10th International Congress of the Serbian Society of Mechanics (18-20. 06. 2025, Niš) [pp. 67-74]
AUTHOR(S) / АУТОР(И): Miloš Kocić
, Živojin Stamenković
, Jasmina Bogdanović Jovanović
, Jelena Petrović
, Milica Nikodijević Đorđević 
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DOI: 10.46793/ICSSM25.064K
ABSTRACT / САЖЕТАК:
The flow of micropolar fluids has very wide practical applications. Starting from biomedical engineering (drug delivery and tissue engineering), through industrial processes (lubrication) to environmental engineering (wastewater treatment and enhanced oil recovery). Due to that, laminar and fully developed MHD flow of a micropolar fluid is considered, between plates that extend in the direction x and z, and are at a distance h from each other. An external magnetic field of intensity B acts perpendicular to the flow direction. Due to the electrically conducting micropolar fluid fluid flow and the effect of the external magnetic field, the internal magnetic field of intensity Bx is induced in the direction of the fluid flow. During the flow of micropolar fluid between the parallel plates, they will be maintained at constant and different temperatures. The considered physical model of micropolar fluid flow, defined by partial differential equations, was analytically transformed to ordinary differential equations and solved in closed form under physically appropriate boundary conditions. The obtained solutions were used for further flow analysis. The results of the analysis are presented in the form of graphs, on which the influence of the characteristic dimensionless parameters on the basic physical parameters of the micropolar fluid is given. Based on the analysis given in the paper, unambiguous conclusions can be drawn regarding the very nature of the flow of micropolar fluids, with special reference to the influence of the induced magnetic field.
KEYWORDS / КЉУЧНЕ РЕЧИ:
micropolar fluid, MHD, induced magnetic field, heat transfer
ACKNOWLEDGEMENT / ПРОЈЕКАТ:
This research was financially supported by the Ministry of Science, Technological Development and Innovation of the Republic of Serbia (Contr. No. 451-03-136/2025-03/200109).
REFERENCES / ЛИТЕРАТУРА:
- Al-Habahbeh O.M., Al-Saqqa M., Safi M., Abo Khater T., Review of magnetohydrodynamic pump applications, Alexandria Engineering Journal, Volume 55(2), 1347-1358, 2016.
- Morley, N. B., Malang, S. and Kirillov, I. Thermo-fluid magnetohydrodynamic issues for liquid breeders, Fusion Science and Technology, Vol. 47, 488-501, 2005.
- Sivak B. A., Grachev V. G., Parshin V. M., Chertov A. D., Zarubin V., Fisenko V. G., Solovev A. A., MHD processes in the electromagnetic stirring of liquid metal in continuous section and bloom casters, Metallurgist, Volume 53(7), 469-481, 2009.
- Eringen A. C., Simple micro fluids; International Journal of Engineering Science, 2, 205 – 217, 1964.
- Eringen A. C., Theory of micropolar fluids, Journal of Mathematics and Vol. 16, 1 – 16, 1966.
- Eringen A. C., Theory of thermomicrofluids, Journal of Mathematical Analysis and Applications, Vol. 38, pp. 480-496, 1972.
- Willson A. J., Boundary Layers in Micropolar liquids, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 67. pp. 469-476, 1970.
- Peddieson J. and McNitt R. P., Boundary layer theory for a micropolar fluid, Recent Advances in Engineering Science, Vol. 5, pp. 405 – 426, 1970.
- Vinoth Kumar B., Sreenivasulu P., Bilal S., Poornima T., Thermal performance of a micropolar fluid flowing around a vertical cone with consideration of spatially varying heat source, Case Studies in Thermal Engineering, Vol. 65, 1-25, 2025.
- Baranovskii E.S., Prosviryakov E.Yu., Ershkov S.V., Mathematical analysis of steady non-isothermal flows of a micropolar fluid, Nonlinear Analysis: Real World Applications, Vol. 84, 2025.
- Kocić M., Stamenković Ž., Petrović J., Bogdanović-Jovanović J.. MHD micropolar fluid flow in porous media, Advances in Mechanical Engineering. Vol. 15(6), 2023.
- Kocić M., Research of magentohydrodynamic flow and heat transfer of micropolar fluids, doctoral dissertation, 2019.
- Mekheimer Kh. S., Peristaltic Flow of a Magneto-Micropolar Fluid: Effect of Induced Magnetic Field, Journal of Applied Mathematics, Vol. 2008, 23 pages, 2008.
- Sajid M., Ali N., Abbas Z. and Javed T., On modelling of two-dimensional MHD flow with induced magnetic field: solution of peristaltic flow of a couple stress fluid in a channel, Iranian Journal of Science & Technology, Vol. 39, 35-43, 2015.