ABSTRACT
Magnetohydrodynamic (MHD) fluid flows attract a lot of attention in the extrusion of polymers, in the theory of nanofluids, as well as in the consideration of biological fluids. The considered problem in the paper is the flow and heat transfer of nano and micropolar fluid in inclined channel. Fluid flow is steady, while nano and micropolar fluids are incompressible, immiscible, and electrically conductive. The upper and lower channel plates are electrically insulated and maintained at constant and different temperatures. External applied magnetic field is perpendicular to the fluid flow and considered problem is in induction-less approximation. The equations of the considered problem are reduced to ordinary differential equations, which are analytically solved in closed form. The influence of characteristics parameters of nano and micropolar fluids on velocity, micro-rotation and temperature fields are graphically shown and discussed. The general conclusions given through the analysis of graphs can be used for better understanding of the flow and heat transfer of nano and micropolar fluid, which have a great practical application. Fluids with nanoparticles innovated the modern era, due to their comprehensive applications in nanotechnology and manufacturing processes, while the theory of micropolar fluids explains the flow of biological fluids and various types of liquid metals and crystals.
KEYWORDS
PAPER SUBMITTED: 2023-05-15
PAPER REVISED: 2023-07-01
PAPER ACCEPTED: 2023-07-10
PUBLISHED ONLINE: 2023-08-05
THERMAL SCIENCE YEAR
2023, VOLUME
27, ISSUE
Issue 6, PAGES [4473 - 4484]
- Eringen, A. C., Theory of Micropolar Fluids, J. Math. Mech., 16 (1966), 1, pp. 1-18
- Chamkha, A., et al., Unsteady MHD Natural Convection from a Heated Vertical Porous Plate in a Micro-polar Fluid with Joule Heating, Chemical Reaction and Radiaton Effects, Meccanica, 46 (2011), Aug., pp. 399-411
- Bachok, N., et al., Flow and Heat Transfer Over an Unsteady Stretching Sheet in a Micro-polar Fluid, Meccanica, 46 (2011), Aug., pp. 935-942
- Sengupta, A., et al., Liquid Crystal Microfluidics for Tunable Flow Shaping, Phys. Rev. Lett., 110 (2013), 4, 048303
- Mekheimer, Kh. S., El Kot, M. A., The Micro-polar Fluid Model For Blood Flow Through a Tapered Artery with a Stenosis, Acta Mechanica Sinica, 24 (2008), Aug., pp. 637-644
- 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
- Uddin, M. J., et al., Lie Group Analysis and Numerical Solution of Magnetohydrodynamic Free Convective Slip Flow of Micro-polar Fluid Over a Moving Plate with Heat Transfer, Computers & Mathematics with Applications, 70 (2015), 5, pp. 846-856
- Choi, S U. S., Eastman, J. A., Enhancing Thermal Conductivity of Fluids with Nanoparticles, Proceedings International Mechanical Engineering Congress and Exhibition, San Francisco, Cal., USA, 1995
- Wang-X.-Q., Mujumdar, A. S., Heat Transfer Characteristics of Nanofluids: A Review, International Journal of Thermal Sciences, 46 (2007), 1, pp. 1-19
- Gorla, R. S. R., Chamka, A., Natural Convective Boundary-layer Flow over a Horizontal Plate Embedded in a Porous Medium Saturated with a Nanofluid, Journal of Modern Physics, 2 (2011), 2, pp. 62-71
- Ellahi, R., et al., A Study of Heat Transfer in Power Law Nanofluid, Thermal Science, 20 (2016), 6, pp. 2015-1026
- Khalili, S., et al., Unsteady MHD Flow and Heat Transfer Near Stagnation Point Over a Stretching/Shrinking Sheet in Porous Medium Filled with a Nanofluid, Chin. Phys. B, 23 (2014), 4, 048203
- Petrović, J., et al., Magnetohydrodynamic Flow and Mixed Convection of a Viscous Fluid and a Nanofluid Through a Porous Medium in a Vertical Channel, Thermal Science, 27 (2023), 2B, pp. 1453-1463
- Abdul Latiff, N. A., et al., Unsteady Forced Bioconvection Slip Flow of a Micro-polar Nanofluid From a Stretching/Shrinking Sheet, Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems, 230 (2016), 4, pp. 177-187
- Elelamy, A. F., et al., Blood Flow of MHD Non-Newtonian Nanofluid with Heat Transfer and Slip Effects: Application of Bacterial Growth in Heart Valve, International Journal of Numerical Methods for Heat & Fluid-flow, 30 (2020), 11, pp. 4883-4908
- Jangili, S., Murthy, J. V. R., Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates, Frontiers in Heat and Mass Transfer, 6 (2015), 1, pp. 1-11
- Jangili, S., et al., Analysis of Entropy Generation in an Inclined Channel Flow Containing Two Immiscible Micro-polar Fluids Using HAM, International Journal of Numerical Methods for Heat & Fluid-flow, 26 (2016), 3-4, pp. 1027-1049
- Umavathi, J. C., et al., Flow and Heat Transfer of Two Micro-polar Fluids Separated by a Viscous Fluid Layer, International Journal of Microscale and Nanoscale Thermal Science, 5 (2014), 1, pp. 25-49
- Kocić, M., et al., MHD Fluid-flow and Heat Transfer of Immiscible Viscous and Micro-polar Fluid between Inclined Plates, Proceedings, 19th International Conference on Thermal Science and Engineering of Serbia, Sokobanja, Serbia, 2019, pp. 354-365
- Elmaboud, Y. E.,Two layers of Immiscible Fluids in a Vertical Semi-Corrugated Channel with Heat Transfer: Impact of Nanoparticles, Results in Physics, 9 (2018), June, pp. 1643-1655
- Arifuzzaman, S.M., et. al., Magnetohydrodynamic Micro-polar Fluid-flow in Presence of Nanoparticles Through Porous Plate: A Numerical Study, International Journal of Heat and Technology, 36 (2018), 4, pp. 936-948
- Akbar, M. Z., et al., Heat and Mass Transfer Analysis of Unsteady MHD Nanofluid-flow Through a Channel with Moving Porous Walls Medium, AIP Advances, 6 (2016), 4, 045222
- Stamenković, Ž., et. al., Flow and Heat Transfer of Three Immiscible Fluids in the Presence of Electric and Inclined Magnetic Field, Thermal Science, 22 (2018), Suppl. 5, pp. S1575-S1589
- Kocić, M., et al., Control of MHD Flow and Heat Transfer of a Micro-polar Fluid through Porous Media in a Horizontal Channel, Fluids, 8 (2023), 3, 93