijevic Dragisa, Stamenkovic Zivojin, “Generaleristics of unsteady MHD temperature boundary layer International journal of non-linear mechanics”,Vol.73, pp. 75-84, 2015.

Erigen, A. C.: “Theory of micropolar fluids”, J. Math. Mech. Vol. 16, pp.1-18, 1966.

T. Ariman, M.A. Turk, N.D. Sylvester, “Microcontinuum field mechanics – a review”, Int. J. Eng. Sci. Vol 11, pp. 905–929, 1973.

A.C. Eringen, “Microcontinuum Field Theories: II. Fluent Media”, Springer-Verlag, New York, 2001.

G. Lukaszewicz, “Micropolar Fluids Theory and Application”, Birkhauser, Basel, 1999.

A.Chamkha, R.A.Mohamed and S.E.Ahmed, “Unsteady MHD natural convection from a heated vertical porous plate in a micropolar fluid with Joule heating, chemical reaction and thermal radiaton”, Meccanica, Vol. 46, pp. 399-411, 2011.

N.Bachok, A.Ishak and R.Nazar, “Flow and heat transfer over an unsteady stretching sheet in a micropolar fluid”, Meccanica, Vol. 46, pp. 935-942, 2011.



  • There are currently no refbacks.

Print ISSN: 1820-6417
Online ISSN: 1820-6425